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Number System

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

118
112
116
114

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If one third of 3/4 of a number is 21. Then find the number?

84
630
63
840

ANSWER DOWNLOAD EXAMIANS APP

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

54
58
60
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

62
64
68
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

Number System
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?

11
9
10
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

221 + 43 = 264/17 = 9 (Remainder)

Number System
What should come in place of the question mark (?) in the given number series ? 888, 888, 444, 148, ?, 7.4

36
39
37
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the missing number.Then888/888 = 1,888/444 = 2,444/148 = 3,148/x = 4= x = 148/4 = 37  and 37/7.4 = 5

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