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 - 20 + 15 X 3.5 = ?

Answer : B

Explanation

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

Q 2 - Which of the numbers is exactly divisible by 11?

Answer : A

Explanation

Divisibility by 11: If the difference between the sum of digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11.
(9 + 5 + 4) - (1 + 5 + 1) = 11 i.e. exactly divisible by 11.
(7 + 6) - (2 + 3) is not divisible by 11.
(6 + 3) - (4 + 3) is not divisible by 11.
(7 + 3 + 4) - (6 + 9 +1) is not divisible by 11.

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

Answer : A

Explanation

7 as it has no positive divisors except 1.

Q 4 - When a number is divided by 17, the remainder is 9. When the same number is divided by 23, the remainder is 4. Find the number?

Answer : B

Explanation

x = 17p + 9 and x = 23q + 4
i.e. 17p + 9 = 23q + 4
Therefore, q = (17p + 5)/23
Least value of p for which q is a whole number is p = 20
x = 17p + 9
= 17 x 20 + 9
= 349

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 - What is the unit digit in in 3⁶⁵ x 6⁵⁹ x 7⁷¹ ?

Answer : C

Explanation

  3⁶⁵ = (3⁴)⁶ x 3 So Unit digit in 3⁶⁵ = Unit digit in 1 x 3 = 3  6⁵⁹ = (6⁴)¹⁴ x 6³ So Unit digit in 6⁵⁹ = Unit digit in 6 x 216 = 6  7⁷¹ = (7⁴)¹⁷ x 7³ So Unit digit in 7⁷¹ = Unit digit in 1 x 343 = 3  So Unit digit in 3⁶⁵ x 6⁵⁹ x 7⁷¹ = Unit digit in 3 x 6 x 3 = 4.

Q 7 - 1024 x 976 = y. What is y?

Answer : C

Explanation

  y =1024 x 976  = (1000 + 24) x (1000 - 24)  Now using formula (a+b)(a-b)=a²-b²  y = (1000)² - (24)²  = 1000000 - 576  = 999424

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

Answer : A

Explanation

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

Q 9 - What is the first prime number?

Answer : C

Explanation

2 is the first prime number.

Q 10 - How many numbers are divisible by all 4,5 and 6 lying between 200 and 600.

Answer : B

Explanation

Each number should be divisible by L.C.M. of 4, 5 and 6 i.e. 60. So numbers are 240, 300, 360, 420, 480, 540. Count: 6

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