GRE Questions

Q:

The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ?

A) p times B) 2p times
C) (p + 4) times D) (2p + 3) times
 
Answer & Explanation Answer: C) (p + 4) times

Explanation:

Let the two no's be a and b;
Given product of the no's is p = ab;
If the each nos is increased by 2 then the new product will be
(a+2)(b+2) = ab + 2a + 2b + 4
= ab + 2(a+b) + 4
= p + 2(a+b) + 4
Hence the new product is (p+4) times greater than twice the sum of the two original numbers.

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Filed Under: Problems on Numbers
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11 9790
Q:

Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?

A) 11 B) 10
C) 9 D) 8
 
Answer & Explanation Answer: C) 9

Explanation:

Total hours worked = 8 x 3 + 6 x 2 = 36

Total earned = 324. Hourly wage = 324 / 36 = 9

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2 9702
Q:

In a certain code language, 'is uc he bh kr' mean 'Lucky likes to dance freely', 'ha by lm kr op' mean 'Dance can be a hobby', 'he id ac kr bh' mean 'Lucky teaches dance to kids' and 'kr id bh tw uc' mean 'Kids dance freely with Lucky'.

Now answer the given question.

'Lucky likes to dance with kids' can be coded as ?

A) he kr op id uc tw B) bh is he kr tw id
C) ac tw op bh uc id D) None of the above
 
Answer & Explanation Answer: B) bh is he kr tw id

Explanation:

From given data, codes for

Lucky - bh

Likes - is

to - he

Dance - kr

with - tw

Kids - id

Hence, Lucky like to dance with kids can be coded as 'bh is he kr tw id'.

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Filed Under: Coding and Decoding
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60 9699
Q:

Bread : Yeast :: Curd : ?

A) Fungi B) Bacteria
C) Germs D) Virus
 
Answer & Explanation Answer: B) Bacteria

Explanation:

First is produced by the action of the second.

Hence, Bread : Yeast :: Curd : Bacteria.

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Filed Under: Analogy
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5 9685
Q:

How many days are there in k weeks k days ?

A) 8+k days B) 7+1k days
C) 8k days D) 7/k days
 
Answer & Explanation Answer: C) 8k days

Explanation:

As we know that a week has 7 days,

k weeks k days = (7k + k) days = 8k days.

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Filed Under: Calendar
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11 9648
Q:

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

A) 22 B) 36
C) 32 D) 26
 
Answer & Explanation Answer: B) 36

Explanation:

Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
54x3045 = 36.

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10 9632
Q:

Country : President :: State : ?

A) Governor B) Speaker
C) Prime Minister D) Chief Minister
 
Answer & Explanation Answer: A) Governor

Explanation:

The President is the highest officer in the country. Similarly, Governor is the highest officer of the state.

 

Hence, Country : President :: State : Governor.

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Filed Under: Analogy
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18 9611
Q:

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A) 81 B) 78
C) 80.5 D) 81.5
 
Answer & Explanation Answer: D) 81.5

Explanation:

Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

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Filed Under: Average
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12 9527