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Number System

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

2508
2504
2510
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

252
296
388
344

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
Find the least number with which 16200 should be multiplied, to make it a perfect cube.

45
36
48
360

ANSWER DOWNLOAD EXAMIANS APP

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

160
180
12
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

3
5
11
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

61
74
65
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

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