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Number System

Number System
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

44
45
47
46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

Number System
How many numbers up to 100 and 300 are divisible by 11?

18
20
22
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(300 – 100)/11 = 200/11 = 18 2/1118 Numbers

Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

9974
None of these
9565
9125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

Number System
What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ?

8888
8884
8881
8882

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......

Number System
The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number?

15
18
7
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4th No. = (Total of 7 Nos) - (Total of first three + total of last 3)             = (15 x 7) - (6 x 3 + 23 x 3)             = 105 - (18 + 69)             =105 - 87             = 18

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

636
724
845
673

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

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