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 3/5 7/5 1/5 8/5 3/5 7/5 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 When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 46 45 47 44 46 45 47 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
Number System A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ? 37/52 32/51 31/58 34/55 37/52 32/51 31/58 34/55 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 724 673 636 845 724 673 636 845 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100 = 636
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
Number System Pick the wrong number from the given number series. 3,4,10,33,135,685,4116 135 33 685 10 135 33 685 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The correct number is 136.3 x 1 + 1 = 44 x 2 + 2 = 1010 x 3 + 3 = 3333 x 4 + 4 = 136136 x 5 + 5 = 685685 x 6 + 6 = 4116
EXAMIANS