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Number System

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

106
108
109
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
If 2^(2x-1) = 8^(3-x), then the value of x is:

9
2
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2

Number System
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
112
118
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
If the product of two successive positive integers is 4692, what is the smaller number ?

70
68
64
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

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

77
83
80
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
√9216 + √15376 = ?

224
231
220
227

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √9216 + √15376= 96 + 124= 220

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