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# HackerRank HCF & LCM Quiz- 1

Question 1

Time: 00:00:00
The ratio between the ages of Amit and Modi is 7:9. LCM of their ages is 378. Find the difference between their ages

12

12

16

16

18

18

20

20

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Question 2

Time: 00:00:00
Find the least number when divided by 5, 7 and 8 leaves remainder 4 but when divided by 6 leaves a remainder 0

608

608

564

564

722

722

918

918

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Question 3

Time: 00:00:00
A cattle farmer needs to buy a cup to measure milk. He needs to measure exactly 960 ml, 540 ml and 120 ml. Find the greatest possible capacity of cup he can buy

20ml

20ml

60ml

60ml

30ml

30ml

120ml

120ml

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Question 4

Time: 00:00:00
Three numbers are in the ratio 2 : 4 : 7. Their LCM is 140. Find their HCF

2

2

12

12

7

7

5

5

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Question 5

Time: 00:00:00
The HCF of two numbers is 12 and their product is 720. Find the greater number

60

60

36

36

48

48

120

120

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Question 6

Time: 00:00:00
Find the LCM of $\frac{2}{3}, \frac{1}{4} and \frac{2}{5}$

4

4

8

8

2

2

10

10

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Question 7

Time: 00:00:00
Three cars BMW, Ferrari and Ford are racing in a closed lap continuously without break. BMW takes 40 seconds, Ferrari takes 30 seconds and Ford takes 55 seconds to complete a lap. Given that they all started simultaneously, after how many seconds will all 3 cars meet together at the starting point?

1280

1280

1320

1320

1360

1360

1410

1410

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Question 8

Time: 00:00:00
Four students whose ages are 6,  8, 10 and 12 are available for selection for a quiz competition in which only 3 can participate. Find the age of the student not to be chosen such that LCM of ages of selected students is minimum

6

6

8

8

10

10

12

12

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Question 9

Time: 00:00:00
The HCF of two numbers is 4 and their product is 880. Which of the following can be the smallest of these numbers?

44

44

220

220

60

60

20

20

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Question 10

Time: 00:00:00
A DJ hall where BTS performs has a red bulb which glows after every 3 minutes, green bulb which glows after every 5 minutes  and a blue bulb which glows after every 12 minutes. At 11pm, all three bulbs glow together. At what time will these bulbs glow together again?

11.58pm

11.58pm

12.00am

12.00am

11.40pm

11.40pm

12.12am

12.12am

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["0","40","60","80","100"]
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