Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 2/7 3/4 7/5 1/9 2/7 3/4 7/5 1/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 40 37 38 39 40 37 38 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 65 45 35 55 65 45 35 55 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
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? 150 160 140 170 150 160 140 170 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 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number? 69 39 59 49 69 39 59 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 75 73 74 76 75 73 74 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
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