GRE Questions

Q:

I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

A) if a > b B) if a < b
C) if the relationship between a and b cannot be established. D) if a ≤ b
 
Answer & Explanation Answer: A) if a > b

Explanation:

I.  (a - 3)(a - 4) = 0

 

=> a = 3, 4

 

II.   (b - 2)(b - 1) = 0

 

=> b = 1, 2

 

=> a > b

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Filed Under: Statement and Conclusions
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1 58670
Q:

Find out the wrong number in the following series:

5, 15, 30, 80, 180, 540, 1080

A) 540 B) 180
C) 30 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

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Filed Under: Odd Man Out
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6 57935
Q:

What is the place value of 6 in 64?

A) 6 B) 60
C) 64 D) 10
 
Answer & Explanation Answer: B) 60

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

 

Hence, the place value of 6 in 64 = 6 x 10 = 60.

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229 56417
Q:

Paw : Cat :: Hoof : ?

A) Donkey B) Lion
C) Elephant D) Horse
 
Answer & Explanation Answer: D) Horse

Explanation:

The cat's foot is called a paw. The horse's foot is called a hoof.

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Filed Under: Analogy
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117 55585
Q:

What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

A) Only a is sufficient B) Only b is sufficient
C) Both a & b are necessary D) None
 
Answer & Explanation Answer: A) Only a is sufficient

Explanation:

The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term

so only 1st statement is sufficient to answer the question

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Filed Under: Statement and Conclusions
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2 54969
Q:

x and y are integers

x + y < 11 , and x > 6

What is the smallest possible value of x - y ?

A) 1 B) 24
C) 4 D) -2
 
Answer & Explanation Answer: C) 4

Explanation:

The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.

The difference, x - y will be 4.

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Filed Under: Problems on Numbers
Exam Prep: GRE

7 53114
Q:

6 : 18 :: 4 : ?

A) 14 B) 6
C) 16 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Here the given number analogy follows two patterns that,

18 --> 6 x 3

4

12 --> 4 x 3

 

OR

6

18 ----> 6x6/2 = 18

4

8 ----> 4x4/2 = 8

 

As 12 is not available in the options, 8 is correct answer.

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Filed Under: Analogy
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200 52934
Q:

They come out at night without being called and are lost in the day without being stolen. What are they?

A) Light B) Bats
C) Stars D) Flights
 
Answer & Explanation Answer: C) Stars

Explanation:

Stars are what that come out at night without being called and are lost in the day without being stolen.

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