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Number System

Number System
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:

27
18
30
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(3x-9):(5x-9) = 9:17 x = 12 => 3x = 36

Number System
5358 * 51 = ?

273358
273258
273348
273268

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258

Number System
84 * 29 + 365 = ?

- 2801
2436
2801
- 2071

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

- 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071

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.

75
25
50
12.5

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
If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ?

652
692
689
678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

85.5
83.5
82.5
84.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

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