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Number System

Number System
What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?

5084
6184
6084
6048

ANSWER DOWNLOAD EXAMIANS APP

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
64
66
62

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

25
45
54
35

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
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 ?

4
1
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

30
Cannot be determined
24
20

ANSWER DOWNLOAD EXAMIANS APP

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

84.5
83.5
85.5
82.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

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