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Number System

Number System
450% of a number is 4725. What is 82% of that number ?

851
871
861
841

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861

Number System
Which one of the following numbers is exactly divisible by 11?

245642
415624
235641
315624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

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

7
5
4
6

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
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?

3
1
0
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number = 269 * 68 + 0 = 1829267) 18292 (273       18291         --------                1Required number = 1.

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

5
6
4
7

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
(3² x 4² x 5) ÷ 36 = (?)² - 80

14
16
12
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10

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