Number System If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 7/13 6/13 8/13 9/13 7/13 6/13 8/13 9/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 58 54 56 60 58 54 56 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
Number System 8988 / 8 / 4 = ? 4494 280.875 561.75 2247 4494 280.875 561.75 2247 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8988 * 1/8 * 1/4 = 2247/8 = 280.875
Number System A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? 51/340 58/340 39/340 45/340 51/340 58/340 39/340 45/340 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 4 + 6 + 7 = 17∴ n(S) = 17C1 = 680Two red balls can be selected from four red balls in 4C2 = 6 ways.and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.∴ P (E) = 13x6/680 = 39/340
Number System What is the difference between the largest and the smallest number written with 7, 7, 0, 7? 6993 6093 6893 693 6993 6093 6893 693 ANSWER DOWNLOAD EXAMIANS APP
Number System The product of two consecutive odd numbers is 6723. Find is the greater number. 85 77 80 83 85 77 80 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83
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