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Number System

Number System
If one-third of one fourth of a number is 15, then three-tenth of that number is:

25
54
35
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.

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

7
5
4
6

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
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?

10, 5
6, 9
7, 8
9, 6

ANSWER DOWNLOAD EXAMIANS APP

Number System
If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

13/25
12/25
6/7
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

315
325
104
114

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6383
6363
6373
6353

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

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