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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:

45
35
25
54

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
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

116
114
112
118

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

12, 7
10, 5
12, 9
11, 6

ANSWER DOWNLOAD EXAMIANS APP

Number System
Which one of the following numbers is exactly divisible by 11?

315624
415624
235641
245642

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

Number System
Which one of the following represents the sum of the first n even numbers?

N(N + 1)
N2+ 1
N2
N(N – 1)

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

None of these
36
14
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

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