Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 06 Posted on July 10, 2020July 10, 2020 by admin Question 1Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is = ? A. 3 B. 5 C. 4 D. 6 Question 2The smallest square number divisible by 10, 16 and 24 is ? A. 900 B. 1600 C. 2500 D. 3600 Question 3A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4? A. 1/5 B. 5/6 C. 4/5 D. None of these Question 4An urn contains 6 red, 5 blue and 2 green marbles. If three marbles are picked at random, what is the probability that at least one is blue? A. 28/143 B. 11/597 C. 28/197 D. 115/143 Question 5On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face is 8. What is the probability that the first throw of dice yields 4? A. 2/36 B. 1/36 C. 1/6 D. 1/5 Question 6The G.C.D. (greatest common divisor) of 1.08, 0.36, 0.9 is = ? A. 0.03 B. 0.9 C. 0.18 D. 0.108 Question 7The least perfect square which is divisible by each of 21, 36 and 66 is = ? A. 214344 B. 214434 C. 213444 D. 231444 Question 8HCF of 3240, 3600, and a third number is 36 and their LCM is 24 × 35 × 52 × 72 . The third number is = ? A. 2*2 × 3*5 × 7*2 B. 2*2 × 5*3 × 7*2 C. 2*5 × 5*2 × 7*2 D. 2*3 × 3*5 × 7*2 Question 9Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion? A. 3 to 2 B. 5 to 2 C. 6 to 1 D. 33 to 7 Question 10 The HCF of 9/10,12/25,18/35 and 21/40 is = ? A. 3/5 B. 252/5 C. 3/1400 D. 63/700 Question 11In a charity show tickets numbered consecutively from 101 through 350 are placed in a box.What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2? A. 0.285 B. 0.40 C. 100/249 D. 99/250 Question 12A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be: A. 343/1728 B. 21/36 C. 12/35 D. 7/44 Question 13What is the probability that a number selected from numbers 1, 2, 3, ......, 30, is prime number, when each of the given numbers is equally likely to be selected? A. 9/30 B. 8/30 C. 10/30 D. 11/30 Question 14Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together. A. 1/7 B. 3/5 C. 5/11 D. 1/5 Question 15 From a point on a circular track 5km long A,B and C started running in the same direction at the same time with speed of 2*1/2 km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after ? A. 30 hours B. 6 hours C. 10 hours D. 15 hours Question 16A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack? A. 4/13 B. 2/13 C. 6/13 D. 9/13 Question 17From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack? A. 19/5525 B. 21/5525 C. 17/5525 D. 16/5525 Question 18The LCM of 2/3,3/5,4/7,9/13 is = ? A. 36 B. 1/36 C. 1/1365 D. 12/455 Question 19The H.C.F. of a/b,c/d,e/f is equal to = ? A. LCM of a,c,e /HCF of b,d.f B. HCF of a,c,e/ LCM of b,d,f C. HCF of a,c,e/HCF of b,d.f D. ace/bdf Question 20Three numbers which are co-prime to one another are such that product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is = ? A. 75 B. 81 C. 85 D. 89