GRE Questions

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8 B) 5^8
C) 8P5 D) 8^5
 
Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

 

Hence, it is 58 and not 85.

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Filed Under: Permutations and Combinations
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16 19081
Q:

If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ?

A) Rs. 580 B) Rs. 480
C) Rs. 550 D) Rs. 470
 
Answer & Explanation Answer: B) Rs. 480

Explanation:

Let the sum be Rs. P. Then,

 

P1+252x1002-P= 510

 

P[982- 1] = 510.

 

Sum = Rs. 1920

 

So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

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Filed Under: Simple Interest
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39 19078
Q:

Book is to chapter as organization is to

Answer

A book is consists of various chapters, so as the Organization consists of various departments. Therefore if Book is to chapter so organization is to department.


 


Hence, Book : Chapter :: Organisation : Department.

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16 18944
Q:

Should cutting of trees be banned altogether?

Arguments:

I. Yes. It is very much necessary to do so to restore ecological balance.

II. No. A total ban would harm timber based industries.

A) Only argument I is strong B) Only argument II is strong
C) Neither I nor II is strong D) Both I and II are strong
 
Answer & Explanation Answer: D) Both I and II are strong

Explanation:
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Filed Under: Statement and Arguments
Exam Prep: GRE

6 18923
Q:

Doctor : Nurse :: ? : Follower

A) Manager B) Employer
C) Worker D) Leader
 
Answer & Explanation Answer: D) Leader

Explanation:

Here the second one follows the first one. That is a nurse follows a doctor and similarly, a follower follows a leader.

 

Hence, Doctor : Nurse :: Leader : Follower.

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Filed Under: Analogy
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8 18897
Q:

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

A) 215 B) 315
C) 415 D) 115
 
Answer & Explanation Answer: B) 315

Explanation:
Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.
 

Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.
 

Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315
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30 18873
Q:

A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?

A) 80 kms B) 60 kms
C) 45 kms D) 32 kms
 
Answer & Explanation Answer: B) 60 kms

Explanation:

Let 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms.

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Filed Under: Problems on Trains
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19 18842
Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 4511 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

 

Satish Ratio in profit will be= 16970×2179 = Rs. 4511

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Filed Under: Partnership
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