Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 71 79 74 83 71 79 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System 666 / 6 / 3 = ? 333 111 84 37 333 111 84 37 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 666 * 1/6 * 1/3 = 37
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 289/290 290/289 1/289 289 289/290 290/289 1/289 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 50% of 8/15 of 9/4 of 5/3 of 333 = ? 444 555 333 666 444 555 333 666 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 50% of [8x9x5/15x4x3 x 333]= 50% of 666= 333
Number System 74698 + 365 + 85213 + 95 = ? 160371 160361 160351 160341 160371 160361 160351 160341 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 74698 + 365 + 85213 + 95 = 160371
Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 1/5 8/5 3/5 7/5 1/5 8/5 3/5 7/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
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