Number System Which one of the following numbers is exactly divisible by 11? 415624 315624 235641 245642 415624 315624 235641 245642 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
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 3/5 8/5 7/5 1/5 3/5 8/5 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
Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 81 42 18 24 81 42 18 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System Which one of the following represents the sum of the first n even numbers? N2+ 1 N(N + 1) N2 N(N – 1) N2+ 1 N(N + 1) N2 N(N – 1) ANSWER EXPLANATION DOWNLOAD EXAMIANS APP N (N + 1)
Number System What should come in place of question mark (?)? 8 : 1 1 : : 72: 99 89 109 79 99 89 109 79 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99
Number System What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3? 70983 43883 43893 43983 70983 43883 43893 43983 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 74330 Largest30347 Smallest-------------43983
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