119+ Numbers Questions and Answers | Quantitative Aptitude

Q:

Given that the polynomial $(x^{2} + ax + b)$ 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:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21	B) 20
C) 25	D) 30

Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

What will be the quotient when 2143 is divided by 38?

A) 56	B) 55
C) 57	D) 54

Answer & Explanation Answer: A) 56

Explanation:

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0 844

Q:

What least number must be subtracted from 3401, so that the sum is completely divisible by 11?

A) 3	B) 1
C) 2	D) 0

Answer & Explanation Answer: C) 2

Explanation:

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Q:

The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is

A) 17	B) 29
C) 43	D) none

Answer & Explanation Answer: D) none

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:

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 39	B) 93
C) 63	D) 36

Answer & Explanation Answer: A) 39

Explanation:

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Q:

The 3rd and 8th term of an arithmetic progression are -14 and 1 respectively. What is the 11th term?

A) 14	B) 16
C) 20	D) 10

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