# Cognizant LCM & HCF Quiz-1

Question 1

Time: 00:00:00
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:

55/501

55/501

120/11

120/11

11/120

11/120

12/55

12/55

Once you attempt the question then PrepInsta explanation will be displayed.

x+y=55 h.c.f=5 l.c.m=120 so......hcf*lcm / given number = 5*120 / 55 =120/11.....in question they are asking us resciprocal so the ans is.....11/120

11/120

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Question 2

Time: 00:00:00
The least perfect square, which is divisible by each of 21, 36 and 66 is

213444

213444

216452

216452

213546

213546

315489

315489

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Question 3

Time: 00:00:00
The LCM of three different numbers is 1024. Which one of the following can never be there HCF?

512

512

124

124

256

256

32

32

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All of the above will be the right answer.

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Question 4

Time: 00:00:00
If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other

12

12

45

45

77

77

33

33

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Question 5

Time: 00:00:00
Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm

67

67

45

45

129

129

87

87

Once you attempt the question then PrepInsta explanation will be displayed.

1575=5*5*3*3*7 1125=5*5*5*3*3 765=5*3*3*17 common factors=(5*3*3)=65

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Question 6

Time: 00:00:00
Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively?

91

91

140

140

127

127

137

137

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Question 7

Time: 00:00:00
Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds respectively. In 60 minutes how many times they will toll together?

33

33

30

30

31

31

16

16

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Question 8

Time: 00:00:00
There are three numbers, these 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. What will be the sum of three numbers :

8

8

32

32

85

85

256

256

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Question 9

Time: 00:00:00
A gardener had a number of plants to plant in rows. At first, he tried to plant 8, then 12, and then 16 in a row but he always had 3 plants left with him. On trying 17 plants he was left with none. Find the total minimum number of plants.

51

51

799

799

255

255

153

153

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Question 10

Time: 00:00:00
The smallest number which when divided by 20, 25, 35, and 40 leaves a remainder of 12, 17, 27, and 32 respectively is

1392

1392

1394

1394

1994

1994

1496

1496

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