41. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio of the two numbers is 1 : 4 then larger of the two numbers is = ?
42. The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is = ?
43. The number of pairs of positive integers whose sum is 99 and HCF is 9 is = ?
44. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 am. The next time, when they would beep together at the earliest is = ?
45. 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 ?
46. Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll together and in what interval (seconds)?
47. A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is = ?
48. The difference between the greatest and least prime numbers which are less then 100 is = ?
49. The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is = ?
50. 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 ?
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