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Number System

Number System
If the difference between a number and its three-fourth is 18, find the number.

57
61
72
68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72

Number System
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

8
60
7
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

252
296
388
344

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
√360 - 225 x 2 + 379 = ?

18
17
19
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √360 - 225 x 2 + 379 = √360 - 450 + 379 = √289= 17

Number System
2/11 of 3/7 of 8/13 of 12012 = ?

241
449
576
321

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 2 x 3 x 8 x 12012/11 x 7 x 13 = 576

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

83
71
74
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

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