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Number System

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

None
6
4
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

162
164
168
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1780
1680
1480
1580

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

12, 9
10, 5
12, 7
11, 6

ANSWER DOWNLOAD EXAMIANS APP

Number System
The simplest form of 1.5 : 2.5 is :

3 : 5
17 : 19
5 : 7
13 : 11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

70
Cannot be determined
92
29

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

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