GRE Questions

Q:

5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ?

A) 24 and 13 years B) 48 and 24 years
C) 35 and 11 years D) 33 and 15 years
 
Answer & Explanation Answer: C) 35 and 11 years

Explanation:

Let the age of sushma be x and
the age of her son is y
Then five years before x-5=5(y-5) ...(1)
Five years hence x+5 = 3(y+5)-8 .....(2)

By soving (1) & (2), we get
5y - 15 = 3y + 7
y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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Filed Under: Problems on Ages
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9 8928
Q:

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

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Filed Under: Arithmetical Reasoning
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11 8900
Q:

M, K, J, T, R, D and W are seven members of a family. There are two married couples among them belonging to two different generations. Each of them has a different choice of cuisine - Chinese, Continental, Thai, Punjabi, South Indian, Gujarati and Malwani. The grandfather in the family likes Gujarati food. None of the ladies likes Continental or Thai food. T is the son of M, who likes Chinese food. W is J's daughter-in-law and she likes South Indian food. K is grandfather of D, who likes Punjabi food. J is mother of R, who likes Continental food.

Question 1:

How is R related to D?

a) Father b) Brother c) Uncle d) Data inadequate

 

Question 2:

Which of the following group contains one each from the same generations?

a) JRT b) JRW c) MRD  d) MWT

Answer

Answer 1:
c) Uncle
R is Uncle to D.


 


Answer 2:
a) JRT
JRT are one each from the same generations.

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7 8900
Q:

Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

A) E = 15 & Y = 3 B) E = 14 & Y = 12
C) E = 40 & Y = 22 D) E = 4 & Y = 2
 
Answer & Explanation Answer: D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

 

Let the the age of the younger boy = Y

 

Given that Y = cube root of EY

 


=> Y3 = EY => E = Y2 .....(1)
By the condition of number replacement the age of the father is YE

 

The Mother's age = EY/2

 

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

 

Then now from the given options we can identify which satisfies the all the conditions.

 

Here Y =2 and E = 4 satisfies all the conditions.

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8 8893
Q:

Find the wrong number from the following series ?
37   47    52    67    87    112    142

A) 87 B) 47
C) 52 D) 67
 
Answer & Explanation Answer: B) 47

Explanation:

The given series follows the rule,
+(5x1), +(5x2), +(5x3), +(5x4), +(5x5),....

So starting from 37, 37 + 5 = 42, 42 + 10 = 52, 52 + 15 = 67, 67 + 20 = 87,...
So wrong number is 47 which is to be 42.

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Filed Under: Number Series
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11 8880
Q:

19 persons do 19 programs in 19 hours . If they take 15 mins interval and then how much time they need to do 52 programs.

A) 23 hours B) 47 hrs 15 min
C) 52 hrs 15 min D) 22 hrs 15 min
 
Answer & Explanation Answer: C) 52 hrs 15 min

Explanation:

Since they can do 19 programs in 19 hours, Then 52 programs in 52 hours respectively.
And a 15 min interval
Total time they take to do 52 programs is 52 hours 15 minutes.

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11 8867
Q:

Word length of a personal computer is

A) 32 bit B) 16 bit
C) 8 bit D) 4 bit
 
Answer & Explanation Answer: C) 8 bit

Explanation:

Word length refers to the number of bits processed by a computer's CPU in one go. These days, typically 32 bits or 64 bits are used.

Data bus size, instruction size, address size are usually multiples of the word size.

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11 8866
Q:

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?

 

A) 113/108 B) 105/103
C) 108/115 D) 103/113
 
Answer & Explanation Answer: B) 105/103

Explanation:

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver = 513 + 58813 + 38 = 105103.

 

Hence, ratio of gold and silver in the resulting alloy = 105/103.

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Filed Under: Alligation or Mixture
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15 8845