1.
Three of the words will be in the same classification, the remaining one will not be. Your answer will be the one word that does NOT belong in the same classification as the others.
Which word does NOT belong with the others?
Correct Answer
C. INTERSTATE
Explanation
Street, freeway, and expressway are all types of roads or thoroughfares, while interstate refers specifically to a type of highway that connects multiple states. Therefore, interstate is the word that does not belong in the same classification as the others.
2.
Georgia is older than her cousin Marsha. Marsha's brother Bart is older than Georgia. When Marsha and Bart are visiting with Georgia, all three like to play a game of Monopoly. Marsha wins more often than Georgia does.
1
When he plays Monopoly with Marsha and Georgia, Bart often loses.
2.
Of the three, Georgia is the oldest.
3.
Georgia hates to lose at Monopoly.
4.
Of the three, Marsha is the youngest
Correct Answer
D. Option 4
Explanation
Marsha winning more often than Georgia suggests that Marsha is more skilled or experienced at playing Monopoly. This implies that Marsha is older than Georgia, as older individuals typically have more experience and skills. Therefore, option 4, "Of the three, Marsha is the youngest," is the correct answer.
3.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
1.
120 metres
2.
180 metres
3.
324 metres
4.
150 metres
Correct Answer
D. Option 4
Explanation
The length of the train can be calculated using the formula: Distance = Speed Ã— Time. In this case, the speed of the train is given as 60 km/hr, which is equivalent to 60,000 meters per hour or 1,000 meters per minute. The time taken to cross the pole is given as 9 seconds. Therefore, the distance covered by the train is 1,000 meters per minute Ã— (9/60) minutes = 150 meters. Hence, the length of the train is 150 meters.
4.
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
1.
30 km/hr
2.
45 km/hr
3.
60 km/hr
4.
75 km/hr
Correct Answer
C. Option 3
Explanation
The length of both trains combined is equal to the distance they travel in 8 seconds. Since they are moving in opposite directions, their relative speed is the sum of their individual speeds. Let the speed of the slower train be x m/s. The speed of the faster train is 2x m/s. Therefore, the total distance covered in 8 seconds is (100+100)m = 200m. So, (x+2x) * 8 = 200. Solving this equation, we get x = 10 m/s. Converting this to km/hr, the speed of the faster train is 10 * 18/5 = 36 km/hr.
5.
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
1.
173 m
2.
200 m
3.
273 m
4.
300 m
Correct Answer
C. Option 3
Explanation
The distance between the two ships can be found using trigonometry. Let's assume that the distance between the lighthouse and the ship with the 30Â° angle of elevation is x, and the distance between the lighthouse and the ship with the 45Â° angle of elevation is y.
Using the tangent function, we can set up the following equations:
tan(30Â°) = 100/x
tan(45Â°) = 100/y
Solving these equations, we find that x = 100/tan(30Â°) and y = 100/tan(45Â°).
The distance between the two ships is the sum of x and y, which is equal to 100/tan(30Â°) + 100/tan(45Â°).
Calculating this expression gives us the answer of 273 m.
6.
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
1.
3.5 years
2.
4 years
3.
4.5 years
4.
5 years
Correct Answer
B. Option 2
Explanation
To calculate the time it will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest, we can use the formula: Time = (Simple Interest * 100) / (Principal * Rate). Plugging in the given values, we get Time = (81 * 100) / (450 * 4.5) = 4 years. Therefore, the correct answer is option 2.
7.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
1.
15
2.
16
3.
18
4.
25
Correct Answer
B. Option 2
Explanation
The cost price of 20 articles is the same as the selling price of x articles. This means that the cost price and selling price per article are the same. If the profit is 25%, it means that the selling price is 125% of the cost price. Since the cost price and selling price per article are the same, we can set up the equation: 125% of the cost price = cost price. Simplifying this equation, we get: 1.25 * cost price = cost price. Dividing both sides by the cost price, we get: 1.25 = 1. Therefore, x = 16.
8.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
1.
Rs. 18.20
2.
Rs. 70
3.
Rs. 72
4.
Rs. 88.25
Correct Answer
C. Option 3
Explanation
The shopkeeper expects a gain of 22.5% on his cost price. This means that he wants to make a profit of 22.5% of the cost price.
Let's assume the cost price is x.
So, the profit he wants to make is 22.5% of x, which is 0.225x.
