Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 824 920 625 712 824 920 625 712 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ? 660 840 720 780 660 840 720 780 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660
Number System What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3? 70983 43893 43883 43983 70983 43893 43883 43983 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 74330 Largest30347 Smallest-------------43983
Number System Which one of the following numbers is exactly divisible by 11? 245642 415624 235641 315624 245642 415624 235641 315624 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 In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is 725 750 640 775 725 750 640 775 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Failed students are 32% which is 248.∴ Total = 24800/32 = 775
Number System If a number is subtracted from its square we get 272. Find the number? 24 17 22 14 24 17 22 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 – x = 272 => x =17
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