Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1945 1965 1955 1975 1945 1965 1955 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 If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 7 10 8 9 7 10 8 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number? 65 78 34 23 65 78 34 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65
Number System ?2704 x ?2209=? 3444 4444 2444 1444 3444 4444 2444 1444 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2444
Number System On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 11 13 10 12 11 13 10 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 8/5 7/5 1/5 3/5 8/5 7/5 1/5 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
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