Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1955 1945 1975 1965 1955 1945 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 What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4? 5084 6184 6048 6084 5084 6184 6048 6084 ANSWER DOWNLOAD EXAMIANS APP
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 4 7 6 5 4 7 6 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System 7432 ÷ 32 x ? = 2787 21 41 12 78 21 41 12 78 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12
Number System If 5/7 of a number is 145, what is 180% of that number ? 365.4 345.4 375.4 355.4 365.4 345.4 375.4 355.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
Number System If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 9/13 7/13 8/13 6/13 9/13 7/13 8/13 6/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
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