SAT Diagnostic Practice Test 1

  • SAT
Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Danielw9
D
Danielw9
Community Contributor
Quizzes Created: 7 | Total Attempts: 2,729
| Attempts: 247 | Questions: 103
Please wait...
Question 1 / 103
0 %
0/100
Score 0/100
1) The reason that television networks air such trashy programs is because it is what the viewers want to see.

Explanation

The given correct answer suggests that television networks air trashy programs because those programs are what the viewers want to see. The phrase "that these are what" implies that the trashy programs align with the preferences and demands of the audience.

Submit
Please wait...
About This Quiz
SAT Diagnostic Practice Test 1 - Quiz

SAT Diagnostic Practice Test 1 assesses mathematical reasoning through problems on consecutive odd integers, roots, percentages, algebraic simplifications, and averages. It is designed to prepare learners for SAT, enhancing their problem-solving skills and readiness.

Personalize your quiz and earn a certificate with your name on it!
2) As a writer, it is surprising to me that so few high school graduates can write a coherent sentence.

Explanation

The correct answer is "I am surprised that so few." This answer accurately reflects the writer's personal surprise at the low number of high school graduates who can write a coherent sentence. The phrase "I am surprised" conveys the writer's personal reaction, and "that so few" emphasizes the small number of graduates with this skill.

Submit
3) Solve for x: 

Explanation

-5 ≤ (2x - 1)/ 5 ≤ 5 => -25 ≤ 2x -1 ≤ 25
Or- 24 ≤ 2x ≤ 26
Or -12 ≤ x ≤ 13

Submit
4) When one of my seizures strikes, I feel as if I were paralyzed, if only for a moment.

Explanation

The correct answer is "strikes, I feel as if I were." This is the correct answer because it uses the correct verb form "were" to match the subjunctive mood of the sentence. The speaker is describing a hypothetical situation or a feeling that may not be true in reality, so the subjunctive mood is used.

Submit
5) Alda can complete a test in  .

Explanation

The correct answer is "nab" because it is the only option that makes sense in the given context. The other options "n", "ab", "nab", "a", and "b" do not form a coherent sentence or phrase. Therefore, "nab" is the most logical choice as it is the only combination of letters that could potentially have a meaning or be a word.

Submit
6) My uncle, who A was B on vacation, along with my two cousins and I C, went D fishing down by the river. No errorE.

Explanation

Change I to me (object of a preposition).

Submit
7) An operation * is defined as follows: For any two positive numbers x and y,

Explanation

The operation * is defined as the product of two positive numbers. In this case, the answer is 7 * 4, which equals 28.

Submit
8) If x2y > 0 and xy2 < 0,then which of the following are true?  

Explanation

Option A cannot be chosen, if x = 0 then both the inequalities given will be zero which is not true.
Option B be cannot be chosen, if y = 0 then both the inequalities given will be zero which is not true.
Option C cannot be chosen, if x > 0 and y Option D is correct. If x2y n> 0, then x2 is anyway positive, hence y must also be positive so that the product is positive. If xy2 0.
Option E cannot be correct. If both x and y are positive, then only x2y > 0 will be true and xy2 will be false.

Submit
9) All the trapped miners began A to lose B hope, it C had been twenty four hours since D the tunnel collapsed. No errorE.

Explanation

Change the comma to a semi-colon since you can't join two sentences with a comma. You could use a comma and conjunction, but since the two sentences are related, a semicolon is a better fit.

Submit
10) Because A they played by B the rules, the members of the team were given C a standing ovation even though it D did not win the match. No errorE.

Explanation

It has no antecedent. Change to they or the team.

Submit
11) He was expected not merely A  to contribute funds to the project, but B to work as hard as C the other D patrons. No errorE.

Explanation

No error. Parallel structure.

Submit
12) The teacher sat A down besides B the frightened child and tried to reassure C him that the monster was merely D imaginary. No errorE.

Explanation

Change besides to beside. "Beside" is a preposition meaning "next to." "Besides" is a preposition meaning "except"

Submit
13) A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?

Explanation

Number of red marbles in the jar = 10+x
Total number of marbles in the jar = 10+x+30 = 40+x
According to the problem,
10+x/40+x = 10(10+x) = 6(40 + x)
Or 100 + 10x = 240 + 6x or 4x =140 or x = 35
Hence, 35 red marbles must be added to the jar.

Submit
14) What will be the value of x, if 8x+2 = 24x-3?  

Explanation

8;x+2 = 24x-3, (23)x+2= 24x-3, 23x+6= 24x-3
As the bases are same, the powers can be equated. Hence
3x+6 = 4x-3 or - x = - 9 Or x = 9

Submit
15) A monkey climbs a slippery pole by thrusts. The pole is 30 feet high. With every thrust, it goes up 5 feet in 5 seconds and slips down 3 feet in 1 second. How many seconds will it take to climb the pole?  

Explanation

Distance climbed by the monkey in 6 seconds
= 5 feet - 3 feet = 2 feet
In 6 seconds it climbs 2 feet. It climbs 26 feet in 78 seconds and the remaining 4 feet in 4 seconds. So the total time is 82 seconds.

Submit
16) As were many colonial administrators, Gregory was ____ in his knowledge of the grammar of the local language, though his accent was ____ .

Explanation

Clue: ‘though’ indicates the need for opposites.
Therefore, we say that he was faultless (perfect) in his grammar, though his accent was awful. [This is the only pair of opposites.]
(erratic = unpredictable; eccentric = odd)

Submit
17) Although alarmed by the ____ , Professor Symes had no reason to doubt the ____ of his student's results, for this student was nothing if not reliable.

