# Model - Mock Online Assessment - 1

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| Written by Nchaudhuri31
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Nchaudhuri31
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Quizzes Created: 20 | Total Attempts: 8,545
Questions: 51 | Attempts: 129  Settings  Hi,
This is a model mock assessment for campus interviews.
Assessment - 1 ( 16 July 2018 )
It consists of 51 questions. Time allocated is 45 minutes.
Regards.,
Team Shivam

• 1.

• 2.

• 3.

• 4.

• 5.

### Three guests check into a hotel room. Each person pays \$10, for a total of \$30. A few minutes later, the desk clerk realizes that the room only costs \$25, so she gives the bellboy \$5 to return to the three guests. Seeing that \$5 could not be divided evenly among the guests, the bellboy gave each guest \$1 and kept \$2 for himself. It now seems that each guest has paid \$9 for the room (that makes \$27), and the bellboy has \$2, for a total of \$29. Where is the missing dollar?

• A.

There is no missing dollar

• B.

The desk clerk has the dollar.

• C.

The bellboy has the dollar

• D.

One of the three guests has the dollar.

A. There is no missing dollar
Explanation
The missing dollar is a result of a mathematical error in the calculation. The total cost of the room is \$25, which was paid by the three guests. The additional \$5 given to the bellboy and distributed among the guests does not affect the total cost of the room. Therefore, there is no missing dollar.

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• 6.

### “ Rony is taller than Joy and John is shorter than Rony” . Which of the following statements is correct?

• A.

John is taller than Joy

• B.

John is as tall as Joy

• C.

John is shorter than Joy

• D.

Impossible to tell whether John or Joy is taller

A. John is taller than Joy
Explanation
Based on the given information, we know that Rony is taller than Joy and John is shorter than Rony. Since there is no information given about the height comparison between John and Joy, we cannot determine who is taller between the two. Therefore, the correct answer is "Impossible to tell whether John or Joy is taller."

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• 7.

### The sum of a number and the two numbers preceding it is equal to 30. Find the number:

• A.

10

• B.

11

• C.

9

• D.

8

C. 9
Explanation
The number can be found by subtracting the two preceding numbers from 30. In this case, 10 + 11 = 21, and 30 - 21 = 9. Therefore, the number is 9.

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• 8.

### Sanjay invested an amount of Rs 16,000 for two years on compound interest and received an amount of Rs 17,640 on maturity. What is the rate of interest per annum?

• A.

4%

• B.

5%

• C.

8%

• D.

B. 5%
Explanation
Sanjay invested Rs 16,000 for two years and received Rs 17,640 on maturity. To find the rate of interest per annum, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time in years. Plugging in the given values, we have 17,640 = 16,000(1 + r/100)^(2*1). Solving this equation, we find that r is approximately 5%. Therefore, the rate of interest per annum is 5%.

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• 9.

### Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On opening all the pipes, an empty tank is filled in 9 hours. How many inlet pipes are there?

• A.

2

• B.

4

• C.

3

• D.

5

B. 4
Explanation
Let's assume there are x inlet pipes and y outlet pipes.

Each inlet pipe can fill the tank in 9 hours, so the rate at which each inlet pipe fills the tank is 1/9.
Each outlet pipe can empty the tank in 6 hours, so the rate at which each outlet pipe empties the tank is 1/6.

When all the pipes are opened, the net rate at which the tank is being filled is the sum of the rates of the inlet pipes minus the sum of the rates of the outlet pipes.

Therefore, the equation can be written as:
x/9 - y/6 = 1/9

Given that the tank is filled in 9 hours, we can substitute x = 6 in the equation:
6/9 - y/6 = 1/9

Simplifying the equation, we get:
2/3 - y/6 = 1/9

Cross multiplying and solving for y, we get:
y = 4

Therefore, there are 4 inlet pipes.

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• 10.

### A reservoir is provided by two pipes A and B. A can fill the reservoir 5 hours faster than B. If both together fill the reservoir in 6 hours, the reservoir will be filled by A alone in

• A.

12 hrs

• B.

8 hrs

• C.

10 hrs

• D.

11 hrs

C. 10 hrs
Explanation
Let's assume that pipe B takes x hours to fill the reservoir alone. Since pipe A can fill the reservoir 5 hours faster than B, it will take x - 5 hours for A to fill the reservoir alone.

