Number System If 35% of a number is 899.5, what is 68% of that number ? 1847.6 1747.6 1547.6 2247.6 1847.6 1747.6 1547.6 2247.6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Suppose the number is x.Then 35% of x = 899.5∴ 68% of x = 68/35 x 899.5 = 1747.6
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 55 45 35 65 55 45 35 65 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System Find the number which multiplied by 15 is increased by 196. 20 26 28 14 20 26 28 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,15x - x = 196x = 14
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/10 5/4 3/5 4/5 3/10 5/4 3/5 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 An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ? 91/190 89/190 92/190 90/190 91/190 89/190 92/190 90/190 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 252 344 296 388 252 344 296 388 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
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