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NUMBER SYSTEM

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

11
15
13
17

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
What is the sum of 1 + 2 + 3+ ... + 27 ?

382
343
378
396

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

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

147
154
171
163

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

2
3
4
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4

Number System
If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series?

9/13
8/13
7/13
6/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13

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