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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?

1
13
11
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

7
5
6
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

20
30
24
Cannot be determined

ANSWER DOWNLOAD EXAMIANS APP

Number System
486+32×25—59=?

596
582
567
528

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

528

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?

8
5
3
2

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
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?

40
30
22 1/2
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

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