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Number System

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

2508
2520
2504
2510

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

Number System
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?

10, 5
9, 6
6, 9
7, 8

ANSWER DOWNLOAD EXAMIANS APP

Number System
If 2^(2x-1) = 8^(3-x), then the value of x is:

9
2
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

21, 26
30, 25
15, 20
20, 25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

Number System
The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ?

2871
1456
4098
3016

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016

Number System
An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ?

90/190
91/190
89/190
92/190

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190

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