Before solving the questions do revise :
Definition and Formula:
http://arithmophobia-elixir.blogspot.in/2014/07/basic-facts-and-formula.html
Methods to find HCF & LCM:
http://arithmophobia-elixir.blogspot.in/2014/07/hcf-and-lcm.html
Part-A has easier questions compared to Part-B
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Part-A
(1) Find the HCF and LCM of 2/3 , 8/9, 16/81 and 10/27
(2) Find the HCF and LCM of 0.63, 1.05 and 2.1
(3) The HCF of two numbers is 11 and their LCM is 693. If one of the numbers is 77, find the other.
(4) Find the greatest possible length which can be used to measure exactly the lengths 4m 95 cm, 9m and
16m 65 cm.
(5) Find the greatest numbers which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.
(6) Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.
(7) Find the smallest number of five digits exactly divisible by 16, 24, 36 and 54.
(8) Which of the following has most number of divisors.
(a) 99 (b) 101 (c) 176 (d) 182
(9) The number of number-pairs lying between 40 and 100 with their HCF as 15 is:
(a) 3 (b) 4 (c) 5 (d) 6
(10) The product of two numbers is 2028 and their HCF is 13. The number of such pairs is :
(a) 1 (b) 2 (c) 3 (d) 4
Checkout the answers and solutions at http://arithmophobia-elixir.blogspot.in/2014/07/solutions-hcf-lcm-part-a.html
Part-B
(11) Three numbers which are co-prime to each other are such that the product of first two is 551
and that of last two is 1073. The sum of the three numbers is:
(a) 75 (b) 81 (c) 85 (d) 89
(12) Three numbers are in the ratio of 3:4:5 and their LCM is 2400. Their HCF is:
(a) 40 (b) 80 (c)120 (d) 200
(13) The sum of two numbers is 2000 and their LCM is 21879. The two numbers are:
(a) 1993, 7 (b) 1991, 9 (c) 1989, 11 (d) 1987, 13
(14) The LCM of three different numbers is 120. Which of the following cannot be their HCF ?
(a) 8 (b) 12 (c) 24 (d) 35
(15) The smallest number which when diminished by 7, is divisible by each one of 12, 16, 18, 21 and
28 is :
(a) 1008 (b) 1015 (c) 1022 (d) 1032
(16) The smallest number which when increased by 5, is divisible by each one of 24, 32, 36 and
54 is:
(a) 427 (b) 859 (c) 869 (d) 4320
(17) The 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 numbers of pencils is:
(a) 91 (b) 910 (c) 1001 (d) 1911
(18) Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes how many times do they toll together?
(a) 4 (b) 10 (c) 15 (d) 16
(19) Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:
(a) 12 a.m. (b) 3 a.m. (c) 6 a.m. (d) 9 a.m.
(20) A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point.
After what time will they meet again at the same point ?
(a) 26 min 18 sec (b) 42 min 36 sec (c) 45 min (d) 46 min 12 sec
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