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Number System

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

5
10
9
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

30
26
28
29

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

83
77
85
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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?

170
160
150
140

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
124, 235, 447, 760, 1174, ?

1489
1589
1689
1389

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

+111, +212, +313, +414

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 ?

68
62
64
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.

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