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    1.  Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
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    2.The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
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    3. Six bells commence tolling together and toll at intervals of 2, 4, 6, 810 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
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    4. Let N be the greatest number that will divide 1305, 4665 and 6905,leaving the same remainder in each case. Then sum of the digits in N is:
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    5.  The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
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    6.  The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
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    7.  Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
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    8.  The G.C.D. of 1.08, 0.36 and 0.9 is:
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    9.  The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
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    10.  The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
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    11.  Find the lowest common multiple of 24, 36 and 40.
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    12. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
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    13. Reduce 128352/238368 to iits lowest terms
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    14. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder3, but when divided by 9 leaves no remainder, is:
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    15. 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 in198 seconds, all starting at the same point. After what time will they again at the starting point ?
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    16.  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:
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    17.  What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
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    18.  The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
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    19.  The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
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    20.252 can be expressed as a product of primes as:
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    21.  The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
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    22.  Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
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    23.Find the highest common factor of 36 and 84.
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    24 Which of the following fraction is the largest ?
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    25.  The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
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    26.  The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
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    27.  Which of the following has the most number of divisors?
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    28.  The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
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    29. The HCF of 9/10, 12/25,18/35 and 21/40 is
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    30.  If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
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    31. Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11meter 25 cm and 7 meter 65 cm
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    32. the largest number of four digits which is exactly divisible by 27,18,12,15
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    33. Find the largest number which divides 62,132,237 to leave the same reminder
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    34  Find the greatest number which ondividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
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    35  LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
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    36. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
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  • 39
    37.Find the HCF of 23,46,827
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    38.Reduce568/575 to the lowest terms
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    39. Reduce803/876 to the lowest terms
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    40.Find the HCF of 54, 288, 360
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    41.If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.
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  • 44
    42. Anelectronic device makes a beep after every 60 sec. Another device makes a beepafter every 62 sec. They beeped together at 10 a.m. The time when they willnext make a beep together at the earliest, is
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    43. 10. Six bells commence tolling together and toll atthe intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times theywill toll together.
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    44 Findthe LCM of 2/3,4/6,8/27
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  • 47
    45.What will be the LCM of 8, 24, 36 and 54
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  • 48
    46 Find the HCF of 2.1, 1.05 and 0.63
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  • 49
    47  If LCM of two number is 693, HCF of twonumbers is 11 and one number is 99, then find other
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  • 50
    48  The greatest possible length which can beused to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
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  • 51
    49 The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of thenumbers is 144, find the other number
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  • 52
    50 Findthe greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 asremainders respectively
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