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Number System

Number System
In how many different ways can the letters of the word 'DETERMINE' be arranged ?

62480
61480
60480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

40
38
39
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
What is the least number to be subtracted from 696 to make it a perfect square?

1
71
16
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

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

415624
235641
315624
245642

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

841
871
851
861

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
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

15
4
5
7.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5

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