Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 06 Posted on July 10, 2020July 10, 2020 by admin Question 1A 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 2Two 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 3Let 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 4A 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 5In 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 6Three 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 Question 7 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 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 9From 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 10A 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 11Find 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 12On 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 13The LCM of 2/3,3/5,4/7,9/13 is = ? A. 36 B. 1/36 C. 1/1365 D. 12/455 Question 14 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 15What 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 16An 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 17The least perfect square which is divisible by each of 21, 36 and 66 is = ? A. 214344 B. 214434 C. 213444 D. 231444 Question 18The 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 19The smallest square number divisible by 10, 16 and 24 is ? A. 900 B. 1600 C. 2500 D. 3600 Question 20The 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