Explanation

Clue: ‘Nothing if not’ means ‘very’. So if the student is very reliable the professor would not doubt the ‘truth’ or ‘veracity’ of the results. Since the student is reliable we can eliminate the ‘error’ choice, and choose ‘implications’.
(folly = foolishness; impudence = cheekiness; veracity = truth; inferences = something we can deduce)

Submit
18) The statements made by the husband in the passage reveal:

Explanation

The statements made by the husband include "...here is something for you"
and "| thought you would be g|ad." He eventually gives in to her request for
money to buy a new dress. This information on best supports answer choice C

Submit
19) The wife's approach to obtaining a new dress can best be described as:

Explanation

A good example of the wife’s manipulative behavior is found in the third
paragraph. She is crying, but when he asks her whats wrong, she responds.
"Nothing Only I have no dress, and therefore I can’t go to this ball. Give your
card to some colleague whose wife is better equipped than I." She is letting
him know that she cannot go to the party with her current dress. and therefore
she needs a new one. The other answer choices are not supported by the
passage,

Submit
20) As he is revealed in the section where he presents the invitation to his wife, the husband best be characterized as:

Explanation

The tirst paragraph states the husband "retumed home with a triumphant air’
bearing the invitation. The second paragraph further explains his elation by
showing that he says. _ _"I had awful trouble to get it. Everyone wants to go; it
is very select, and they are not giving many invitations to clerks." This
information best supports answer choice B.

Submit
21) Information in Paragraph 4 reveals that the husband is unhappy about the 400 francs because he was planning to spend the same amount on:

Explanation

The fourth paragraph clearly states that "he was laying aside just that amount
to buy a gun and treat himself to a little shooting next summer on the plain of
Nanterre, with several friends who went to shoot Iarks down there..." The
other answer choices are not supported by details in the passage.

Submit
22) It can most reasonably be inferred from the second paragraph that the statement "lt looks very well .. to me" is:

Explanation

The second paragraph specifically says that he stammered his response.
Stammering typically shows hesitation. He also says that "It looks very well __
to me." The ellipsis indicates a pause that shows that he is trying to convince
her that he thinks it looks good, but shows that he has some doubt himself.
The other answer choices are not supported by the passage.

Submit
23) In the passage, a comparison can be made between the wife's and husband's desires. This comparison is best stated as:

Explanation

The passage begins by explaining that the wife “would so have liked to
please, to be envied, to be charming, to be sought after.” The rest of the
passage further illustrates her desire to get attention from others. The
passage ends by showing that the husband wants the money for his gun and
hunting trip, even though he ends up giving the money for his wife.

Submit
24) Paragraph two paints a picture of a woman who is

Explanation

Paragraph two reveals the poor state of health of Ms. Nightingale. (Her heart was affected; she suffered attacks of utter physical prostration etc.). But it also shows that she never gave up and could not be put off her work.(She would not rest; there was work to be done and she would do it etc.). Hence she was physically weak but mentally indomitable. Answer D.

Submit
25) The series of questions in paragraphs 2 and 3 are

Explanation

The questions are a rhetorical device used by the author to try to give us a flavor of the thoughts that preoccupied Ms. Nightingale. Answer A. (If you re-read, you will see that they cannot be actual questions or responses.)

Submit
26) If 40% of x is equal to 30% of y, what % is x of y?

Explanation

As other percents given are not equal to the calculated percentage, B is the correct option.

40x/100 = 30y/100, hence x/y 100% = 3/4 100% = 75%

Submit
27) If p > 0, which of the following is equal to √48p3

Explanation

Option A is correct: √48p^3 = √16 x 3 x p x p x p = 4p√3p
Option B is incorrect: (3p√4p)^2 = 9p^2 X 4p = 36p^3
Option C is incorrect: (2√12p)^2 4 x 12p = 48p
Option D is incorrect: (3√8p)^2 = 9 x 8p = 72p
Option E is incorrect: (16p√3p)^2 = 256p x 3p = 768p^3
Option C is incorrect: (16p√3p)^2 = 256p^2 X 3p = 768p^3

Submit
28) The average of 11 numbers is 21 . The average of seven of those numbers is 25. What is the average of the remaining four numbers?

Explanation

The average of the 11 numbers is given as 21. This means that the sum of all the 11 numbers is 11 multiplied by 21, which is 231. The average of the seven numbers is given as 25, which means the sum of those seven numbers is 7 multiplied by 25, which is 175. To find the sum of the remaining four numbers, we subtract the sum of the seven numbers (175) from the sum of all 11 numbers (231). This gives us 56 as the sum of the remaining four numbers. To find the average of these four numbers, we divide the sum (56) by the count (4), which gives us an average of 14.

Submit
29) The question, "And what do you want me to put on my back?" in the second paragraph helps establish that the wife is anxious because:

Explanation

3 The second paragraph shows that the wife is surprisingly upset about the
I invitation, thus setting the stage for an explanation of why she is upset. She
i asks “And what do you want me to put on my back'?” He responds that she
should wear the dress she wears to the theater. This shows that he knows
she is referring to the fact that she doesn't feel that she has a suitable dress
for the party. The other answer choices are not supported by the passage.

Submit
30) The author implies that the 'professional schoolmaster' (line 7) has

Explanation

When we look back to line 7, we read, "The professional schoolmaster was a match for both of them, and has almost managed to make the understanding of chemical reactions as dull and as dogmatic an affair as the reading of Virgil's Aeneid."
This tells us that the schoolmaster has made learning dull. And so we eliminate answers C and E which imply he has done something good.
But to be sure of the answer we should also read the previous sentences. We learn that, "The pioneers of the teaching of science imagined that its introduction into education would remove the conventionality, artificiality, and backward-lookingness which were characteristic of classical studies......" This section tells us that other people tried to alter the nature of education, but the "professional schoolmaster was a match for both of them". He therefore prevented (thwarted) these attempts, and the answer is B.

Submit
31) Having no more food in her backpack, it was necessary for Maria to begin foraging for edible berries.

