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Number System

Number System
On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

3
11
0
5

ANSWER DOWNLOAD EXAMIANS APP

Number System
The population of a town increases by 15% in the first year and decreases by 25% in the second year. If its current population is 168480 then what will be its population after two years ?

145214
145314
145714
145914

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Population of the town= 168480 x 115/100 x 75/100= 145314

Number System
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ?

73
74
75
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76

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

56
60
54
58

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
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

25
50
12.5
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

21
84
24
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/3 x = 28 => x = 4242 * 1/2 = 21

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