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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?

9
1
11
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
Find out the smallest possible number which will be divisible by 1122 as well as 153.

1366
3366
4366
2366

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3366

Number System
The number of prime factors of (6)10×(7)17×(55)27

101
61
41
91

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

91

Number System
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

34/55
31/58
32/51
37/52

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

5/4
4/5
3/10
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

Number System
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

7
12
60
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12

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