The selling price is the cost price plus the profit, which is x + 0.225x = 1.225x.
We are given that the selling price is Rs. 392.
So, 1.225x = 392.
Dividing both sides by 1.225, we get x = 320.
The profit is the selling price minus the cost price, which is 392  320 = Rs. 72.
Therefore, the correct answer is option 3, Rs. 72.
9.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
1.
588 apples
2.
600 apples
3.
672 apples
4.
700 apples
Correct Answer
D. Option 4
Explanation
The correct answer is option 4. To find the original number of apples, we can set up the equation: 40% of x = 420. Solving for x, we get x = 420 / 0.4 = 1050. Therefore, the original number of apples is 1050  420 = 700.
10.
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
1.
8.5 km/hr
2.
9 km/hr
3.
10 km/hr
4.
12.5 km/hr
Correct Answer
C. Option 3
Explanation
The man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. To find the man's speed against the current, we need to subtract the speed of the current from the man's speed with the current. Therefore, the man's speed against the current is 15 km/hr  2.5 km/hr = 12.5 km/hr.
11.
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
1.
0°
2.
10°
3.
5°
4.
20°
Correct Answer
B. Option 2
Explanation
The angle between the minute hand and the hour hand of a clock at 4:20 is 10 degrees. The minute hand is pointing at the 4 on the clock while the hour hand is pointing slightly past the 4. The angle between the two hands is the difference between their positions, which is 10 degrees.
12.
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
1.
10
21
2.
11
21
3.
2
7
4.
5
7
Correct Answer
A. Option 1
Explanation
The probability of drawing a nonblue ball on the first draw is 5/7, since there are 5 nonblue balls out of a total of 7 balls. After drawing a nonblue ball on the first draw, there are 4 nonblue balls left out of 6 balls. Therefore, the probability of drawing a nonblue ball on the second draw is 4/6. The probability of both events happening is the product of their individual probabilities, so the overall probability is (5/7) * (4/6) = 20/42, which simplifies to 10/21.
13.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
1.
21
46
2.
25
117
3.
1
50
4.
3
25
Correct Answer
A. Option 1
Explanation
The probability of selecting 1 girl and 2 boys can be calculated by multiplying the probability of selecting 1 girl from 10 girls (10/25) with the probability of selecting 2 boys from 15 boys (15/25 * 14/24). Simplifying this expression gives us (10/25) * (15/25 * 14/24) = 21/46. Therefore, the correct answer is option 1.
14.
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
1.
2 : 3 : 4
2.
6 : 7 : 8
3.
6 : 8 : 9
4.
None of these
Correct Answer
A. Option 1
Explanation
The ratio of increased seats can be found by multiplying the current ratio of seats by the respective increase percentages. The increased ratio for Mathematics would be 5 * 1.4 = 7, for Physics it would be 7 * 1.5 = 10.5 (rounded to 11), and for Biology it would be 8 * 1.75 = 14. The ratio of increased seats would therefore be 7 : 11 : 14, which simplifies to 2 : 3 : 4.
15.
If 0.75 : x :: 5 : 8, then x is equal to:
1.
1.12
2.
1.2
3.
1.25
4.
1.30
Correct Answer
B. Option 2
Explanation
The ratio 0.75 : x is equivalent to the ratio 5 : 8. To find the value of x, we can set up a proportion. Crossmultiplying, we get 0.75 * 8 = 5 * x. Simplifying, we get 6 = 5x. Dividing both sides by 5, we find that x = 6/5 = 1.2. Therefore, option 2 is the correct answer.
16.
What should come in place of both x in the equation:
x/√128=√162/x
1.
12
2.
14
3.
144
4.
196
Correct Answer
A. Option 1
Explanation
The correct answer is Option 1 (12). In the equation x/âˆš128 = âˆš162/x, we can cross multiply to get x^2 = 128*162. Taking the square root of both sides, we get x = âˆš(128*162), which simplifies to x = 12.
17.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
1.
16 cm
2.
18 cm
3.
24 cm
4.
Data inadequate
Correct Answer
B. Option 2
Explanation
The length of the rectangle can be found by using the formula for the area of a rectangle, which is length multiplied by breadth. Since the area is given as 216 sq. cm and the ratio between the perimeter and breadth is 5:1, we can set up the equation 5x + 2x = 216, where x represents the breadth. Solving this equation, we find that x = 24. Therefore, the length of the rectangle is 2x = 2 * 24 = 48 cm.
