Aptitude - Number System Online Quiz



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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.

Questions and Answers

Q 1 - What is the result of the following?

 -82 x 39 + 235  

A - 2963

B - 2960

C - 3963

D - 2963

Answer : D

Explanation

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

Q 2 - If the number 517 * 324 is completely divisible by 3, then the smallest whole number in place of * will be?

A - 0

B - 3

C - 1

D - 2

Answer : D

Explanation

For this:
= (5 + 1 + 7 + x + 3 + 2 +4)
= 22 + x
Now, 22 + x must be divisible by 3. So, for this x should be 2.
22 + 2 = 24 i.e. divisible by 3

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

A - 7

B - 9

C - 12

D - 20

Answer : A

Explanation

7 as it has no positive divisors except 1.

Q 4 - 2 + 22 + 23 + ... + 211 = ?

A - 4094

B - 2048

C - 1012

D - 512

Answer : A

Explanation

G.P: a = 2, r = 222 = 2, n = 11
Sn = a( rn - 1)(r - 1) = 2 x ( 211 - 1)(2 - 1) = 2 x (2048 - 1)
Therefore, Sn = 4094

Q 5 - 22 + 42 + 62 + ... + 142 = ?

A - 260

B - 730

C - 460

D - 560

Answer : D

Explanation

= (1 x 2) + (2 x 2) + (2 x 3) + ... + (2 x 7)
= (22 x 12) + (22 x 22) + (22 x 32) + ... + (22 x 72)
= 22 x [ 12 + 22 + 32 + ... + 72 ]
= 4 x 140
= 560

Q 6 - What is the unit digit in in 795 - 358 ?

A - 0

B - 4

C - 6

D - 7

Answer : B

Explanation

  795 = (74)23 x 73 So Unit digit in 795 = Unit digit in 1 x 343 = 3  358 = (34)14 x 32 So Unit digit in 358 = Unit digit in 1 x 9 = 9  So Unit digit in 795 - 358 = Unit digit in 13 - 9 = 4.

Q 7 - 1014 x 986 = y. What is y?

A - 988804

B - 998814

C - 998904

D - 999804

Answer : D

Explanation

 y =1014 x 986 = 1014 x (1000 - 14) = 1014000 - 14196 = 999804  

Q 8 - 12846 x 593 + 12846 x 407 = y. What is y?

A - 12846000

B - 14203706

C - 24038606

D - 24064000

Answer : A

Explanation

  y = 12846 x 593 + 12846 x 407  = 12846 x (593 + 407)  = 12846 x 1000  = 12846000  

Q 9 - What is the sum of first five prime numbers?

A - 11

B - 18

C - 26

D - 28

Answer : D

Explanation

First five prime numbers are 2, 3, 5, 7, 11. Sum - 28

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

A - 64

B - 42

C - 86

D - 97

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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