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Number System

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

Cannot be determined
20
30
24

ANSWER DOWNLOAD EXAMIANS APP

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

775
750
640
725

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

289
1/289
289/290
290/289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

48
50
49
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

Number System
√2304 x √? = 2832

3481
3381
3581
3681

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

66
68
62
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

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