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Q2. The ratio of two numbers is 13 : 15 and their L.C.M. is 39780. The numbers are
(a) 884, 1020
(b) 884, 1040
(c) 670, 1340
(d) 2652, 3060
Q3. The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is
Q4. If H.C.F. of p and q is x and q = xy, then the L.C.M. of p and q is
Q5. The H.C.F. and L.C.M. of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, the two numbers are
(a) 273, 357
(b) 273, 359
(c) 273, 361
(d) 273, 363
Q6. A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?
(a) 14 cm
(b) 21 cm
(c) 42 cm
(d) None of these
Q7. The greatest number which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is
Q8. 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?
Q9. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
(a) 2 minutes 20 seconds
(b) 2 minutes 24 seconds
(c) 3 minutes 36 seconds
(d) 4 minutes 12 seconds
Q10. The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7 : 20 : 15 hours, then they will change again simultaneously at
(a) 7 : 28 : 00 hours
(b) 7 : 27 : 45 hours
(c) 7 : 27 : 30 hours
(d) 7 : 27 : 50 hours
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