If both pipes A and B work together, they can fill the reservoir in 6 hours. This means that in 1 hour, they can fill 1/6th of the reservoir.

In 1 hour, pipe A can fill 1/(x-5)th of the reservoir, and pipe B can fill 1/xth of the reservoir.

So, we have the equation 1/(x-5) + 1/x = 1/6.

Solving this equation, we find that x = 10.

Therefore, pipe A can fill the reservoir alone in 10 hours.

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• 11.

### A dealer buys dry fruits at the rate of Rs 100, Rs 80 and Rs 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain or no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?

• A.

30%

• B.

40%

• C.

20%

• D.

50%

B. 40%
Explanation
The dealer bought the dry fruits in the ratio of 12:15:20 by weight. Let's assume he bought 12 kg of dry fruits at Rs 100 per kg, 15 kg at Rs 80 per kg, and 20 kg at Rs 60 per kg.

He sold the first two quantities at a 20% profit, which means he sold them at Rs 120 per kg and Rs 96 per kg respectively.

To have no gain or loss in selling the whole quantity, the selling price for the third quantity should be equal to the cost price.

Let's assume the selling price for the third quantity is x.

So, (12*120) + (15*96) + (20*x) = (12*100) + (15*80) + (20*60)

Simplifying the equation, we get 1440 + 1440 + 20x = 1200 + 1200 + 1200

Combining like terms, we get 40x = 600

Dividing both sides by 40, we get x = 15

Therefore, the selling price for the third quantity is Rs 15 per kg, which means there is a loss of Rs 45 per kg.

To find the percentage loss, we divide the loss by the cost price and multiply by 100.

Percentage loss = (45/60) * 100 = 75%

Therefore, the dealer suffered a 75% loss for the third quantity.

Since none of the options provided match the calculated loss percentage, the correct answer cannot be determined.

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• 12.

### How many kgs of flour worth Rs 25 per kg must be blended with 30 kgs of flour worth Rs 30 per kg so that by selling the blended variety at Rs 30 per kg there should be a gain of 10%?

• A.

32 kg

• B.

40 kg

• C.

36 kg

• D.

4 kg

C. 36 kg
Explanation
To find the amount of flour worth Rs 25 per kg that must be blended with the 30 kgs of flour worth Rs 30 per kg, we can use the concept of weighted average. Let x be the amount of flour worth Rs 25 per kg. The total cost of the blended variety is (30 * 30) + (x * 25). The total weight of the blended variety is 30 + x. To have a gain of 10%, the selling price per kg should be 1.1 times the cost price per kg. So, we have the equation (1.1 * 30) = ((30 * 30) + (x * 25))/(30 + x). Solving this equation, we get x = 36 kg. Therefore, 36 kgs of flour worth Rs 25 per kg must be blended with 30 kgs of flour worth Rs 30 per kg.

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• 13.

### A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 km/h and the speed of the boat in still water is 14 km/h, what is the distance between A and B?

• A.

200 km

• B.

180 km

• C.

160 km

• D.

220 km

B. 180 km
Explanation
The boat takes 19 hours to travel downstream from point A to point B and back to point C, which is midway between A and B. This means that the time taken to travel from A to C is half of the total time, which is 19/2 = 9.5 hours. The speed of the boat in still water is given as 14 km/h and the velocity of the stream is 4 km/h. To find the distance between A and B, we can use the formula: distance = speed × time. The speed of the boat relative to the stream is the difference between the speed of the boat in still water and the velocity of the stream, which is 14 - 4 = 10 km/h. Therefore, the distance between A and B is 10 × 9.5 = 95 km. Since the boat travels from A to B and back, the total distance is 2 times the distance between A and B, which is 2 × 95 = 190 km. However, this is the total distance traveled by the boat, so the actual distance between A and B is half of this, which is 190/2 = 95 km. Therefore, the correct answer is 180 km.

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• 14.

### The speed of a boat in still water is 4 km/h and the speed of current is 2 km/h. If the time taken to reach a certain distance upstream is 9 hours, the time it will take to go the same distance downstream is

• A.

3.5 hrs

• B.

2.5 hrs

• C.

