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5
Q:

x = y - (50/y), where x and y are both > 0 

If the value of y is doubled in the equation above, the value of x will

A) decrease B) stay the same
C) increase four fold D) increase to more than double

Answer:   D) increase to more than double



Explanation:

The best approach is to pick a number that satisfies the rules that x and y are greater than 0. So for example you could choose 25 for y.

The value of x before doubling is then 25 - 50/25 = 23

The value after doubling y will be 50 - 50/50 = 49, which is more than double.

Subject: Numbers
Exam Prep: GRE
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A) 1.068 B) 1.072
C) 1.082 D) 1.096
 
Answer & Explanation Answer: A) 1.068

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Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

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Answer & Explanation Answer: D) 1, 2 and 3

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What is the unit place digit in the expansion of  773?

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Answer & Explanation Answer: C) 7

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What is the sum of all prime numbers between 60 and 80?

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Answer & Explanation Answer: C) 351

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Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

 

A) 33 B) 44
C) 55 D) 66
 
Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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A prime number contains the digit X at unit’s place. How many such digits of X are possible?

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Explanation:
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Thus no of digits occupying unit digit of prime numbers = 6 (1,2,3,5,7,9)
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The number 3521is divided by 8. What is the remainder?

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Answer & Explanation Answer: B) 3

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