LCM and HCF
LCM and HCF - Important Points
| 16. | The product of L.C.M. and H.C.F. of two numbers is 4107. If the H.C.F. of these numbers is 37, then the smaller number is: |
|---|
A. 19
B. 23
C. 37
D. 89
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Let the numbers be 37a and 37b.
Then, 37a x 37b = 4107 => ab = 3.
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).
Therefore, Smaller number = 37.
| 17. | The greatest four digit number which when divided by 15, 50, 80 and 75 leaves no remainder, is: |
|---|
A. 9200
B. 9460
C. 9600
D. 9650
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Greatest number of 4-digits is 9999.
L.C.M. of 15, 50, 80 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
| 18. | The greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case, is: |
|---|
A. 1105
B. 1250
C. 1200
D. 1120
View Answer Discuss Work SpaceAnswer: option d
Explanation:
| 19. | Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. How many times do they toll together in 1 hour ? |
|---|
A. 32
B. 30
C. 29
D. 31
View Answer Discuss Work SpaceAnswer: option d
Explanation:
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
So, the bells will toll together after every 120 seconds(2 minutes).
In 60 minutes, they will toll together 60/2 + 1 = 31 times
| 20. | The greatest number that divides 43, 91 and 183 so as to leave the same remainder in each case,is: |
|---|
A. 4
B. 13
C. 7
D. 11
View Answer Discuss Work SpaceAnswer: option a
Explanation:
LCM and HCF Questions and Answers FAQ
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