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# Hcf And Lcm Of Numbers MCQ

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Hcf And Lcm Of Numbers MCQ - Question 1

### Test the divisibility of the following numbers by 8 (i) 9364                         (ii) 2138 (iii) 36792                      (iv) 901674 (v) 136976                     (vi) 1580184

Hcf And Lcm Of Numbers MCQ - Question 2

### Test the divisibility of the following numbers by 11 (i) 3443                         (ii) 13728 (iii) 11366                      (iv) 137269 (v) 153109                     (vi) 8790322

Hcf And Lcm Of Numbers MCQ - Question 3

### 289/391 when reduced to the lowest terms is

Hcf And Lcm Of Numbers MCQ - Question 4

Find the greatest number which divides 134 and the 167 leaving 2 as remainder

Hcf And Lcm Of Numbers MCQ - Question 5

The HCF of two co-primes is

Hcf And Lcm Of Numbers MCQ - Question 6

If a, b are two co-primes, then their LCM is

Hcf And Lcm Of Numbers MCQ - Question 7

The product of two number is 2160 and their HCF is 12. The LCM of these numbers is

Hcf And Lcm Of Numbers MCQ - Question 8

Three bells toll together at intervals 9, 12, 15 minutes. They start tolling together. At what interval of time will they toll together again

Detailed Solution for Hcf And Lcm Of Numbers MCQ - Question 8

Three bells toll at intervals - 9min , 12 min and 15min.
So, if they start tolling together, they will ring together at LCM ( 9,12,15)
So, We have to find LCM of 9 , 12 and 15.
9 = 3×3
12 = 2×2×3
15 = 3×5
LCM (9, 12,15) = 3×3×2×2×5 = 180
So , the LCM of 9 , 12 and 15 is 180. The bells will toll together after 180 minutes or 3 hours.
Bells will toll together after 180 minutes or 3 hours.

Hcf And Lcm Of Numbers MCQ - Question 9

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

Detailed Solution for Hcf And Lcm Of Numbers MCQ - Question 9

Let the required numbers be x, 2x, 3x.
Then, their H.C.F =x. so, x= 12
Therefore, The numbers are 12, 24, 36

Hcf And Lcm Of Numbers MCQ - Question 10

The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above condition is

Detailed Solution for Hcf And Lcm Of Numbers MCQ - Question 10

Let the required numbers be 33a and 33b.
Then 33a +33b= 528 ⇒ a+b = 16.
Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).
Therefore, Required numbers are  (33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)
The number of such pairs is 4

Hcf And Lcm Of Numbers MCQ - Question 11

The product of two numbers is 4107. If the HCF of these numbers is 37 then the greatest number is

Hcf And Lcm Of Numbers MCQ - Question 12

Three numbers which are co-prime to each other are such that the product of first two is 551 and that of the last two is 1073. The sum of the three numbers is

Hcf And Lcm Of Numbers MCQ - Question 13

Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 2400. Their HCF is

Detailed Solution for Hcf And Lcm Of Numbers MCQ - Question 13

Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
So, 60x = 2400 or x = 40.
The numbers are (3 x 40), (4 x 40) and (5 x 40).
Hence, required H.C.F. = 40.

Hcf And Lcm Of Numbers MCQ - Question 14

The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio of the two numbers be 1 : 4, the larger of the two  numbers is

Hcf And Lcm Of Numbers MCQ - Question 15

If N is 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

Detailed Solution for Hcf And Lcm Of Numbers MCQ - Question 15

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Hcf And Lcm Of Numbers MCQ - Question 16

The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54. Is

Hcf And Lcm Of Numbers MCQ - Question 17

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

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