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Number System

Number System
√360 - 225 x 2 + 379 = ?

19
20
18
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √360 - 225 x 2 + 379 = √360 - 450 + 379 = √289= 17

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

Number System
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

2
4
3
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

12/35
35/8
1/35
7/32

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
If one-third of one fourth of a number is 15, then three-tenth of that number is:

35
45
25
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.

Number System
How many words can be made using the letters of the word "BHAG WADGITA" if all the vowels come together and all the consonants come together ?

10160
40160
30160
20160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of words = l2  l4  l7  / l3  l2  = 20160

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