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Number System

Number System
A shopkeeper purchased 200 bulbs for Rs. 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs. 12 each. What will be percentage profit?

14
21
17
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

12

Number System
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

8
12
60
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1965
1955
1945
1975

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

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

37
29
35
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

1/35
12/35
7/32
35/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

11
12
10
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

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