Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 7 5 6 4 7 5 6 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
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 On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 11 12 10 13 11 12 10 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 25 125 50 30 25 125 50 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System 7432 ÷ 32 x ? = 2787 41 21 78 12 41 21 78 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7432/32 x ? = 2787= ? = 2787 x 32/7432 = 12
Number System The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number? 39 69 59 49 39 69 59 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39
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