119+ Numbers Questions and Answers | Quantitative Aptitude

Q:

Direction: What should come in the place of question mark (?) in the following number series?

9, 11, 16, 26, ?, 69

A) 31	B) 38
C) 43	D) 45

Answer & Explanation Answer: C) 43

Explanation:

Double Difference pattern is followed in the above series. +2, +5, + 10, +17, +26

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1 22173

Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8	B) 2
C) 6	D) 4

Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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45 21763

Q:

The largest 4 digit number exactly divisible by 88 is ?

A) 9944	B) 9768
C) 8888	D) 9988

Answer & Explanation Answer: A) 9944

Explanation:

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

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52 21689

Q:

If 60% of $\frac{3}{5}$ of a number is 36, then the number is

A) 86	B) 94
C) 100	D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of $\frac{3}{5}$ of x=36.

=> $\frac{60}{100} * \frac{3}{5} * x = 36$

=> $\frac{9 x}{25} = 36$ => x= $\frac{25 * 36}{9} = 100$

Required number is 100.

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28 21340

Q:

Find the next number in the series 14, 916, 2536,......

A) 4981	B) 6481
C) 4964	D) 6449

Answer & Explanation Answer: C) 4964

Explanation:

The pattern is $1^{2} 2^{2}, 3^{2} 4^{2}, 5^{2} 6^{2}$ ,

$∴$ The next number= $7^{2} 8^{2}$ = 4964

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45 20853

Q:

Select the correct option:

Convert decimal 101 to binary .

A) 1101001	B) 1100111
C) 1101011	D) 1100101

Answer & Explanation Answer: D) 1100101

Explanation:

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0 20841

Q:

Which one of the following cannot be the square of a natural number?

A) 32761	B) 42437
C) 81225	D) 20164

Answer & Explanation Answer: B) 42437

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

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32 20839

Q:

Find the unit digit of 4¹⁹⁸ + 6¹²³⁴⁵ + 348⁶⁶ + 24¹¹ + 1.

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

Answer & Explanation Answer: C) 1

Explanation:

Given that, $4^{198} + 6^{12345} + 348^{66} + 24^{11} + 1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

$4^{198}$ - 198 is even number , So the unit digit value is 6

$6^{12345}$ - It is always 6

$348^{66}$ - 66/4 the remainder is 2 , So the second value is 4

$24^{11}$ - 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

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26 20122

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