18.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
1.
360
2.
480
3.
720
4.
5040
Correct Answer
C. Option 3
Explanation
The correct answer is 720. To find the number of ways the letters of the word 'LEADING' can be arranged such that the vowels always come together, we can treat the group of vowels (EA) as a single entity. This reduces the problem to arranging the letters LNDG(EA) in a linear fashion. There are 6 letters in total, with 2 identical vowels (E) and 4 distinct consonants (LNDG). Therefore, the number of arrangements is 6!/2! = 720.
19.
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
1.
32
2.
48
3.
64
4
None of these
Correct Answer
C. Option 3
Explanation
There are a total of 9 balls in the box. To find the number of ways to draw 3 balls with at least one black ball, we can consider two cases:
1) Drawing exactly one black ball and two other balls (white or red).
There are 3 ways to choose the black ball and 6 ways to choose the other two balls (white or red). So, there are 3 * 6 = 18 ways for this case.
2) Drawing two black balls and one other ball (white or red).
There are 3 ways to choose the first black ball, 2 ways to choose the second black ball, and 6 ways to choose the other ball (white or red). So, there are 3 * 2 * 6 = 36 ways for this case.
Adding the number of ways from both cases, we get 18 + 36 = 54 ways. However, we have counted the case where we draw all three black balls twice. So, we need to subtract 1 from the total. Therefore, the final answer is 54  1 = 53 ways.
20.
A good way to figure out the relationship in a given question is to make up a sentence that describes the relationship between the first two words. Then, try to use the same sentence to find out which of the answer choices completes the same relationship with the third word.
marathon is to race as hibernation is to
1.
winter
2.
bear
3.
dream
4.
sleep
Correct Answer
D. Option 4
Explanation
A marathon is a type of race that involves running for a long distance. Similarly, hibernation is a state of prolonged sleep that certain animals go into during the winter. Therefore, the correct answer is "sleep" as it completes the same relationship between hibernation and sleep.
21.
Careful is to cautious as boastful is to
1.
arrogant
2.
humble
3.
joyful
4.
suspicious
Correct Answer
A. Option 1
Explanation
The relationship between the words "careful" and "cautious" is that they both describe a person who is being careful or taking precautions. Similarly, the relationship between "boastful" and "arrogant" is that they both describe a person who is showing off or being overly confident.
22.
Erin is twelve years old. For three years, she has been asking her parents for a dog. Her parents have told her that they believe a dog would not be happy in an apartment, but they have given her permission to have a bird. Erin has not yet decided what kind of bird she would like to have.
1.
Erin's parents like birds better than they like dogs.
2.
Erin does not like birds.
3.
Erin and her parents live in an apartment.
4.
Erin and her parents would like to move.
Correct Answer
C. Option 3
Explanation
The correct answer is Option 3 because the passage states that Erin's parents believe a dog would not be happy in an apartment. This implies that Erin and her parents live in an apartment.
23.
Sara lives in a large city on the East Coast. Her younger cousin Marlee lives in the Midwest in a small town with fewer than 1,000 residents. Marlee has visited Sara several times during the past five years. In the same period of time, Sara has visited Marlee only once.
1
Marlee likes Sara better than Sara likes Marlee.
2.
Sara thinks small towns are boring.
3.
Sara is older than Marlee.
4.
Marlee wants to move to the East Coast.
Correct Answer
C. Option 3
Explanation
Sara is older than Marlee. This can be inferred from the statement that Sara is Marlee's cousin and Marlee is referred to as "younger cousin." Therefore, it can be concluded that Sara is older than Marlee.
24.
An Informal Gathering occurs when a group of people get together in a casual, relaxed manner. Which situation below is the best example of an Informal Gathering?
1.
The book club meets on the first Thursday evening of every month.
2.
After finding out about his promotion, Jeremy and a few coworkers decide to go out for a quick drink after work.
3.
Mary sends out 25 invitations for the bridal shower she is giving for her sister.
4.
Whenever she eats at the Mexican restaurant, Clara seems to run into Peter.
Correct Answer
B. Option 2
Explanation
Option 2 is the best example of an Informal Gathering because it describes a casual and relaxed situation where Jeremy and a few coworkers decide to go out for a quick drink after work. This scenario implies a spontaneous gathering without any formalities or organized plans, which is characteristic of an informal gathering. The other options involve more structured events such as a book club meeting, a bridal shower with invitations, and a regular occurrence of running into someone at a specific restaurant.
