Aptitude - Questions & Answers

Aptitude - Number System Online Quiz

Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Number System. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - What is the result of the following?

 -82 x 39 + 235

Answer : D

Explanation

= -82 x (40 - 1) + 235
= -(82 x 40) + 82 + 235
= -3280 + 317 = -2963

Q 2 - (568 x 568 x 568 + 432 x 432 x 432) / (568 x 568 - 568 x 432 + 432 + 432) = ?

Answer : B

Explanation

This is solved using the following formulae:
(a³ + b³) = (a + b)( a² - ab + b²)
The value of (a+b) =
(a³ + b³) / ( a² - ab + b²) =
(568 + 432) = 1000

Q 3 - Which of the following is a prime number?

Answer : D

Explanation

151 is greater than 12
All prime numbers less than 12 is 2, 3, 5, 7, 11
24 is divisible by 3 i.e. not prime
35 is divisible by 5 i.e. not prime
125 is divisible by 5 i.e. not prime
151 is divisible by 2, 3, 5, 7, 11 i.e. prime number.

Q 4 - Which of the following numbers are divisible by 3 but not by 9?

Answer : C

Explanation

For this, calculate the sum of digits:
936: Sum of digits = 18 i.e. divisible by 3 and 9.
39987: Sum of digits = 36 i.e. divisible by 3 and 9.
2343: Sum of digits = 12 i.e. divisible by 3, but not by 9.
36: Sum of digits = 9 i.e. divisible by 3 and 9.

Q 5 - 190 x 5⁴ = ?

Answer : D

Explanation

= 190 x (¹⁰⁄₂)⁴
= ^{190 x 10⁴}⁄_2⁴
= 118750

Q 6 - Which of the following number divides 3²⁵ + 3²⁶ + 3²⁷ + 3²⁸ completely?

Answer : D

Explanation

  3²⁵ + 3²⁶ + 3²⁷ + 3²⁸  = 3²⁴ x (3¹ + 3² + 3³ + 3⁴)  = 3²⁴ x (3 + 9 + 27 + 81)  = 4⁶⁰ x 120  which is divisible by 30.

Q 7 - 9548 + 7314 = 8362 + x. What is x?

Answer : C

Explanation

  9548 + 7314 = 8362 + x ∴ x = 9548 + 7314 - 8362 = 8500

Q 8 - (y)² = 351649. What is y?

Answer : B

Explanation

  y = 1008 x 992     = (1000 + 8) x (1000 - 8)  Using formulae (a+b)(a-b) = a² - b²  ∴ y =  (1000)² - (8)²  = 1000000 - 64  = 999936

Q 9 - Which of the following is a prime number?

Answer : D

Explanation

97. As all other numbers are divisible by 3.

Q 10 - The sum of digits of two digit number is 10 and difference between the digits is 2. What is the number?

Answer : A

Explanation

  let number be ab  Thus a + b = 10 and a - b = 2  => (a + b) + (a - b) = 12  => 2a = 12  => a = 6  => b = 10 - a  = 10 - 6 = 4  ∴ number is 64.

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