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:

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:

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:

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

A) 7	B) 8
C) 9	D) 10

Answer & Explanation Answer: C) 9

Explanation:

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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:

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 98	B) 89
C) 78	D) 87

Answer & Explanation Answer: B) 89

Explanation:

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0 1109

Q:

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

A) -22	B) -25
C) -19	D) -28

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