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Number System

Number System
Find the least value of 3x + 4y if x2y3 = 6.

6
3
7
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

Number System
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?

6993
6093
693
6893

ANSWER DOWNLOAD EXAMIANS APP

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

39
40
38
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

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

118
112
116
114

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is

8.784
8.684
8.484
8.584

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8.484

Number System
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?

90
100
None of these
110

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.

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