Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 11 Posted on July 10, 2020July 10, 2020 by admin Question 1The least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad is = ? A. 656 B. 738 C. 814 D. 902 Question 2The traffic lights at three different road crossings change after 24 seconds, 36 seconds, and 54 seconds respectively. If they all change simultaneously at 10:15:00 AM, then at what time will they again change simultaneously ? A. 10:16:54 AM B. 10:18:36 Am C. 10:17:02 AM D. 10:22:12 AM Question 3The LCM of three different numbers is 120. Which of the following cannot be their HCF? A. 8 B. 12 C. 24 D. 35 Question 4A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively ? A. 15 and 228 B. 9 and 380 C. 45 and 76 D. 46 and 75 Question 5Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ? A. 27 B. 36 C. 43 D. 480 Question 6A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ? A. 34 B. 44 C. 46 D. None of these Question 7Three sets of English , Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stakes will be ? A. 14 B. 21 C. 22 D. 48 Question 8The greatest 4-digit number exactly divisible by 10, 15, 20 is = ? A. 9990 B. 9960 C. 9980 D. 9995 Question 9The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is = ? A. 91 B. 910 C. 1001 D. 1911 Question 10 Find the HCF of 3/4,5/6 and 6/7 = ? A. 5/14 B. 1/84 C. 1/63 D. 1/168