# LCM and HCF Questions and answers

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11). Find the least number of square tiles for a terrace of 6.75 mts. long and 5.40 mts. breadth.
 A). 20 B). 45 C). 135 D). None of these
12). Three persons A, B, C run along a circular path of 8 km. long. They start their race from the same point and at the same time with a speed of 4 km., 6 km., and 8 km. After what time will they meet again?
 A). 3 hrs. B). 1 hr. C). 4 hrs. D). $$\Large \frac{2}{3}$$ hrs.
13). Four bells toll at intervals of 2, 4, 8, 12 minutes respectively. If they start tolling together at 11 a.m. Find after what interval will they toll together and how many times they toll together in 8 hours.
 A). 6 times B). 7times C). 8 times D). 21 times
14). Find the least number which when divided by 18, 24, 32 leaves the remainder 4, 10 and 18 respectively.
 A). 274 B). 218 C). 284 D). 270
15). The product of two numbers is 216 and their HCF is 27, then the numbers are
 A). 80, 136 B). 76, 14 C). 96, 25 D). 27, 189

16). The LCM of two numbers is 2310 and their HCF is 30. If one number is 210, the other number is
 A). 16170 B). 2100 C). 1470 D). 330
17). The lease square which is divisible by 4, 12, 16 is
 A). 144 B). 400 C). 196 D). 225
18). The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the other number is
 A). 132 B). 33 C). 66 D). 264
19). The ratio of two numbers is 11 : 18 and their LCM is 41184. The numbers are
 A). 3744, 2288 B). 2288, 3744 C). 2652, 3062 D). None of the above.
20). The least number which when divided by 12, 1`5, 18 and 35 leaves the remainder 9 in each case is
 A). 1229 B). 1239 C). 1279 D). 1269
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