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Number System

Number System
2/11 of 3/7 of 8/13 of 12012 = ?

241
321
576
449

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 2 x 3 x 8 x 12012/11 x 7 x 13 = 576

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

107
109
108
106

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
The difference between a number and its three-fifth is 50. What is the number?

None of these
125
75
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

7
3
11
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1955
1965
1975
1945

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number?

23
78
65
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65

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