Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 14 Posted on July 10, 2020July 10, 2020 by admin Question 1The HCF of x6 - 1 and x4 + 2x3 - 2x1 - 1 is = ? A. x2 + 1 B. x - 1 C. x2 - 1 D. x + 1 Question 2Let x be the smallest number, which when added to 2000 make the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is = ? A. 6 B. 5 C. 7 D. 8 Question 3When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of beads Seeta had = ? A. 700 B. 720 C. 750 D. 780 Question 4A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12 then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants ? A. 485 B. 725 C. 845 D. None of these Question 5A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder ? A. 9 B. 1 C. 8 D. 3 Question 6Find the greatest number of 4 digits which when divided by 4, 5, 6, 7 and 8 leaves 1, 2, 3, 4 and 5 as remainders = ? A. 9237 B. 9240 C. 9840 D. 9999 Question 7Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively = ? A. 3002 B. 3013 C. 3024 D. 3036 Question 8Let x be the last number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0, the sum of digits of x is = ? A. 24 B. 21 C. 22 D. 18 Question 9Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11 = ? A. 115 B. 235 C. 247 D. 475 Question 10The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is = ? A. 1677 B. 1683 C. 2523 D. 3363