Explanation

The phrase "Maria had" is the most suitable completion for the given sentence. It implies that Maria possessed something that made it necessary for her to begin foraging for edible berries. The other options do not provide a clear reason or cause for Maria's need to forage for berries.

Submit
32) If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?

Explanation

Option A is not correct her rate is not equal to 1 test per hour.
Option B is not correct as she can complete ab tests in 1 hour.
Option C is correct. Alda completes the tests at the rate of a tests/(1/b) hours = ab tests/hour. Hence in n hours she can complete nab tests.
Option D is not correct as she completes a tests in 1/b hours.
Option E is also not correct.

Submit
33) If 4(3x - 3) = 24, what is 5x - 5?

Explanation

To solve the equation 4(3x - 3) = 24, we first distribute the 4 to the terms inside the parentheses: 12x - 12 = 24. Then, we isolate the variable by adding 12 to both sides of the equation: 12x = 36. Finally, we solve for x by dividing both sides of the equation by 12: x = 3.
To find 5x - 5, we substitute the value of x into the equation: 5(3) - 5 = 15 - 5 = 10. Therefore, the answer is 10.

Submit
34) If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is the ratio of one dot to one star?

Explanation

According to the given information, 2 dots are equal to 3 dashes and 5 dashes are equal to 7 stars. To find the ratio of one dot to one star, we need to find a common factor between dots and stars. We can do this by finding a common factor between dots and dashes, and then between dashes and stars. The common factor between dots and dashes is 3, and the common factor between dashes and stars is 5. Therefore, the ratio of one dot to one star is 3/5. Simplifying this ratio gives us 21/10.

Submit
35) It can most reasonably be inferred that the husband 'grew a little pale" in the next-to-last paragraph because:

Explanation

The fourth paragraph explains that the wife knew she had to come up with a
“sum she could ask without drawing on herself an immediate refusal and a
frightened exclamation from the economical clerk." At this point, the reader is
made aware that the husband might be upset at the amount of money the wife
asks for. When she asks for four hundred francs, and he grows a little pale, it
is clear that he is concerned about the amount. The paragraph then goes on
to explain that he was trying to save that money for something for himself.

Submit
36) The author's attitude to his material is

Explanation

The author is highly involved in his subject. He tries to make the matter interesting, and tries to state what Ms. Nightingale’s thoughts and reactions were. This is best covered by saying he narrates and interprets. Answer E.

Submit
37) In her statement (lines 53-54) Miss Nightingale intended to

Explanation

Ms. Nightingale was not quoting actual figures (eliminate E). She was also not concerned about conditions in hospitals in general (eliminate A) - she was concerned with military hospitals, and the conditions in the army in general. The last line tells us that her main concern was the ‘health of the army’. So her main point is that ordinary solders were living in unsanitary conditions, and answer B is best. She is not ridiculing the dangers she is pointing them out (eliminate D). She is not proving anything (eliminate C).

Submit
38) Anna Warren, an accomplished painter whose art has been shown in museums and galleries throughout American and Europe, becoming as well known for her landscapes as for her still-lifes.

Explanation

Anna Warren has gained equal recognition for her landscapes and still-lifes.

Submit
39) Some psychologists continue to believe that the mind is largely independent of the body; most, however, believe that human behavior can be explained solely in terms of the functions of the brain.

Explanation

Most psychologists believe that human behavior can be explained solely in terms of the functions of the brain, even though some still hold the belief that the mind is largely independent of the body.

Submit
40) The greatest feature of this audio system is it is able to play music in almost any format.

Explanation

The correct answer is "it ability to play". This answer correctly identifies the feature of the audio system being discussed, which is its ability to play music in almost any format.

Submit
41) If I wouldn't have been in such a hurry to get tot the reception, I would not have left my wallet at the hotel.

Explanation

The correct answer is "If I had not been." This phrase is the correct conditional form to express a hypothetical situation in the past. It indicates that if the person had not been in a hurry, they would not have left their wallet at the hotel.

Submit
42) The vacation cottage was tiny, dirty, and it was lit with very dim lighting.

Explanation

The correct answer is "dimly lit." This is because the sentence states that the vacation cottage had very dim lighting. "Dimly lit" is the correct way to describe a place that has low or insufficient lighting.

Submit
43) Which of the following is equivalent to 6x 2 + x - 12 ?

Explanation

The given expression is 6x^2 + x - 12. The correct answer, (2x + 3)(3x - 4), can be obtained by using the distributive property to multiply the two binomials. When we multiply (2x + 3) with (3x - 4), we get 6x^2 - 8x + 9x - 12, which simplifies to 6x^2 + x - 12. Therefore, (2x + 3)(3x - 4) is equivalent to the given expression.

Submit
44) Although most people shudder when they recall analyzing sentences in school, nevertheless a recent book about grammar has become a best seller.

Explanation

The given answer correctly states that "a recent book about grammar has become a best seller." This answer accurately reflects the information provided in the sentence, which mentions that a book about grammar has become popular despite people's aversion to analyzing sentences in school. The answer is grammatically correct and conveys the main idea of the sentence.

Submit
45)

Explanation

The given sequence of numbers is 81, 40, 72, 9, 18. If we observe closely, we can see that each number is obtained by multiplying the previous number by a certain factor. In this case, the factor is 0.5. Starting with 81, we multiply it by 0.5 to get 40.5, which is rounded down to 40. Then, we multiply 40 by 0.5 to get 20, and so on. Therefore, the next number in the sequence would be obtained by multiplying 18 by 0.5, giving us 9. Finally, multiplying 9 by 0.5 gives us 4.5, which is rounded up to 5. However, since 5 is not given as an option, the correct answer is 72, which breaks the pattern and does not follow the multiplying factor.

Submit
46) The coach gave Fernando a few words of encouragement before the game, this was in order to boost the pitcher's confidence.