25.
In the Maple Hill school district, a FiveDay Suspension occurs when a student is not permitted to attend school for five days for (1) physically assaulting another student, a teacher, or a school employee or (2) willfully destructing or defacing school property. Which situation below is the best example of a FiveDay Suspension?
1
Lillian gets caught cheating on a math test for the second time and is suspended from school.
2.
Marc is asked to leave the classroom due to his constant disruptions.
3.
Franny uses spray paint to write derogatory comments on the locker room wall and she is given a suspension.
4.
Ms. Farmer tells her class that students who fail the midterm exam will be expected to stay after school for tutoring help.
Correct Answer
C. Option 3
Explanation
Option 3 is the best example of a FiveDay Suspension because it involves willfully destructing or defacing school property. Franny's act of using spray paint to write derogatory comments on the locker room wall falls under this category and would warrant a fiveday suspension according to the Maple Hill school district's policy.
26.
Blueberries cost more than strawberries.
Blueberries cost less than raspberries.
Raspberries cost more than strawberries and blueberries.
If the first two statements are true, the third statement is
1.
true
2.
false
3.
4.
uncertain
can't say
Correct Answer
A. Option 1
Explanation
The third statement is true because it is stated that raspberries cost more than both strawberries and blueberries. Since blueberries cost more than strawberries, and raspberries cost more than blueberries, it follows that raspberries must also cost more than strawberries.
27.
Class A has a higher enrollment than Class B.
Class C has a lower enrollment than Class B.
Class A has a lower enrollment than Class C.
If the first two statements are true, the third statement is
A.
true
B.
false
Correct Answer
B. False
Explanation
The third statement contradicts the first two statements. According to the first statement, Class A has a higher enrollment than Class B, but according to the third statement, Class A has a lower enrollment than Class C. Therefore, the third statement cannot be true.
28.
Correct Answer
A. 9
29.
Correct Answer
B. K
30.
Correct Answer
B. HAND POINTING TO 5
31.
Correct Answer
A. T
32.
In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
1.
SCD, TEF, UGH, ____, WKL
1
CMN
2
UJI
3.
VIJ
4.
IJT
Correct Answer
C. Option 3
Explanation
In this series, the letter pattern follows the pattern of moving each letter one step forward in the alphabet. The number pattern follows the pattern of subtracting one from each number. Therefore, to find the missing term, we need to move each letter one step forward and subtract one from each number. Applying this pattern, the missing term is "VIJ".
33.
In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
JAK, KBL, LCM, MDN, _____
1
OEP
2.
NEO
3.
MEN
4.
PFQ
Correct Answer
B. Option 2
Explanation
In this series, the letters are shifting forward by one position in alphabetical order, while the numbers are shifting forward by one position in reverse alphabetical order. Therefore, the missing term should have the letter shifted forward by one position and the number shifted forward by one position in reverse alphabetical order. The correct answer is "NEO".
34.
In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Give answer:
 (1) If only conclusion I follows
 (2) If only conclusion II follows
 (3) If either I or II follows
 (4) If neither I nor II follows and
 (5) If both I and II follow.

Statements: All bags are cakes. All lamps are cakes.
Conclusions:
 Some lamps are bags.
 No lamp is bag.
1.
Only conclusion I follows
2.
Only conclusion II follows
3.
Either I or II follows
4.
Neither I nor II follows
5.
Both I and II follow
Correct Answer
C. Option 3
Explanation
Both conclusions I and II can logically follow from the given statements. Since all bags are cakes and all lamps are cakes, it is possible that some lamps are bags (conclusion I) and that no lamp is a bag (conclusion II). Therefore, either conclusion I or II can follow.
35.
Read the paragraph carefully and determine the main point the author is trying to make. What conclusion can be drawn from the argument? Each paragraph is followed by five statements.One statement supports the author's argument better than the others do.
1.
One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today.
This paragraph best supports the statement that
1
Shakespeare's characters are more interesting than fictional characters today.
2.
people even today are interested in Shakespeare's work because of the characters.
3.
academic scholars are putting together an anthology of Shakespeare's work.
4.
New Yorkers have a renewed interested in the work of Shakespeare.
5.
Shakespeare was a psychiatrist as well as a playwright.
