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Number System

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

17
24
14
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

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
25
50
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

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

5/12
144/25
12/5
25/144

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

5
4
10
6

ANSWER DOWNLOAD EXAMIANS APP

Number System
68375 + 72848 - ? = 34346 + 49569

57308
58308
59308
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 68375 + 72848 - 34346 - 49569 = 141223 - 83915 = 57308

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

74
61
69
65

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

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