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Number System

Number System
If 70% of an equal to 40% of b, then ratio between a and b is?

7: 11
7: 4
None
4: 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

70 a = 40 ba: b = 4: 7

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
84.5
82.5
83.5

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
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 926
Rs. 986
Rs. 945
Rs. 1054

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
Complete the series : 1, 8, 27, 64, 125, 216 .....

373
363
343
353

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

343

Number System
What is the value of ? in the following equations ? 72/? = ?/50

100
40
60
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60

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

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

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

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