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Number System

Number System
Which is the smallest fractions among the following ?

27/31
15/19
11/13
13/15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

240
270
295
360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

Number System
The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ?

1456
3016
2871
4098

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016

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 ?

6373
6363
6353
6383

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

Number System
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

10
15
16
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

50
12.5
75
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

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