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Number System

Number System
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
112
116
118

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

7/5
3/4
2/7
1/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

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

21, 26
20, 25
15, 20
30, 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
Two third of three- fifth of one fourth of a number is 24, what is 30% of that number?

69
90
42
72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 986
Rs. 945
Rs. 926
Rs. 1054

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ?

52
56
48
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36

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