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 ? 1/5 8/5 7/5 3/5 1/5 8/5 7/5 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
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1945 1955 1965 1975 1945 1955 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 Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 480 485 495 490 480 485 495 490 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System 450% of a number is 4725. What is 82% of that number ? 871 841 861 851 871 841 861 851 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861
Number System A trader sells 40 metres of cloth for Rs 8,200 at a profit of Rs 25 per metre of cloth. How much profit will the trader earn on 40 metres of cloth ? Rs. 800 Rs. 1,000 Rs. 600 Rs. 1,200 Rs. 800 Rs. 1,000 Rs. 600 Rs. 1,200 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP S.P. per metre = 8200/40 = Rs. 205∴ C.P. per metre = Rs. (205 - 25) = Rs. 180∴ C.P. of 40 metre cloth= Rs. (40 x 180) = Rs. 7200∴ Gain = Rs. (8200 - 7200) = Rs. 1000
EXAMIANS