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Number System

Number System
If a number is subtracted from its square we get 272. Find the number?

22
24
17
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

20
Cannot be determined
24
30

ANSWER DOWNLOAD EXAMIANS APP

Number System
Look at this series: 1000, 200, 40, ... What number should come next?

14
24
2
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

This is a simple division series. Each number is divided by 5. Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3rd number)....Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...So answer is a = 8.

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

3/10
4/5
5/4
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

65
74
61
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

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.

12.5
50
25
75

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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