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Number System

Number System
A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?

11
13
1
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

45 + 31 = 76/15 = 1 (Remainder)

Number System
A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

22
30
27
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

27

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
7
6
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
In how many different ways can the letters of the word 'LEASE' be arranged ?

60
40
None of these
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

750
640
725
775

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

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:

5
3
9
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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