Explanation

The coach gave Fernando a few words of encouragement before the game, indicating that the purpose of this action was to boost the pitcher's confidence.

Submit
47) A social welfare organization spends 40% of the funds collected towards old-age homes. If during an year 1.6 million dollars was spent on old-age homes, what is the total amount of funds collected in millions of dollars?

Explanation

Option A is correct.
Let the total fund = n million dollars
40% of n = 1.6 million dollars
Or 0.4n = 1.6 million dollars
Or n = 1.6/0.4 million dollars = 4 million dollars
Hence 40% of 4 is 1.6
B is not correct, as 40% of 6 is 2.4 and not 1.6
C is not correct, as 40% of 4.6 is 1.84 and not 1.6
D is not correct, as 40% of 40 is 16 and not 1.6
E is not correct, as 40% of 1.6 is 0.64 and not 1.6

Submit
48) Although John Dewey profoundly influenced American philosophy of the 20th century, modern philosophers do not find his ideas to be as resonant in the regard that they find his writings almost incomprehensible.

Explanation

Modern philosophers do not find John Dewey's ideas to be as resonant because they find his writings almost incomprehensible.

Submit
49) In the given figure, Note: Figure not drawn to scale.

Explanation

As other angle measures are not equal to the calculated measure of ∠ABC, only
option C is correct.
Exterlor angle of a tr|angle |s equal to the sum of its two interior opposite angles.
∠ABD = ∠BDC - ∠BAD = 60° - 30° = 30°
∠CBD = ∠BCE - ∠BDC = 130° - 60° = 70°
∠ABC = ∠ABD + ∠CBD = 30° + 70° = 100°

Submit
50) A hierarchical power structure is not a necessity of modern society, and actually is antithetical to true democracy.

Explanation

A hierarchical power structure is not necessary for modern society and is actually opposed to true democracy.

Submit
51) A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50 miles/hr, 35 miles/hr and 13 miles/hr respectively.Find the average speed of the car in miles/hr.

Explanation

As other speeds given are not equal to the calculated average speed only option B is correct.
Speed = distance traveled/time taken
Total distance traveled = (250 +700 + 325) mile = 1275 miles
Time = distance/speed
Total time = (250/50 + 700/35 + 325/13) hrs = (5 + 20 + 25) hrs = 50 hrs
Average speed of the car = 1275/50 miles / hr = 25.5 miles/hr

Submit
52) Completely devoid of artistic merit, the film used shock tactics in an effort to gain publicity and increasing their ticket sales.

Explanation

The correct answer is "and increase ticket sales." This option accurately completes the sentence by providing a parallel structure and maintaining the intended meaning. It suggests that the film used shock tactics in order to both gain publicity and increase ticket sales.

Submit
53) By which of the following number is 98765432 exactly divisible?

Explanation

Option A is not correct is not correct. 98765432 is not divisible by 9 as the sum of its digits 44 is not divisible by 9.
Option B is not correct as 98765432 is not divisible by 7.
Option C is not correct as the last digit of 98765432 is not 5, hence 98765432 is not divisible by 5.
Option D is correct. Using the tests of divisibility, we know that a number is divisible by 8 if its last three digits are divisible by 8. The last three digits of the given number 432 is divisible by 8.
Option E is not correct. As the difference of the sum of digits in its even and odd places {(9 + 7 + 5 + 3) - (8 + 6 + 4 + 2)} 4 is not a multiple of 11, 98765432 is not divisible by 11.

Submit
54) In a class of 30 students, 14 take tea and 20 take coffee. How many take both tea and coffee?

Explanation

Number of students in the class = n(T∪C) = 30
Number of students who take tea = n(T) = 14
Number of students who take coffee = n(C) =20
Number of students who take both tea and coffee = n(T∩C)
n(T∩C) = n(T) + n(C) - n(T∪C)
=14 + 20 - 30 = 34 - 30 = 4

Submit
55) We have no choice but A to appoint Mary:B she is the best C of the two candidates, and there isD no prospect of finding more applicants. No errorE.

Explanation

Since there are only two candidates we must use better not best.

Submit
56) In the given figure, area of square ABED is 9 square units, BC = 5 units, EF = 1 unit. Find the area of the rectangle BCGF. 

Explanation

As other areas given are not equal to the calculated area, only option D is correct.
Area of square ABED = 9 square units or side of square ABDE
BE = side of square ABED = 3 units
EF = 1 unit.
Width of the rectangle BCGF= BF = BE + EF
= 3 units + 1 unit = 4 units
Length of the rectangle BCGF= BC = 5 units
Area of the rectangle BCGF = 1 * w
= 5 * 4 square units
= 20 square units

Submit
57) The reason I will A not be going B to Mexico this year is because C I will use up all my travel money attendingD an important meeting in Singapore. No errorE.

Explanation

The correct usage is to say, “the reason is that”, not “the reason is because”. 'Reason is because' is a redundancy. 'Because' already means 'for the reason that'

Submit
58) If y2 = c, where y and c are integers, which of the following could be the value of c?

Explanation

Option A is not correct. y2 = c implies that c must be a perfect square. But 45 is not a perfect square.
Option B is not correct y2 = c implies that c must be a perfect square. But 17 is not a perfect square.
Option C is correct. y2 = c implies that c must be a perfect square. 64 is a perfect square.
Option D is not correct y2 = c implies that c must be a perfect square. But 34 is not a perfect square.
Option E is not correct. y2 = c implies that c must be a perfect square. But 10 is not a perfect square.

Submit
59) If you were A to work at least four hours a day on the project, we would B complete it in a shorter C time, and with less D problems. No errorE.

Explanation

Change less to fewer. Generally, when nouns are 'countable' use fewer; when nouns are 'uncountable' use less.

