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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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Q:

What will be the next set of numbers in the series? (2,3), (3,5), (5,7), (7,11), (11,13), ___

A) 13,15 B) 15,17
C) 13,17 D) 13,19
 
Answer & Explanation Answer: C) 13,17

Explanation:
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Q:

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:
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Q:

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

A) 540 B) 270
C) 108 D) 90
 
Answer & Explanation Answer: A) 540

Explanation:
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Q:

What is the least number that when divided by 63 and 105 leaves remainder 4 in each case?

A) 634 B) 256
C) 214 D) 319
 
Answer & Explanation Answer: D) 319

Explanation:
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Q:

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.

A) 30 & 55 B) 17 & 68
C) 35& 55 D) 51 & 34
 
Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Q:

For what value of X, 211X will be a perfect square?

A) 4 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: C) 6

Explanation:
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Q:

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

A) 34 B) 28
C) 25 D) 31
 
Answer & Explanation Answer: D) 31

Explanation:
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