Number System In how many different ways can the letters of the word 'LEASE' be arranged ? 80 40 60 None of these 80 40 60 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60
Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1580 1480 1780 1680 1580 1480 1780 1680 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
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 3/5 1/5 8/5 7/5 3/5 1/5 8/5 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 An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ? 92/190 91/190 89/190 90/190 92/190 91/190 89/190 90/190 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190
Number System Write the next number in the series : 14, 16, 13, 17, 12, 18, 11 .... 7 15 1 19 7 15 1 19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 19
Number System On converting the following base-2 numeral in base ten, 1101101, we get 106 108 107 109 106 108 107 109 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
EXAMIANS