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Number System

Number System
What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ?

77
75
76
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

3
2
8
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

28
12
160
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series?

7/13
6/13
8/13
9/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13

Number System
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ?

74
73
75
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76

Number System
486+32×25—59=?

582
528
596
567

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

528

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