Number System One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number? 7 3 9 5 7 3 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x/2 – x/3 = 6=> x =63 + 6 = 9
Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 495 485 490 480 495 485 490 480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System The product of two successive numbers is 4556. Which of the following is the larger of the two numbers? 63 78 67 68 63 78 67 68 ANSWER DOWNLOAD EXAMIANS APP
Number System The peresent age of the father and the son are in the ratio of 8:3. After 12 years the ratio of their ages will be 2:1. What is the sum of the present age of the father and the son ? 69 years 66 years 68 years 67 years 69 years 66 years 68 years 67 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the present age of the father be 'x' and that of the son be 'y'. Then x/y = 8/3∴ 3x = 8y Further, x + 12/y + 12 = 2/1 ∴ x + 12 = 2y + 24 ∴ x - 2y = 12 ......(ii)From eqn (i) and (ii), x = 48, y = 18 ∴ sum = 66 yrs.
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 ? 7/5 8/5 1/5 3/5 7/5 8/5 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
Number System If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ? 6/9 3/9 4/9 5/9 6/9 3/9 4/9 5/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9
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