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Number System

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

84
82
81
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

77
85
83
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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

5/4
4/5
3/5
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

Number System
If A = 1, B = 3, C = 5 and so on, what do the numbers 3, 9, 7 stand for

BED
CAR
CAT
BAT

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

BED

Number System
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

8
None of these
27
32

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.

Number System
If one-seventh of a number is 55 then 40% of that number = ?

154
171
163
147

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x ,             Therefore, x/7 = 55Therefore, x = 55 x 7 = 385Therefore, 49% of 385 = 154

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