Aptitude - Number System Online 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.

Questions and Answers

Q 1 - 20 + 15 X 3.5 = ?

A - 72

B - 72.5

C - 62.5

D - none of these

Answer : B

Explanation

= 20 + 15 x 3.5
= 20 + 15 x (7/2)
= 20 + 52.5
= 72.5

Q 2 - What is the unit digit of 1335

A - 1

B - 3

C - 4

D - 7

Answer : D

Explanation

131 has unit digit 3. 132 has unit digit 9. 133 has unit digit 7. 134 has unit digit 1. This will form a pattern 3-7-9-1. So 1332 has unit digit 1 and 1335 has unit digit as 7.

Q 3 - If p and q are odd numbers, then which of these is even?

A - pq

B - p + q

C - pq - 2

D - none of these

Answer : B

Explanation

Sum of two odd numbers is even
Example:
p = 19, q = 37
p + q = 56 i.e. even.

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 - The largest three digit multiple of 32?

A - 999

B - 992

C - 994

D - 978

Answer : B

Explanation

999 is the largest three digit number.
On dividing 999 by 32, remainder is 7.
999 - 7 = 992
Therefore, 992 is the largest three digit multiple of 32.

Q 6 - Which of the following number divides 461 + 462 + 463 + 464 completely?

A - 3

B - 10

C - 11

D - 13

Answer : B

Explanation

  461 + 462 + 463 + 464  = 460 x (41 + 42 + 43 + 44)  = 460 x (4 + 16 + 64 + 256)  = 460 x 340  which is divisible by 10.  

Q 7 - 587 x 999 = y. What is y?

A - 586413

B - 586423

C - 586433

D - 586443

Answer : A

Explanation

  y = 587 x 999   = 587 x (1000 - 1)  = 587 x 1000 - 587  = 587000 - 587  = 586413  

Q 8 - 217 x 217 + 183 x 183 = y. What is y?

A - 79698

B - 80578

C - 80698

D - 81238

Answer : B

Explanation

  y = 217 x 217 + 183 x 183    = (217)2 + (183)2  = (200 + 17)2 + (200 -17)2  Using formulae (a+b)2 = a2 + b2 + 2ab and  (a-b)2 = a2 + b2 - 2ab  (a+b)2 + (a-b)2 = 2(a2 + b2)  ∴ y = 2 x [(200)2 + (17)2]  = 2 x [40000 + 289]  = 2 x 40289  = 80578  

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 - 517p324 is divisible by 3. What is minimum p?

A - 0

B - 1

C - 2

D - 3

Answer : B

Explanation

    5 + 1 + 7 + p + 3 + 2 + 4  = 22 + x  which is divisible by 3  ∴ x = 2  
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