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Number System

Number System
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

20
30
40
None of these

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

61
65
69
74

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

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

576
449
321
241

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
What should be the least number to be added to the 51234 number to make it divisible by 9?

4
5
3
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.

Number System
3√103823 = ?

52
41
47
44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√103823 = 3√47 x 47 x 47 = 47

Number System
√2304 x √? = 2832

3481
3581
3381
3681

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√2304 x √? = 2832= 48 x √? = 2832= √? = 2832/48 = 59∴? = 59 x 59 = 3481

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