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Number System

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

40
30
45
22 1/2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

Number System
35 + 15 * 1.5 = ?

57.5
75
5.25
51.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5

Number System
If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ?

7/5
8/5
1/5
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175        = 8/5

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

20, 25
15, 20
21, 26
30, 25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

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

6
7
5
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
In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3 .What was the original fraction

19/12
17/12
7/12
11/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/12

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