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 - 1000⁹ ÷ 10²⁶ = ?

Answer : C

Explanation

= 1000⁹⁄_10²⁶
= (10³)⁹⁄_10²⁶
= 10²⁷⁄_10²⁶
= 10^{27 - 26}
= 10

Q 2 - What is the unit digit of 13³⁵

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 - On dividing a number by 56, we get remainder as 29. On dividing the same number by 8, what will be the remainder?

Answer : A

Explanation

Let p = number and q = quotient
p = 357 x q + 39
= (17 x 21 x q) + (17 x 2) + 5
= 17 x 921y + 2 ) + 5
Remainder = 5

Q 4 - How many natural numbers are there between 17 and 9 which are exactly divisible by 6?

Answer : A

Explanation

Numbers -> 18, 24, 30, ... , 90
A.P: a = 18, d = 6, l = 90
t_n = a + (n-1)d
90 = 18 + (n-1)6
90 = 18 + 6n -6
n = 13

Q 5 - If 653pq is divisible by 90, then (p + q) =?

Answer : A

Explanation

90 = 10 x 9
653pq is divisible by 10, so we can say that q = 0
Now,if 653p0 is divisible by 9.
So, (6 + 5 + 3 + p + 0) = (14 + p) is divisible by 9. So, p = 4.
Therefore, (p + q) = 4 + 0 = 4

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

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 - (45 + 46 + 47 + ... + 114 + 115) = ?

Answer : C

Explanation

  Using formula for sum of natural numbers  (1 + 2 + 3 +... + n) = (1/2)n(n+1)  (45 + 46 + 47 + ... + 114 + 115) = (1 + 2 + 3 +... + 115) - (1 + 2 + 3 + ... + 44)  = (1/2) x 115 x 116 - (1/2) x 44 x 45  = 115 x 58 - 22 x 45  = 6670 - 990  = 5680

Q 8 - 14927 x 567 - 14927 x 467 = y. What is y?

Answer : B

Explanation

  y = 14927 x 567 - 14927 x 467   = 14927 x (567 - 467)   = 14927 x 100  = 1492700

Q 9 - What is the largest number which can divide n³ - n for every natural number n?

Answer : A

Explanation

  (2)³ - 2 = 6   ∴ 6 is the largest number which can divide n³ - n for every natural number n.

Q 10 - What is the common factor in (47⁴³ + 43⁴³) and (47⁴⁷ + 43⁴⁷)

Answer : B

Explanation

aⁿ + bⁿ is divisible by a + b if n is an odd number. ∴ each number is divisible by (47 + 43).

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