1. 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?
2. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
3. The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:
4. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
5. 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 starting point?
6. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
7. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
8. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
9. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
10. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
11. If the product of two numbers is 2496 and HCF is 8,then the ratio of HCF and LCM is
12. The greatest possible length which can be used to measure exactly the lengths 1m 92cm,3m 84cm ,23m 4cm
13. HCF of 4/3, 8/6, 36/63 and 20/42 |
14. Find the LCM of 3/8, 9/32, 33/48, 18/72
15. The HCF of 2511 and 3402 is
16. If m and n are two whole numbers and if m^n= 49. Find n^m, given that n ≠ 1
17. What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30?
18. HCF and LCM of two numbers are 11 and 385 .If one number lies between 75 and 125 then that number is
19. If the L.C.M of x and y is z, their H.C.F is
20. A rectangular courtyard 140cm long 525cm 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?
21. Two containers contain 50 and 125 litres of water respectively. Find the maximum capacity of a container which can measure the water in each container an exact number of times(in litres)
22. Two baskets contain 183 and 242 Apples respectively, which are distributed in equal number among children. Find the largest number of apples that can be given, so that 3 apples are left over from the first basket and 2 from the second.
23. A person has 3 bars whose length are 12,16,24m respectively. He want to cuts the longest possible pieces, all of the same length from each of the 3 bars, what is the length of the each piece, if he is cut without any wastage
24. Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds resp. In 60 minutes how many times they will toll together.
25. In a seminar the number of participants in Technology, Economics and Science are 150, 90 and 180 respectively. Find the minimum number of rooms required, where in each room the same number of participants are to be seated and all of them being in the same subject. |
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1. Answer – D (16)
2. Answer – D (364)
3. Answer – B (15110) (108 – 98) = 10 & (140 – 130) = 10.
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8. Answer – C (111)
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