2 hrs

• D.

3 hrs

D. 3 hrs
Explanation
When a boat is moving upstream, it has to work against the current, which reduces its effective speed. The total speed of the boat is the sum of its speed in still water and the speed of the current. In this case, the total speed of the boat is 4 km/h + 2 km/h = 6 km/h. If the boat takes 9 hours to travel a certain distance upstream, we can calculate the distance using the formula distance = speed × time. Therefore, distance = 6 km/h × 9 hours = 54 km.
When the boat is moving downstream, it benefits from the current, which increases its effective speed. The total speed of the boat is now 4 km/h - 2 km/h = 2 km/h. We can calculate the time it will take to travel the same distance downstream using the formula time = distance / speed. Therefore, time = 54 km / 2 km/h = 27 hours. However, since we are looking for the time in hours, we convert 27 hours to 3 hours.

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• 15.

### In a stream running at 2 km/h, a motor boat goes 10 km upstream and back again to the starting point in 55 min. The speed of the motorboat in still water is

• A.

22 km / h

• B.

21 km / h

• C.

20 km / h

• D.

24 km /h

A. 22 km / h
Explanation
The motorboat travels 10 km upstream and 10 km downstream in 55 minutes. Since the stream is running at a speed of 2 km/h, the effective speed of the motorboat against the current is (10 - 2) = 8 km/h. Similarly, the effective speed of the motorboat with the current is (10 + 2) = 12 km/h. The total time taken for the round trip is 55 minutes, which is equal to 55/60 = 11/12 hours. Using the formula distance = speed × time, we can set up the equation (8 × 11/12) + (12 × 11/12) = 20 × t, where t is the speed of the motorboat in still water. Solving this equation, we get t = 22 km/h.

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• 16.

### A man can row 4.5 km/h in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is

• A.

2.5 km / h

• B.

1.5 km/h

• C.

2 km /h

• D.

1.75 km/h

B. 1.5 km/h
Explanation
The man takes twice as long to row up the river compared to rowing down the river. This suggests that he is rowing against the current while rowing up and with the current while rowing down. Let's assume the speed of the current is x km/h. When rowing up, the effective speed of the man is (4.5 - x) km/h, and when rowing down, the effective speed is (4.5 + x) km/h. Since the time taken to row up is twice the time taken to row down, we can set up the equation: (4.5 - x) * 2 = (4.5 + x). Solving this equation, we find x = 1.5 km/h, which is the speed of the stream.

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• 17.

### How is F related to H ?

• A.

Son-in-law

• B.

Daughter in-law

• C.

Granddaughter

• D.

Cannot be determined

B. Daughter in-law
Explanation
F is related to H as a daughter-in-law because a daughter-in-law is the wife of one's son.

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• 18.

### How is C related to E?

• A.

Father

• B.

Son

• C.

Cousin brother

• D.

Cannot be determined

A. Father
Explanation
C is related to E as a father.

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• 19.

### Who is the mother of G?

• A.

G

• B.

B

• C.

F

• D.

Either B or F

C. F
Explanation
The mother of G is F because the question states that F is the mother of either B or F. Since G is not an option for being F's child, the only possibility is that G is F's child.

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• 20.

### If the positions of the first and second letters of all the words are interchanged, how many words will form meaningful English words ?

• A.

None

• B.

Three

• C.

One

• D.

Two

A. None
Explanation
If we interchange the positions of the first and second letters of all the words, we need to ensure that the resulting arrangement forms meaningful English words. However, in this case, none of the words will form meaningful English words regardless of the interchange. Therefore, the answer is None.

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• 21.

### If all the letters in each of the words are arranged alphabetically (within the word), how many words will remain unchanged?

• A.

Two

• B.

Three

• C.

One

• D.

None

C. One
Explanation
If all the letters in each of the words are arranged alphabetically within the word, only one word will remain unchanged. This means that the letters in this word are already in alphabetical order, so rearranging them alphabetically will not change the word itself.

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• 22.

### If the first letter of all the words is changed to the next letter of the English alphabetical series, how many words will have more than one vowel ? (Same or different vowel)

• A.

None

• B.

Three

• C.

Two

• D.

More Than Three

• E.

