The Following Section consists of Maths MCQ on HCF and LCM.
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HCF & LCM
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Question 1 of 20
1. Question
1 pointsFind the H.C.F.of 23*32*5*7 , 22*35*52*73 , 23*53*72
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Question 2 of 20
2. Question
1 pointsFind the H.C.F. of 108, 288 and 360
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Question 3 of 20
3. Question
1 pointsFind the L.C.M. of 72, 108 and 2100.
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Question 4 of 20
4. Question
1 pointsThe H.C.F. and L.C.M. of 0.63, 1.05 and 2.1
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Question 5 of 20
5. Question
1 pointsTheH.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other
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Question 6 of 20
6. Question
1 pointsTwo numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers
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Question 7 of 20
7. Question
1 pointsFind the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.
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Question 8 of 20
8. Question
1 pointsFind the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.
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Question 9 of 20
9. Question
1 pointsFind the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
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Question 10 of 20
10. Question
1 pointsFind the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case
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Question 11 of 20
11. Question
1 pointsFind the largest number of four digits exactly divisible by 12,15,18 and 27.
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Question 12 of 20
12. Question
1 pointsFind the smallest number of five digits exactly divisible by 16,24,36 and 54.
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Question 13 of 20
13. Question
1 pointsFind the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively
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Question 14 of 20
14. Question
1 pointsFind the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder
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Question 15 of 20
15. Question
1 pointsThe traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change simultaneously .
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Question 16 of 20
16. Question
1 pointsFind the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
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Question 17 of 20
17. Question
1 pointsThe 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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Question 18 of 20
18. Question
1 pointsSix 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 ?
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Question 19 of 20
19. Question
1 pointsLet 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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Question 20 of 20
20. Question
1 pointsThe greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
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HCF & LCM 2
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Question 1 of 20
1. Question
1 pointsThe product of two 2 digit numbers is 2028 and their HCF is 13. What are the numbers ?
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Question 2 of 20
2. Question
1 pointsN is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
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Question 3 of 20
3. Question
1 pointsReduce 4329 4662 to its lowest terms
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Question 4 of 20
4. Question
1 pointsWhat is the greatest number which divides 24, 28 and 34 and leaves the same remainder in each case?
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Question 5 of 20
5. Question
1 pointsSix bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ?
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Question 6 of 20
6. Question
1 pointsWhat is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?
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Question 7 of 20
7. Question
1 pointsThe HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?
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Question 8 of 20
8. Question
1 pointsTwo numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
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Question 9 of 20
9. Question
1 pointsWhat is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
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Question 10 of 20
10. Question
1 pointsThree numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
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Question 11 of 20
11. Question
1 pointsWhat is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
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Question 12 of 20
12. Question
1 pointsThe H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
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Question 13 of 20
13. Question
1 pointsWhat is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
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Question 14 of 20
14. Question
1 pointsWhat is the lowest common multiple of 12, 36 and 20?
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Question 15 of 20
15. Question
1 pointsThe product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?
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Question 16 of 20
16. Question
1 pointsA boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?
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Question 17 of 20
17. Question
1 pointsFind the greatest common divisor of 24 and 16
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Question 18 of 20
18. Question
1 pointsA, 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 again at the starting point ?
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Question 19 of 20
19. Question
1 pointsThe ratio of two numbers is 4 : 5. If the HCF of these numbers is 6, what is their LCM?
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Question 20 of 20
20. Question
1 pointsWhat is the HCF of 2.04, 0.24 and 0.8 ?
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HCF & LCM 3
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Question 1 of 19
1. Question
1 pointsThe 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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Question 2 of 19
2. Question
1 pointsThree numbers which are coprime 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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Question 3 of 19
3. Question
1 pointsWhat will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
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Question 4 of 19
4. Question
1 pointsThe 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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Question 5 of 19
5. Question
1 pointsFind the lowest common multiple of 24, 36 and 40.
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Question 6 of 19
6. Question
1 pointsThe G.C.D. of 1.08, 0.36 and 0.9 is
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Question 7 of 19
7. Question
1 pointsWhat is the LCM of 2 3 , 5 6 and 4 9
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Question 8 of 19
8. Question
1 pointsThree numbers which are coprime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?
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Question 9 of 19
9. Question
1 pointsWhich of the following has the most number of divisors?
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Question 10 of 19
10. Question
1 pointsThe 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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Question 11 of 19
11. Question
1 pointsThree numbers which are coprime 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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Question 12 of 19
12. Question
1 pointsFind the highest common factor of 36 and 84.
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Question 13 of 19
13. Question
1 pointsThe least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
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Question 14 of 19
14. Question
1 pointsThe 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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Question 15 of 19
15. Question
1 pointsThe ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
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Question 16 of 19
16. Question
1 pointsThe smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
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Question 17 of 19
17. Question
1 points252 can be expressed as a product of primes as:
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Question 18 of 19
18. Question
1 pointsThree 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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Question 19 of 19
19. Question
1 pointsWhich of the following fraction is the largest ?
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HCF & LCM 4
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Question 1 of 20
1. Question
1 pointsThe greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
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Question 2 of 20
2. Question
1 pointsFind the HCF of 54, 288, 360
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Question 3 of 20
3. Question
1 pointsWhat will be the LCM of 8, 24, 36 and 54
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Question 4 of 20
4. Question
1 pointsIf LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other
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Question 5 of 20
5. Question
1 pointsLCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
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Question 6 of 20
6. Question
1 pointsWhich greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
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Question 7 of 20
7. Question
1 pointsFind the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
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Question 8 of 20
8. Question
1 pointsFind the largest number which divides 62,132,237 to leave the same reminder
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Question 9 of 20
9. Question
1 pointsFind the largest number of four digits which is exactly divisible by 27,18,12,15
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Question 10 of 20
10. Question
1 pointsSix bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.
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Question 11 of 20
11. Question
1 pointsAn electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is
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Question 12 of 20
12. Question
1 pointsThe H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number
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Question 13 of 20
13. Question
1 pointsFind the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively
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Question 14 of 20
14. Question
1 pointsIf the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.
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Question 15 of 20
15. Question
1 pointsA man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was:.
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Question 16 of 20
16. Question
1 pointsA man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit percent is .
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Question 17 of 20
17. Question
1 pointsA retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 300. The profit percent of the retailer is:.
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Question 18 of 20
18. Question
1 pointsBy mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is: ..
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Question 19 of 20
19. Question
1 pointsA man sells two houses at the rate of Rs. 1.995 lakh each. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction Is :.
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Question 20 of 20
20. Question
1 pointsA man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy? ..
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HCF and LCM are two fundamental concepts in elementary maths and are taught in the primary level. Interestingly, these two concepts remain equally relevant in various professional exams, including banking. The HCF and LCM questions are based on the ongoing trends in the competitive exams in the country. Following this pattern proves helpful for career aspirants in ways more than one.