Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 1/289 289 290/289 289/290 1/289 289 290/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
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 ? 3/4 7/5 1/9 2/7 3/4 7/5 1/9 2/7 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 If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 9/13 6/13 8/13 7/13 9/13 6/13 8/13 7/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
Number System 666 / 6 / 3 = ? 333 37 84 111 333 37 84 111 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 666 * 1/6 * 1/3 = 37
Number System How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ? 52 48 56 36 52 48 56 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 68 70 64 66 68 70 64 66 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
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