Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 42 46 24 26 42 46 24 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System The square root of 0.0081 is: 0.009 0.9 0.09 0.91 0.009 0.9 0.09 0.91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.09
Number System Which one of the following numbers is exactly divisible by 11? 235641 415624 315624 245642 235641 415624 315624 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 The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ? Rs. 945 Rs. 1054 Rs. 986 Rs. 926 Rs. 945 Rs. 1054 Rs. 986 Rs. 926 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054
Number System The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ? 2476 3289 4589 1760 2476 3289 4589 1760 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E/5 = 42∴ C = 42, ∴ B = 40, ∴ D = 44∴ B x D = 40 x 44 = 1760
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 99 97 101 103 99 97 101 103 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
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