Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 44 80 40 88 44 80 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is: 27 30 24 22 27 30 24 22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 27
Number System 36% of 850+? % of 592 = 750 75 25 50 12.5 75 25 50 12.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 75
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 9 13 1 11 9 13 1 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
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 1/9 7/5 3/4 2/7 1/9 7/5 3/4 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 In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 54 60 56 58 54 60 56 58 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
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