# HCM & LCM Quiz – 1

Question 1

Time: 00:00:00
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case

4

4

7

7

9

9

13

13

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Question 2

Time: 00:00:00
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:

276

276

299

299

322

322

345

345

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Question 3

Time: 00:00:00
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?

4

4

10

10

15

15

16

16

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Question 4

Time: 00:00:00
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:

4

4

5

5

6

6

8

8

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Question 5

Time: 00:00:00
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

40

40

80

80

120

120

200

200

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Question 6

Time: 00:00:00
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

3

3

13

13

23

23

33

33

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Question 7

Time: 00:00:00
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 again at the starting point ?

26 minutes and 18 seconds

26 minutes and 18 seconds

42 minutes and 36 seconds

42 minutes and 36 seconds

45 minutes

45 minutes

46 minutes and 12 seconds

46 minutes and 12 seconds

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Question 8

Time: 00:00:00
How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080?

8

8

7

7

9

9

12

12

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Question 9

Time: 00:00:00
Sum of two numbers x, y = 1050. What is the maximum value of the HCF between x and y?

350

350

700

700

1050

1050

525

525

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Question 10

Time: 00:00:00
6 different sweet varieties of count 32, 216, 136, 88, 184, 120 were ordered for a particular occasion. They need to be packed in such a way that each box has the same variety of sweet and the number of sweets in each box is also the same. What is the minimum number of boxes required to pack?

129

129

64

64

48

48

97

97

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