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 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 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 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 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 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 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.