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Number System

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

60480
61480
62480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

22
28
18
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

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 ?

39
40
38
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
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

34/55
31/58
32/51
37/52

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

Number System
8988 / 8 / 4 = ?

561.75
2247
280.875
4494

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8988 * 1/8 * 1/4 = 2247/8 = 280.875

Number System
(800 / 64) * (1296 / 36) = ?

420
460
None of these
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Exp.= 800/64 * 1296/36 = 12.5 * 36 = 450

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