Submit
60) In a store  

Explanation

As other answers are not equal to the calculated answers, only option C is correct. 1$ = 100 cents and 1 pound = 16 ounces.
Price/weight = 12/45 dollars/pounds = 1200/ (45*16) cents/ounces
= n/9 cents/ounces
Or 1200 * 9 = 4.5 * 16 * n
or n = 1200 * 9/72 = 150 cents

Submit
61) The manager tried hard to effect A a change in company policy, but B the owner, who steadfastly refused to compromise C, overruled D him on every point. No errorE.

Explanation

No error.

Submit
62) Each month for 6 months the price of a commodity is doubled. At the end of the 6 months the price of the commodity is $640. What was the price of the commodity at the end of 3 months?

Explanation

The price of the commodity doubles each month for 6 months, so we can find the original price by dividing the final price by 2 raised to the power of the number of months (6). $640 divided by 2 raised to the power of 6 is $640 divided by 64, which equals $10. Therefore, the price of the commodity at the end of 3 months would be $10 divided by 2 raised to the power of 3 (since 3 months is half of 6 months), which equals $10 divided by 8, or $1.25. However, none of the given options match this calculation, so the correct answer cannot be determined.

Submit
63) The new library is undoubtedly A well stocked and functional, but B no one can say that its C atmosphere is anything like the old one D. No errorE.

Explanation

Incorrect comparison. Atmosphere must be compared to atmosphere. We could write, “... its atmosphere is anything like 'that' of the old one.”

Submit
64) We hope A, we can be B able to complete the building before C the rainy season sets in D. No errorE.

Explanation

Hope implies future tense. Change 'can' to 'will'.

Submit
65) You would A have to choose her B, if you are looking for C the best athlete to represent D the school. No errorE.

Explanation

Change would to will. 'Will' is future tense. 'Would' is conditional (e.g., If I knew the answer, I would tell you).

Submit
66) In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of  Note: Figure not drawn to scale.  

Explanation

Option A is correct, as ∠CFD+∠BFC+ ∠AFB lie on the same line AD.
Hence their sum must be 180°
∠CFD, ∠BFC and ∠AFB = 180°
∠CFD + 90° + 40° = 180° (angle on a line) Or ∠CFD = 180° - 130° = 50°
Option B is not correct as 40°+90°+40°≠180°
Option C is not correct as 100°+90°+40°≠180°
Option D is not correct as 90°+90°+40°≠180°
Option E is not correct as the single angle CFD itself is 180°

Submit
67) At what point will 12x2 + 5x + 1 attain the minimum value?

Explanation

Option A is not correct as –b/2a ≠ 5/24
Only option B is correct, as the other values given do not satisfy
The given condition for point of minimum value, that is –b/2a
Option C is not correct as –b/2a ≠ 5/8
Option D is not correct as –b/2a ≠ 24/5
Option E is not correct as –b/2a ≠ 8/15

Submit
68) If x and y are multiples of 3, which of the following CANNOT also be a multiple of 3?

Explanation

Option A is not correct. Sum of two multiples of 3 is also a multiple of 3. Example: 6 and 9 are multiples of 3, their sum 15 is also a multiple of 3.
Option B is not correct. Difference of two multiples of 3 is also a multiple of 3. Example: 15 and 9 are multiples of 3, their difference 6 is also a multiple of 3.
Only option C is correct. Sum of two multiples of 3 increased by 1 is not a multiple of 3. Example: 6 and 9 are multiples of 3, their sum 15 increase by 1 that is 16 is not a multiple of 3.
Option D is not correct. Product of two multiples of 3 is also a multiple of 3. Example: 6 and 12 are multiples of 3, their product 72 is also a multiple of 3.
Option E is not correct. Product of two multiples of 3 increased by 3 is also a multiple of 3. Example: 6 and 12 are multiples of 3, their product 72 increased by 3 that is 75 is also a multiple of 3.

Submit
69) Her avaricious A relatives assembled at the lawyer's B office to hear the reading of C Jemima's will D. No errorE.

Explanation

No error.

Submit
70) How many positive integers less than 80 are equal to the product of a positive multiple of 5 and an even number?

Explanation

Only option E is correct as there are only 7 numbers which satisfy the given condition in the question that is all positive integers less than 80 which are equal to the product of 5 and an even number.
5 x 2 = 10, 5 x 4 = 20, 5 x 6 = 30, 5 x 8 = 40, 5 x 10 = 50,
5 x 12 = 60,
5 x 14 = 70, hence the required numbers are 10, 20, 30,40,50,60 and 70

Submit
71) Find the equation of the line through (2, 3) perpendicular to 4x - 3y=10.

Explanation

Only option D is correct as the other equations do not satisfy the given conditions
of the equation of a line through (2, 3) and perpendicular to 4x-3y=10
Equation of a line perpendicular to the given line is
3x+4y+z=0 or 3*2+*3+z=0 or 18+z=0 or z=-18. Therefore, the equation of the
required line is 3x+4y-18=0 or 3x+4y=18

Submit
72) None of us A knows B what the outcome of the battle between C the coordinator and us D will be. No errorE.

Explanation

No error.

Submit
73) A wire bent in the form of a circle of radius 21units is cut and bent to form a square. What is the ratio of area of circle to that of the square?

Explanation

Only option E is correct as the other ratios given do not satisfy the relation
Radius = 21units
Circumference = 2πr = 2 * 22/7 *21 units = 132 units
Circumference of the circle = perimeter of the square or
4a = 132 units or a = 33 units
Therefore, side of the square is 33 units
Area of circle: Area of square = πr2:a^2
= 22/7 *21*21: 33*33
=14:11

Submit
74) Neither of my brothers do A anything to make life better for our B parents who C are both suffering from D arthritis. No errorE.

Explanation

Neither is singular and so we should change do to does.

