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Number System

Number System
The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number?

59
49
39
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

24
27
36
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

Number System
What will be the next number in the following number series ?

177
182
191
162

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1² + 1, 3² + 3, 5² + 5, 7² + 7

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
5
3

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
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

4589
3289
1760
2476

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

Number System
96% of a number is 19584. What is 56% of that number ?

11524
11424
11324
11224

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question.96% of x = 19584= x = 1958 x 100/96 = 20400∴ 56% of 20400= 20400 x 56/100= 11424

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