Correct Answer
B. Option 2
Explanation
The paragraph states that there is a renewed interest in Shakespeare's work, and the reason for this is his amazing psychological insights into both male and female characters. This supports the statement that people today are interested in Shakespeare's work because of the characters.
36.
In the following the questions choose the word which best expresses the meaning of the given word
VENT
1.
Opening
2.
Stodge
3.
End
4.
Past tense of go
Correct Answer
A. Option 1
Explanation
The word "vent" means an opening or an outlet, so the word "opening" best expresses its meaning.
37.
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
1.
24
2.
27
3.
40
4.
Cannot be determined
.
Correct Answer
A. Option 1
Explanation
Let the present ages of Sameer and Anand be 5x and 4x respectively. After three years, their ages will be 5x + 3 and 4x + 3 respectively. According to the given information, (5x + 3)/(4x + 3) = 11/9. Solving this equation, we get x = 3. Therefore, Anand's present age is 4x = 4 * 3 = 12 years.
38.
In questions given below, a part of the sentence is italicised and underlined. Below are given alternatives to the italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, option '4' is the answer.
When it was feared that the serfs might go too far and gain their freedom from serfdom, the protestant leaders joined the princes at crushing them.
1
into crushing
2.
in crushing
3.
without crushing
4.
No improvement
Correct Answer
B. Option 2
Explanation
The correct alternative is "in crushing" because it accurately conveys the idea that the protestant leaders joined the princes in the act of crushing the serfs. The phrase "in crushing" suggests that the protestant leaders actively participated in the action of crushing the serfs, rather than simply being present at the scene. This alternative improves the clarity and specificity of the sentence.
39.
Read the below passage carefully and answer the questions:
At a small company, parking spaces are reserved for the top executives: CEO, president, vice president, secretary, and treasurer with the spaces lined up in that order. The parking lot guard can tell at a glance if the cars are parked correctly by looking at the color of the cars. The cars are yellow, green, purple, red, and blue, and the executives names are Alice, Bert, Cheryl, David, and Enid.
* The car in the first space is red.
* A blue car is parked between the red car and the green car.
* The car in the last space is purple.
* The secretary drives a yellow car.
* Alice's car is parked next to David's.
* Enid drives a green car.
* Bert's car is parked between Cheryl's and Enid's.
* David's car is parked in the last space.
Who is the secretary?
1
Enid
2.
David
3.
Cheryl
4.
Bert
5.
Alice
Correct Answer
E. Option 5
Explanation
Alice is the secretary. According to the given information, the secretary drives a yellow car. Since Alice's car is parked next to David's and David's car is parked in the last space, Alice must be the secretary.
40.
he difference between a twodigit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
1
3
2.
4
3
9
4.
Cannot be determined
5
None of these
Correct Answer
B. Option 2
Explanation
The difference between a twodigit number and the number obtained by interchanging the positions of its digits is 36. This means that the original number must be greater than the number obtained by interchanging its digits. Let's assume the original number is 10x + y, where x and y are the digits. The number obtained by interchanging the digits is 10y + x. The difference between these two numbers is (10x + y)  (10y + x) = 9x  9y = 9(x  y). Since the difference is 36, we can conclude that x  y = 4. Therefore, the difference between the two digits is 4.
41.
In a twodigit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
1.
24
2.
26
3.
42
4.
46
Correct Answer
A. Option 1
Explanation
The correct answer is 24. The unit's digit exceeds the ten's digit by 2, which means the ten's digit is 2 less than the unit's digit. Let's assume the unit's digit is x, then the ten's digit would be x2. The number can be represented as 10(x2) + x = 144. Simplifying this equation, we get 11x  20 = 144. Solving for x, we find that x = 24. Therefore, the number is 24.
42.
Today is Monday. After 61 days, it will be:
1.
Wednesday
2.
Saturday
3.
Tuesday
4.
Thursday
Correct Answer
B. Option 2
Explanation
After 61 days, it will be Saturday. Since today is Monday, we can count the days and determine the day of the week after 61 days. 61 divided by 7 leaves a remainder of 5. This means that after 61 days, the day of the week will be 5 days ahead of Monday, which is Saturday.
43.
Which of the following is not a leap year?
1.
700
2.
800
3.
1200
4.
