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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
45
54
35

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
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

39
37
38
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

396
382
343
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

1800
2700
5400
10800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?

693
6893
6093
6993

ANSWER DOWNLOAD EXAMIANS APP

Number System
How many numbers up to 100 are divisible by 7?

93
100
107
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

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