Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 3/4 2/7 7/5 1/9 3/4 2/7 7/5 1/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 82.5 84.5 85.5 83.5 82.5 84.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System Supply the missing figure : 2, 6, 12, 20, 30 ... 56 41 40 42 39 41 40 42 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 42
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 99 97 103 101 99 97 103 101 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.
Number System Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. None of these 9125 9565 9974 None of these 9125 9565 9974 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 40 44 80 88 40 44 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
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