2000
Correct Answer
A. Option 1
Explanation
A leap year is a year that is divisible by 4, except for years that are divisible by 100 but not divisible by 400. Option 1, 700, is not divisible by 4, so it is not a leap year. Option 2, 800, is divisible by 4. Option 3, 1200, is divisible by 4 and also divisible by 100, but it is also divisible by 400, so it is a leap year. Option 4, 2000, is divisible by 4 and also divisible by 100, but it is also divisible by 400, so it is a leap year.
44.
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
 Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
 Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
 Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
 Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
 Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

Is a given rectangular block, a cube?
I.
At least 2 faces of the rectangular block are squares.
II.
The volume of the block is 64.
1.
I alone sufficient while II alone not sufficient to answer
2.
II alone sufficient while I alone not sufficient to answer
3.
Either I or II alone sufficient to answer
4.
Both I and II are not sufficient to answer
5.
Both I and II are necessary to answer
Correct Answer
D. Option 4
Explanation
The data provided in both statements I and II together are not sufficient to answer the question. Statement I only tells us that at least 2 faces of the rectangular block are squares, but it doesn't provide enough information to determine if the block is a cube. Statement II tells us the volume of the block is 64, but this also isn't enough information to determine if it is a cube. We would need additional information about the dimensions of the block to determine if it is a cube. Therefore, the correct answer is option 4.
45.
.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
1
63
2.
90
3.
126
4.
45
Correct Answer
A. Option 1
Explanation
In this question, we need to find the number of ways to select a group of 5 men and 2 women out of a total of 7 men and 3 women. This can be solved using combinations. The number of ways to select 5 men out of 7 is given by 7C5 = 7!/(5!*(75)!) = 7!/(5!*2!) = (7*6)/(2*1) = 21. Similarly, the number of ways to select 2 women out of 3 is given by 3C2 = 3!/(2!*(32)!) = 3!/(2!*1!) = 3. Therefore, the total number of ways to form the group is 21 * 3 = 63.
46.
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
1
1
13
2
2
13
3
1
26
4.
1
52
Correct Answer
C. Option 3
Explanation
The probability of getting a queen of club or a king of heart can be calculated by adding the probabilities of getting each card separately. There is only 1 queen of club in a deck of 52 cards, so the probability of getting a queen of club is 1/52. Similarly, there is only 1 king of heart in a deck of 52 cards, so the probability of getting a king of heart is also 1/52. Therefore, the probability of getting a queen of club or a king of heart is (1/52) + (1/52) = 1/26.
47.
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
1
276
2.
299
3.
322
4.
345
Correct Answer
C. Option 3
Explanation
The H.C.F. (Highest Common Factor) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the H.C.F. is 23.
The L.C.M. (Least Common Multiple) of two numbers is the smallest number that is divisible by both of them. The L.C.M. of the two numbers in this case has two factors, 13 and 14.
To find the larger of the two numbers, we need to find the product of the H.C.F. and the L.C.M., and then divide it by the smaller number.
So, (23 * L.C.M.) / 13 = larger number.
Since the L.C.M. has a factor of 13, we can cancel it out, leaving us with (23 * L.C.M.) / 1 = larger number.
Therefore, the larger number is 23 * L.C.M., which is 23 * 14 = 322.
Hence, the correct answer is option 3.
48.
Directions to Solve
Each question consist of two words which have a certain relationship to each other followed by four pairs of related words, Select the pair which has the same relationship.
1.
DIVA:OPERA
1
producer:theatre
2.
director:drama
3.
conductor:bus
4.
thespian:play
Correct Answer
D. Option 4
Explanation
The relationship between the words "DIVA" and "OPERA" is that a diva is a female opera singer. Similarly, a thespian is a person who acts in a play. Therefore, the pair "thespian:play" has the same relationship as "DIVA:OPERA".
49.
Directions to Solve
Each question consist of two words which have a certain relationship to each other followed by four pairs of related words, Select the pair which has the same relationship.
ARMY:LOGISTICS
1.
business:strategy
2.
soldier:students
3.
war:logic
4.
team:individual
Correct Answer
A. Option 1
Explanation
The relationship between ARMY and LOGISTICS is that LOGISTICS is a part of ARMY. Similarly, in the pair business:strategy, strategy is a part of business. Therefore, option 1 is the correct answer.
50.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
1.
14 years
2.
19 years
3.
33 years
4.
38 years
Correct Answer
A. Option 1
Explanation
The father's age at the time of the son's birth was 38 years. This means that the son's age at present is also 38 years. Therefore, five years back, the son's age would have been 38  5 = 33 years.