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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
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

Number System
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

1/9
2/7
7/5
3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

Number System
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

391
384
386
388

ANSWER DOWNLOAD EXAMIANS APP

Number System
What is the least number that should be added to 5200 to make it a perfect square ?

275
288
225
129

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

5400
10800
1800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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