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Number System

Number System
35%of ?=242

487
542
394
693

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

693

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

7
5
4
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

7
5
6
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
What is the remainder when 263251 is divided by 9?

1
8
6
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.2 + 6 + 3 + 2 + 5 + 1 = 19The nearest multiple of 9 is 18.19 - 18 = 1.

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

15
17
11
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
1089/? = ?/1296

1188
1348
1082
1278

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

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