Number Problems - Quantitative Aptitude, Arithmetic Ability Questions and Answers

Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

A) 4	B) 5
C) 6	D) 7

Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264 => 4,3,11(/)
396 => 4,3,11(/)
462 => 11,3
792 => 4,3,11(/)
968 => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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7 2836

Q:

On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is

Answer

Divisor = $\left [ \frac{Divided-Remainder}{Quotient} \right ]$

= $\frac{45\times 46}{2}=75$

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Subject: Numbers - Quantitative Aptitude - Arithmetic Ability

9 2671

Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

A) 13	B) 12
C) 11	D) 10

Answer & Explanation Answer: D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

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9 2501

Q:

Which natural number is nearest to 8485, which is completely divisible by 75 ?

A) 8475	B) 8500
C) 8550	D) 8525

Answer & Explanation Answer: A) 8475

Explanation:

On dividing we get

75)8485(113
75
------
98
75
------
235
225
------
10
------
Required number = (8485-10)=8475.

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3 2408

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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