Number System What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ? 94 84 87 81 94 84 87 81 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP LCM of 10, 15, 25 = 150When we drive 2641 by 150 the remainder is 91.But the remainder should be 7.So, the number to be subtracted from 2641 is 91 - 7 = 84.
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 68 66 64 70 68 66 64 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System What least number shall be added to 4700 to make it a perfect square ? 71 61 91 81 71 61 91 81 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System 450% of a number is 4725. What is 82% of that number ? 851 871 861 841 851 871 861 841 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/5 5/4 3/10 4/5 3/5 5/4 3/10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 97 103 99 101 97 103 99 101 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.
EXAMIANS