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Number System

Number System
Supply the missing figure : 2, 6, 12, 20, 30 ... 56

41
40
39
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

42

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

12
10
13
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

9
10
11
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(700 – 300)/42 = 9 22/42 => 9 Numbers

Number System
If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

12/25
6/7
3/5
13/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

2
8
3
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ?

3/5
8/5
7/5
1/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175        = 8/5

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