Number System Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. 9565 9974 9125 None of these 9565 9974 9125 None of these 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 80 40 44 88 80 40 44 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
Number System 35 + 15 * 1.5 = ? 51.5 57.5 75 5.25 51.5 57.5 75 5.25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1945 1965 1975 1955 1945 1965 1975 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System 5525 ÷ 17 = √? 99225 112225 105625 93025 99225 112225 105625 93025 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √? = 5525/17 = 325∴ ? = (325)² = 105625
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