Submit
75) If a function f(x) is defined by

Explanation

Option A is not correct as f(3x+3 / x-1) ≠ x+1
Option B is correct as
f(3x+3 / x-1) = (3x+3 / x-1 + 3) / (3x+3 / x-1 - 3)
= (3x+3+3x-3) / (3x+3-3x+3)
= 6x/6 = x
Option C is not correct as f(3x+3 / x-1) ≠ x-1
Option D is not correct as f(3x+3 / x-1) ≠ x+3
Option D is not correct as f(3x+3 / x-1) ≠ x-3

Submit
76) A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252 pounds. Find the least number of bags of equal size required to pack them without mixing.

Explanation

Capacity of each bag = HCF of 77, 147 and 252 = 7 pounds.
Total number of bags required = 77/7 + 147/7 + 252/7
11 + 21 + 36 = 68

Submit
77) A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8 and 16, what is the surface area of the cube?  

Explanation

Volume of rectangular solid = volume of cube.
Or l * w * h = s3 or 4 * 8 * 16 = s3 or s3 = 512
Or s = 8 Surface area of the cube = 6s2 = 6 * 8 * 8 = 384

Submit
78) Twenty persons, among whom A and B, sit at random around a round table. Find the probability that there are any 6 persons between A and B.  

Explanation

Let A occupy any seat around the table. Then there are 19 seats available for B. But if there are to be six persons between A and B, then B has only two ways to sit.
Thus, the required probability is 2/19

Submit
79) In the given figure, AB is parallel to CD.

Explanation

Draw a line XY through O parallel to either AB or CD.
Then the figure will look like as given below.

C N D


X O Y




A M B


As all the three lines in figure are parallel, we have the following relations:
∠CNO = ∠NOY = 55 degrees (interior alternative angles)
∠AMO = ∠MON = ∠MOV + ∠NOY
= 55 degrees + 36 degrees = 91 degrees

Submit
80) The flowers in a basket become double after every minute. In one hour, the basket becomes full. After how many minutes the basket would be half filled?  

Explanation

The basket was half filled after 59 minutes.
If there were half the number of flowers in the basket after 59 minutes, then the basket would be full in the next minute, as the flowers double after every minute.

Submit
81) In the given figure,  

Explanation

Let 0 be the center of the circle, then ∠QOR is the angle subtended by the arc QR

The angle subtended by an arc at the center of a circle is double the angle subtended
by the same arc on the remaining part of the circle

Therefore, ∠QOR = 2 * 65 degrees = 130 degrees

Submit
82) A person had 72 mangoes, he had given them to three persons A, B and C, in such a manner that A got thrice as many as B, and the sum total of mangoes A and B got was 60. He had given the remaining mangoes to C. Express in decimal the fraction of mangoes C got out of the total.  

Explanation

Sometimes in some problems, some extra information is given, which is not required to solve the problem. Here, it is clear that the number of mangoes C got is 12.
Total 72 mangoes minus 60 mangoes given to A and B. Hence, Fraction of mangoes C got out of the total number of mangoes
= 12/72 = 1/6 = 0.16666. , this can be rounded to 0.167

Submit
83) He was treated like a(n) ____ and cast out from his community.

Explanation

Clue: He was cast out. An outcast is a pariah.
(ascetic = one who lives a severe existence without indulgences; prodigy = genius, or very talented; prodigal = wasteful person; tyro = novice, beginner)

Submit
84) The teacher accused me of ____ because my essay was so similar to that of another student.

Explanation

Clue: ‘because’ gives a reason for the word that is needed. If the essay is so similar it looks as though it is copied. To copy without giving acknowledgment is plagiarism.(procrastination = putting off, delaying; celerity = speed; decorum = good and correct behavior)

Submit
85) We live in a ____ age; everyone thinks that maximizing pleasure is the point of life.

Explanation

Clue: The part after the semicolon explains what kind of age we are talking about.
So, since we are told that maximizing pleasure is the point, the word we need is hedonistic (pleasure seeking).
(ubiquitous = found everywhere; propitious = favorable; sporadic = intermittent, not continuous)

Submit
86) Thankfully the disease has gone into ____ ; it may not recur for many years.

Explanation

Clue: The part after the semicolon explains the first part of the sentence.
So, something that may not recur for some time would be in remission.
(sequestration = isolation; quarantine = isolation; remission = temporary improvement in a disease; oblivion = state of being unaware)

Submit
87) People from all over the world are sent by their doctors to breathe the pure, ____ air in this mountain region.

Explanation

Clue: Since the air is described as ‘pure’ we need a positive word. Also, since doctors recommend it, the air must be good for health.
Therefore, we choose invigorating which means energizing.
(soporific = sleep-inducing; debilitating = weakening; insalubrious = unhealthy; aromatic = pleasant-smelling)

Submit
88) Though Adam Bede is presented to us by the author as ____ fiction, there are none of the life-like meanderings of the story of Amos Barton.

Explanation

Though Adam Bede is presented to us by the author as ____ fiction, there are none of the life-like meanderings of the story of Amos Barton.

Submit
89) There is a general ____ in the United States that our ethics are declining and that out moral standards are ____ .

Explanation

Clue: ‘and’ usually joins things of similar meaning or weight. This suggests that since ethics are declining, moral standards are also declining (deteriorating). Almost any word except ‘optimism’ would have fit the first blank.
(futile = useless, ineffective; escalating = increasing)

Submit
90) Homo sapiens, the proud splitter of the atom, inventor of the electronic computer, ____ of the genetic code may be humbled by a lowly ____ of the sewers and soils - the microbe.

Explanation

Clue: The first blank requires something that conveys what man has done to the genetic code - the only two suitable words are ‘discoverer’ or ‘decipherer’. But since a microbe is not a rodent, we can eliminate that pair.
(rodent = animal like a rat or mouse; decipherer = someone who decodes; denizen = inhabitant)

Submit
91) After centuries of obscurity, this philosopher's thesis is enjoying a surprising ____ .