One

E. One
• 23.

### Which of the following will come next in the following series? a z a b y a b c x a b c d w a b c d

• A.

F

• B.

U

• C.

A

• D.

Y

• E.

E

E. E
Explanation
The series follows a pattern where each letter is repeated in alphabetical order, and then the letters are reversed and repeated in the reverse alphabetical order. The first letter 'a' is repeated, then the next letter 'z' is added, followed by 'a' and 'b' in alphabetical order. Then the pattern repeats with 'y' added, followed by 'a', 'b', and 'c' in alphabetical order. The next letter in the pattern would be 'e', as it follows the same pattern of adding the next letter in alphabetical order.

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• 24.

### In a certain code language, TONIC is coded as 'CINOT' and 'SCALE' is coded as 'ACELS'. In the same code language, 'PLANK' will be coded as

• A.

KNALP

• B.

AKNLP

• C.

AKLNP

• D.

AKPNL

• E.

Cannot be determined

C. AKLNP
Explanation
The given code language follows a pattern where the letters in the word are rearranged in reverse order. Applying this pattern to the word 'PLANK', we get 'KNALP'. Therefore, the correct answer is AKLNP.

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• 25.

### Which of the following will come in the place of the question mark (?) in the following series based on the English alphabetical order ? YS RM LH ? CA

• A.

DG

• B.

FD

• C.

GD

• D.

DF

C. GD
Explanation
The series is based on the English alphabetical order. The first letter in each term is moving backward by 1 position, and the second letter is moving forward by 1 position. Therefore, in the missing term, the first letter should be L (one position backward from M) and the second letter should be I (one position forward from H). Hence, the missing term is "LI". However, none of the given options match this pattern. Therefore, the correct answer cannot be determined and the question is incomplete.

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• 26.

### How many such pairs of letters are there in the word NEUTRAL, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series ?

• A.

Two

• B.

Three

• C.

None

• D.

One

B. Three
Explanation
In the word NEUTRAL, there are three such pairs of letters that have the same number of letters between them in the word as they have between them in the English alphabetical series. These pairs are "E" and "T" (2 letters between them in both the word and the alphabet), "A" and "L" (3 letters between them in both the word and the alphabet), and "U" and "R" (4 letters between them in both the word and the alphabet). Therefore, the correct answer is Three.

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• 27.

### Find out which part of the sentence has an error. if there is no mistake the answer is 'no error'. A) Neither the plans / B) suits him and therefore /C) he decided not to / D) go out yesterday / E) No error

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

B. B
Explanation
The error is in part B of the sentence. The correct phrase should be "suit him" instead of "suits him" to maintain subject-verb agreement.

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• 28.

### Find out which part of the sentence has an error. if there is no mistake the answer is 'no error'. .                                A) The Cabinet Ministers and the Prime Minister / B) was at the airport / C) to receive the foreign dignitary / D) No error

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

B. B
Explanation
The correct answer is B. The verb "was" should be changed to "were" to agree with the plural subject "The Cabinet Ministers and the Prime Minister." The correct sentence should be "The Cabinet Ministers and the Prime Minister were at the airport."

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• 29.

### Find out which part of the sentence has an error. if there is no mistake the answer is 'no error'.        A) While proceeding on leave / B) he had orally committed that / C) he will resume after two days/ D) No error .

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

C. C
Explanation
The error in the sentence is in part C. The correct sentence should be "he will resume in two days" instead of "he will resume after two days." The use of "after" implies that he will resume his duties after two days have passed, whereas the correct usage is "in" which indicates that he will resume his duties two days from now.

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• 30.

### Find out which part of the sentence has an error. if there is no mistake the answer is 'no error'.                                               A) The number of people / B) applying were so large / C) that the college had to / D) stop issuing application forms / E) No error

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

B. B
Explanation
The error in the sentence is in part B. The word "were" should be replaced with "was" to maintain subject-verb agreement. Since "the number" is a singular noun, it should be followed by a singular verb form.

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• 31.

### Find out which part of the sentence has an error. if there is no mistake the answer is 'no error'.                                          A) a series of lectures / B) of Indian philosophy / C) are arranged by the University / D) No error

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

C. C
Explanation
The given sentence is grammatically correct. The error is in part C where "are" should be replaced with "is" to maintain subject-verb agreement. The correct sentence would be "A series of lectures of Indian philosophy is arranged by the University."

