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Number System

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

2520
2410
2367
2678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

None
2
4
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

Number System
Supply the missing figure : 1, 4, 9, 16, 25 .... 49

36
23
16
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

36

Number System
Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?

160
140
150
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.

Number System
If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ?

652
689
678
692

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652

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

69
65
61
74

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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