Explanation

Clue: The sentence tells us that the thesis has been in obscurity (forgotten or neglected) but now it is being revived. We can say it is undergoing a renaissance (revival). (remission = temporary cessation of a disease; decimation = destruction; longevity = length of life)

Submit
92) The threat of war, far from ____ , lay heavily in the air, and the villagers, while ____ going about their normal activities, were unable to shake off the feeling of impending catastrophe.

Explanation

Clue: ‘Far from’ indicates that an opposite point is being made. So, since there is a feeling of impending catastrophe the threat of war is far from getting less. This indicates that ‘receding’, diminishing’, or ‘subsiding’ might be suitable. We can eliminate these last two since their partner words ‘contentedly’ and ‘felicitously’ are inappropriate for a feeling of danger. So the villagers are only apparently (ostensibly) behaving normally.
(escalating = increasing ; felicitously = happily, suitably)

Submit
93) The passage is written from the point of view of:

Explanation

The passage is written from the third-person point of view. The husband and
wife are consistently referred to as "he" and “she." The reader is privy to the
thoughts of both the husband and wife. These traits are characteristic of
something written by a narrator. and not by one of the characters in the
passage.

Submit
94) Which of the following best describes the author's approach to depicting the story's main characters?

Explanation

The passage is essentially a dialogue between two people, with occasional
interjections describing the couple or their inner thoughts. One of the first
things that happens in the passage is that the husband brings his wife an
invitation to a party. The passage goes on to show the wife's reactions to the
invitation by giving direct quotations of what she says, and then shows the
husband`s reactions to her by giving direct quotations of what he says. The
other answer choices are not supported by the structure of the passage.

Submit
95) The author’s attitude to secondary and public school education in the sciences is

Explanation

To find the attitude, try asking yourself whether the author is positive, negative or neutral to the subject. Then look for the evidence. Here, it is obvious that he thinks that nothing very valuable is learned in school about science and scientific method. He is therefore negative. Eliminate the neutral (A and B) words, and the positive (C), and then decide between D and E. He seems to be expressing contempt rather than mocking. And so E is the best choice.

Submit
96) The word ‘palpably’ (line 24) most nearly means

Explanation

Go back to the text and find a word of your own to replace ‘palpably’ before you even look at the choices. We read, "As to the learning of scientific method, the whole thing is palpably a farce." Here, I could substitute ‘obviously’ or ‘clearly’. As it happens, one of the words is there in the choices. (B). If it had not been there, there would have been something sufficiently similar to make a choice.

Submit
97) The author blames all of the following for the failure to impart scientific method through the education system except

Explanation

Be careful on ‘except’ questions. You are looking for something the author does not do.
He does blame poor teaching, (lines 7-10), exams (line 26), social and education systems (line 36), lack of direct experience (lines 34-38), but he never blames the students. Hence answer E.

Submit
98) If the author were to study current education in science to see how things have changed since he wrote the piece, he would probably be most interested in the answer to which of the following questions?

Explanation

This is an ‘inference’ question. We need to find out what the author’s main complaint is. This concern of the author will tells us what he would like to see. From lines 11 to 18 in particular we learn that he is especially interested in whether a student can apply his or her knowledge. So, we conclude that answer C is best.

Submit
99) Astrology (line 31) is mentioned as an example of

Explanation

Astrology is mentioned as a ‘quackery’. Quackery is something that claims to be true but is actually based on falsity. He implies that people are fooled by astrology, but he also implies that there are other more ‘dangerous’ ideas. So we eliminate A, B and D. It is not likely that astrology is a ‘failure of science’, but it is something that scientists would not approve of. Hence answer C.

Submit
100) All of the following can be inferred from the text except

Explanation

This is an ‘except’ question. Be careful! You are looking for something that cannot be inferred from the text. We can find evidence that the author finds reactions interesting (line 9), and that children have learnt some facts (beginning of the second paragraph), and that he thinks teachers are strict (line 10 and part of paragraph 2). We can also infer from the use of the phrase ‘privileged members’ (line 18) that he believes that not all received secondary education. But we find that he thinks it is hard to learn scientific method- ‘The only way of learning the method of science is the long and bitter way of personal experience". And so we choose E.

Submit
101) According to the author, the work done during the last fifty years of Florence Nightingale's life was, when compared with her work in the Crimea, all of the following except

Explanation

‘Except’ questions need careful checking. Here you are looking for something that cannot be said of Florence Nightingale’s work in the last fifty years of her life. If you re-read from line 11 "What she accomplished in those years of unknown labor could, indeed, hardly have been more glorious than her Crimean triumphs; but it was certainly more important..." you will find evidence that her work was ‘important’, ‘less well-known’, ‘less dramatic’, and also ‘rewarding’ to her. But you will not find evidence that it was ‘less demanding’, in fact it was arduous, and put a strain on her health. Therefore we choose answer B.
This tells us that the schoolmaster has made learning dull. And so we eliminate answers C and E which imply he has done something good.
But to be sure of the answer we should also read the previous sentences. We learn that, "The pioneers of the teaching of science imagined that its introduction into education would remove the conventionality, artificiality, and backward-lookingness which were characteristic of classical studies......" This section tells us that other people tried to alter the nature of education, but the "professional schoolmaster was a match for both of them". He therefore prevented (thwarted) these attempts, and the answer is B.

Submit
102) The 'fulcrum' (line 17) refers to her

Explanation

Re-read lines 11-20. You will see that the ‘fulcrum’ was the ‘stepping stone’ she was to use to advance her aims. This stepping-stone was the reputation she had earned in the Crimea. Hence, answer A.