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• 32.

### Select the lettered pair that has the same relationship as the original pair of words. Illiterate : Uneducated

• A.

Country : State

• B.

City : Village

• C.

Palace : Hut

• D.

Vision : Sight

D. Vision : Sight
Explanation
The original pair of words "Illiterate : Uneducated" shows a relationship where one word describes a lack or absence of the other word. Similarly, the pair "Vision : Sight" also exhibits the same relationship, where the word "Vision" describes the ability to see or have sight.

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• 33.

### Select the lettered pair that has the same relationship as the original pair of words. Money : Transaction

• A.

Life : Death

• B.

Water : Drink

• C.

Ideas : Exchange

• D.

Language : Conversation

D. Language : Conversation
Explanation
The correct answer is "Language : Conversation" because both pairs consist of a broader term (money, language) and a specific action or use related to that term (transaction, conversation). In both cases, the second word represents a common activity or purpose associated with the first word.

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• 34.

### Select the lettered pair that has the same relationship as the original pair of words. Overlook : Aberration

• A.

Mitigate : Penitence

• B.

Condone : Offence

• C.

Error : Omission

• D.

Conviction : Criminal

B. Condone : Offence
Explanation
The relationship between "overlook" and "aberration" is that "overlook" means to fail to notice or consider something, and "aberration" means a departure from what is normal or expected. Similarly, the relationship between "condone" and "offence" is that "condone" means to accept or allow behavior that is morally wrong or offensive, and "offence" refers to behavior that is morally wrong or offensive. Therefore, "condone : offence" has the same relationship as "overlook : aberration".

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• 35.

### Select the lettered pair that has the same relationship as the original pair of words. Sailor : Pirate

• A.

Police : Robbers

• B.

Lion : Lamb

• C.

Plant : Fungus

• D.

Major : Sepoy

A. Police : Robbers
Explanation
The relationship between "Sailor : Pirate" is that a sailor is someone who works on a ship, and a pirate is someone who commits acts of robbery and violence at sea. Similarly, the relationship between "Police : Robbers" is that police are law enforcement officers who catch and apprehend criminals, and robbers are individuals who commit theft and other illegal activities. Both pairs involve one group of individuals who are responsible for preventing or stopping illegal activities, and another group who engage in those illegal activities.

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• 36.

### Select the lettered pair that has the same relationship as the original pair of words. Utopia : English

• A.

Odyssey : Greek

• B.

Tulsidas : Sanskrit

• C.

Monalisa : English

• D.

Dante : Latin

C. Monalisa : English
Explanation
The correct answer is Monalisa : English. In the original pair, Utopia is a place that represents an ideal society and English is the language associated with it. Similarly, Monalisa is a famous painting and English is the language associated with it.

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• 37.

### : In each of the following questions, a sentence has been given in Active (or passive) voice. Out of the four alternatives suggested select the one which best express the same sentence in Passive (or Active) Voice. I know him.

• A.

He is known by me

• B.

He was known to me

• C.

He has been known by me

• D.

He is known to me

D. He is known to me
Explanation
The correct answer is "He is known to me" because it is the passive voice form of the sentence "I know him". In the passive voice, the subject of the sentence receives the action, which in this case is "him" being known by "me".

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• 38.

### : In each of the following questions, a sentence has been given in Active (or passive) voice. Out of the four alternatives suggested select the one which best express the same sentence in Passive (or Active) Voice. The residents celebrated the Independence Day

• A.

The Independence Day celebrated by the residents

• B.

The Independence Day was celebrated by the residents

• C.

The Independence Day has been celebrated by the residents

• D.

Celebration of Independence Day was done by the resident

B. The Independence Day was celebrated by the residents
Explanation
The sentence "The Independence Day was celebrated by the residents" is the correct answer because it correctly changes the sentence from active voice to passive voice. It maintains the same meaning as the original sentence, but the focus is shifted from the residents to the Independence Day itself, making it a passive construction.

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• 39.

### Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete Even if rains all day I will not be able to .........................my journey

• A.

Put by

• B.

put out

• C.

Put off

• D.

