Number System(LCM), Latest, Predicted Question Bank for upcoming competitive exams

Test Series Math — 18

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1. What is the LCM of 20, 30, 36, 40, 57, 60, 95, 126, 210, 380, 630 ?

2. What is the LCM of 0.2,0. 3, 0.36, 40, 0.57, 60, 0.95, 0.126, 0.210, 0.380, 63?

3. Find the greatest four-digit number which, when divided by 24, 36, 42 and 56 leaves a remainder 7 in each case.

4. When 15 or 16 dozens of bananas were packed in each box, three dozens were remaining. Therefore, bigger boxes were taken to pack 18 or 19 dozens of bananas. However, still three dozens of bananas remained. What was the least number of dozens of bananas to be packed?

5. Find the greatest number of five digits which must be added to 5,432 so that the final number becomes exactly divisible by 10, 12, 15, 20, 27, 30, 32 and 40.

6. A heap of stones can be made up into groups of 14. When made up into groups of 16, 10, 15 and 45, there are 3 stones left in each case. How many stones at least can there be in the heap?

7. What is the least multiple of 17, which leaves a remainder of 1 when divided by each of the first twelve integers excluding unity?

8. How many numbers can be written by using all the five digits 9,3,8,7,5 which are exactly divisible by 125?

9. Five bells toll at intervals of 16,18, 24, 30 and 36 minutes, respectively. If they start tolling together at 12 p.m., after what interval will they toll together again and how many times will they toll together in 8 hours?

10. After distributing a certain number of sweets equally among 684 children, we are left with 94 toffees. When the same number of toffees is distributed equally among 38 children, how many toffees are we going to be left with?

11. There are five gears making 100, 80 60, 36, and 24 rotations per minute. There is a red spot on the circumference of each of the gears. In the beginning, all the three red spots are together. After how much time will all the spots come together again?

12. Three girls start jogging from the same point around a circular track of 840 meters in circumference at the rates 40, 50, 60 meters per minute respectively. After how much time will they meet together for the first time?

13. The traffic lights of red, green and yellow, at three different signal points change after every 90 seconds, 150 seconds and 180 seconds respectively. If all change simultaneously at 5 : 15 : 25 hours, then they will change again simultaneously at

14. What is the LCM of

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