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Number System

Number System
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

21
42
24
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/3 x = 28 => x = 4242 * 1/2 = 21

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:

10
11
13
12

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
What number should replace both the question marks (?) in the following question ?

83
82
84
85

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

84

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

85
83
80
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
(12)² - (4.4)² - (0.04)² = ?

129.6384
124.6384
131.6384
125.6384

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(12)² - (4.4)² - (0.04)²= 144 - 19.36 - 0.0016= 124.64 - 0.0016= 124.6384

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

9
3
5
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

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