Put away

C. Put off
Explanation
The word "put off" is the most effective word to fill in the blank because it means to postpone or delay something. In the given sentence, the speaker is saying that even if it rains all day, they will not be able to delay or postpone their journey.

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• 40.

### Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete Help yourself....................whatever you can use without wasting

• A.

With

• B.

To

• C.

In

• D.

For

B. To
Explanation
The word "to" is the most effective word to fill in the blank because it indicates the purpose or intention of helping oneself. It suggests that one should take whatever they can use without wasting it.

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• 41.

### Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete There is an exception............................every rule

• A.

On

• B.

To

• C.

In

• D.

For

B. To
Explanation
The word "to" is the most effective word to fill in the blank to make the sentence meaningfully complete. It is commonly used in the phrase "there is an exception to every rule" to indicate that the exception applies or relates to the rule.

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• 42.

### What is the volume of a cubical box in cubic centimetres? (I) One face of the box has an area of 49 sq.cms. (II) The longest diagonal of the box is 20 cms.

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

D. D
Explanation
The volume of a cubical box can be calculated by finding the cube of the length of one side.
Statement (I) provides the area of one face, which is not sufficient to determine the length of one side and therefore the volume.
Statement (II) provides the length of the longest diagonal, which is also not sufficient to determine the length of one side and therefore the volume.
Combining both statements, we still do not have enough information to determine the length of one side and therefore the volume. Therefore, the answer is D, as the information provided is not sufficient.

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• 43.

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

E. E
• 44.

### Is x>y ?x, y are real numbers? (I) 8x = 6y (II) x = y + 4

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

B. B
Explanation
The correct answer is B. Both statements (I) and (II) provide enough information to determine whether x>y. Statement (I) can be rearranged to x/y = 6/8 = 3/4, which means x is less than y. Statement (II) shows that x is equal to y + 4, which means x is greater than y. Therefore, the answer is B.

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• 45.

### If a ground is rectangular, what is its width? (I) The ratio of its length to its breadth is 7:2 (II) Perimeter of the playground is 396 mts.

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

C. C
Explanation
To find the width of the ground, we need to know either the length or the perimeter of the ground. Statement II provides the perimeter of the ground, which is 396 mts. However, statement I does not provide any information about the length or the width of the ground. Therefore, using statement II alone, we cannot determine the width of the ground. Hence, the answer is C, as both statements are needed to find the width of the ground.

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• 46.

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

C. C
• 47.

### How many brothers and sisters are there in the family of seven children? (I) Each boy in the family has as many sisters as brothers (II) Each of the girl in the family has twice as many brothers as sisters

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

D. D
Explanation
From statement (I), we can deduce that each boy has an equal number of sisters and brothers. This means that there must be an odd number of children in the family, as each boy would have at least one sister. From statement (II), we can deduce that each girl has twice as many brothers as sisters. This means that each girl must have at least two brothers. Combining both statements, we can conclude that there are at least three boys and three girls in the family, making a total of at least six children. Therefore, the family must have at least seven children. Hence, the answer is D.

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• 48.

### X is not equal to 0, is x + y = 0? (I) x is the reciprocal of y (II) x is not equal to 1

• A.

A

• B.

B

• C.

C

• D.

D

• E.

E

A. A
Explanation
The correct answer is A. The statement "x is not equal to 0" implies that x cannot be 0. Therefore, if x is the reciprocal of y, it means that y cannot be 0 either. Since both x and y cannot be 0, it is possible for their sum to be 0. Additionally, the statement "x is not equal to 1" does not provide any information about the sum of x and y. Therefore, statement I is necessary to determine if x + y = 0.

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• 49.

### For each hour an watch is going slow by 30 seconds. Now time is 8a.m.What will be the actual time at 8p.m.

• A.

7.34

• B.

7.54

• C.

8.34

• D.

8.54

B. 7.54
Explanation
The watch is going slow by 30 seconds per hour. From 8am to 8pm, there are 12 hours. So, the watch will be behind by 12 * 30 seconds, which is 360 seconds or 6 minutes. Therefore, the actual time at 8pm will be 8pm - 6 minutes, which is 7.54.

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• 50.

### Select among the given choices that is most nearly opposite word “ AUTONOMY”

• A.

Submissiveness

• B.

dependence

• C.

subordination

• D.

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