Submit
103) The primary purpose of paragraph 3 is to

Explanation

The primary purpose of paragraph 3 is to explain what Ms. Nightingale wanted to do and why. Answer C. Note that answer D is too general - it refers to peacetime and wartime conditions but does not state that it is for the army, and so is unacceptable. Answer B is also too general - we are not concerned with hospitals in general, only the army.

Submit
View My Results

Quiz Review Timeline (Updated): Mar 21, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • May 20, 2013
    Quiz Created by
    Danielw9
Cancel
  • All
    All (103)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
The reason that television networks air such trashy programs is...
As a writer, it is surprising to me that so few high school graduates...
Solve for x: 
When one of my seizures strikes, I feel as if I were paralyzed, if...
Alda can complete a test in  .
My uncle, who A was B on vacation, along with my two cousins and I C,...
An operation * is defined as follows: For any two positive numbers x...
If x2y > 0 and xy2 < 0,then which of the...
All the trapped miners began A to lose B hope, it C had been twenty...
Because A they played by B the rules, the members of the team were...
He was expected not merely A  to contribute funds to the project,...
The teacher sat A down besides B the frightened child and tried to...
A jar contains 10 red marbles and 30 green ones. How many red marbles...
What will be the value of x, if 8x+2 = 24x-3?  
A monkey climbs a slippery pole by thrusts. The pole is 30 feet high....
As were many colonial administrators, Gregory was ____ in his...
Although alarmed by the ____ , Professor Symes had no reason to doubt...
The statements made by the husband in the passage reveal:
The wife's approach to obtaining a new dress can best be described...
As he is revealed in the section where he presents the invitation to...
Information in Paragraph 4 reveals that the husband is unhappy about...
It can most reasonably be inferred from the second paragraph that the...
In the passage, a comparison can be made between the wife's and...
Paragraph two paints a picture of a woman who is
The series of questions in paragraphs 2 and 3 are
If 40% of x is equal to 30% of y, what % is x of y?
If p > 0, which of the following is equal to √48p3
The average of 11 numbers is 21 . The average of seven of those...
The question, "And what do you want me to put on my back?"...
The author implies that the 'professional schoolmaster' (line 7) has
Having no more food in her backpack, it was necessary for Maria to...
If x, y and z are three consecutive odd integers such that...
If 4(3x - 3) = 24, what is 5x - 5?
If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is...
It can most reasonably be inferred that the husband 'grew a little...
The author's attitude to his material is
In her statement (lines 53-54) Miss Nightingale intended to
Anna Warren, an accomplished painter whose art has been shown in...
Some psychologists continue to believe that the mind is largely...
The greatest feature of this audio system is it is able to play music...
If I wouldn't have been in such a hurry to get tot the reception,...
The vacation cottage was tiny, dirty, and it was lit with very dim...
Which of the following is equivalent to 6x 2 + x - 12 ?
Although most people shudder when they recall analyzing sentences in...
The coach gave Fernando a few words of encouragement before the game,...
A social welfare organization spends 40% of the funds collected...
Although John Dewey profoundly influenced American philosophy of the...
In the given figure, Note: Figure not drawn to scale.
A hierarchical power structure is not a necessity of modern society,...
A car travels a distance of 250 miles, 700 miles and 325 miles at the...
Completely devoid of artistic merit, the film used shock tactics in an...
By which of the following number is 98765432 exactly divisible?
In a class of 30 students, 14 take tea and 20 take coffee. How many...
We have no choice but A to appoint Mary:B she is the best C of the two...
In the given figure, area of square ABED is 9 square units, BC = 5...
The reason I will A not be going B to Mexico this year is because C I...
If y2 = c, where y and c are integers, which of the...
If you were A to work at least four hours a day on the project, we...
In a store  
The manager tried hard to effect A a change in company policy, but B...
Each month for 6 months the price of a commodity is doubled. At the...
The new library is undoubtedly A well stocked and functional, but B no...
We hope A, we can be B able to complete the building before C the...
You would A have to choose her B, if you are looking for C the best...
In the given figure, EB is perpendicular to FC, and AD and EB...
At what point will 12x2 + 5x + 1 attain the minimum value?
If x and y are multiples of 3, which of the following CANNOT also be a...
Her avaricious A relatives assembled at the lawyer's B office to hear...
How many positive integers less than 80 are equal to the product of a...
Find the equation of the line through (2, 3) perpendicular to 4x -...
None of us A knows B what the outcome of the battle between C the...
A wire bent in the form of a circle of radius 21units is cut and bent...
Neither of my brothers do A anything to make life better for our B...
If a function f(x) is defined by
A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252...
A cube and a rectangular solid are equal in volume. If the lengths of...
Twenty persons, among whom A and B, sit at random around a round...
In the given figure, AB is parallel to CD.
The flowers in a basket become double after every minute. In one hour,...
In the given figure,  
A person had 72 mangoes, he had given them to three persons A, B and...
He was treated like a(n) ____ and cast out from his community.
The teacher accused me of ____ because my essay was so similar to that...
We live in a ____ age; everyone thinks that maximizing pleasure is the...
Thankfully the disease has gone into ____ ; it may not recur for many...
People from all over the world are sent by their doctors to breathe...
Though Adam Bede is presented to us by the author as ____ fiction,...
There is a general ____ in the United States that our ethics are...
Homo sapiens, the proud splitter of the atom, inventor of the...
After centuries of obscurity, this philosopher's thesis is...
The threat of war, far from ____ , lay heavily in the air, and the...
The passage is written from the point of view of:
Which of the following best describes the author's approach to...
The author’s attitude to secondary and public school education in...
The word ‘palpably’ (line 24) most nearly means
The author blames all of the following for the failure to impart...
If the author were to study current education in science to see how ...
Astrology (line 31) is mentioned as an example of
All of the following can be inferred from the text except
According to the author, the work done during the last fifty years of...
The 'fulcrum' (line 17) refers to her
The primary purpose of paragraph 3 is to
Alert!

Advertisement