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Number System

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

168
162
164
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

Number System
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

8
10
9
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(700 – 300)/42 = 9 22/42 => 9 Numbers

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

83
80
77
85

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
If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ?

17
11
15
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)²                       = 1394 - 1225                       = 169Therefore, x = √169 = 13

Number System
In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3 .What was the original fraction

17/12
11/12
7/12
19/12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/12

Number System
If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ?

101
121
111
131

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2                        = 47765 - 33124Therefore x² = 14641,                Therefore x = 121

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