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Number System

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

164
170
168
162

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

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

80
60
None of these
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1580
1480
1780
1680

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

Number System
(444 x 44 x 4) ÷ 40 ?

2153.6
2053.6
1953.6
1853.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

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?

13
9
11
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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
5
11
3

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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