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Number System

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

63480
60480
61480
62480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
83250÷?=74×25

45
59
21
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

45

Number System
7.8% of 12.5 + 2.5% of 161 = ?

5
2
9
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7.8 x 12.5/100 + 2.5 x 161/100= 0.975 + 4.025= 5

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?

13
7
15
18

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
Which one of the following represents the sum of the first n even numbers?

N2
N(N – 1)
N(N + 1)
N2+ 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

77
83
80
85

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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