Question

6. Klick has a camera that takes film that allows 24 exposures,whereas Snapp has a camera that takes film that allows 36 exposures.Both of them want to be able to to take the same number of photographs and complete their rolls of film. i. Minimum number of exposures that should be taken by each a) 24 b) 36 c) 72 d) 12 ii. Number of rolls Klick should buy a) 6 b) 3 c) 2 d) 12 iii. Number of rolls Snapp should buy a) 6 b) 3 c) 2 d) 12 iv. Which Mathematical concept was used in finding minimum number of exposures taken by each a) HCF b) LCM c) Neither HCF nor LCM d) Fundamental theorem of Arithmetic​

Answer 1

Given : Klick has a camera that takes film that allows 24 exposures, where as Snapp has a camera that takes film that allows 36 exposures. Both of them want to be able to to take the same number of photographs and complete their rolls of film.

To Find : Minimum number of exposures that should be taken by each

Solution:

24 exposures,  and 36 exposures

Need to find LCM

24 = 2 * 2 * 2 * 3

36 = 2 * 2 * 3 * 3

LCM = 2 * 2  * 2 * 3 * 3  = 72

Minimum number of exposures that should be taken by each  = 72

Number of rolls Klick should buy  - 72/24 = 3

Number of rolls Snapp should buy  = 72/36 = 2

concept was used in finding minimum number of exposures taken by each LCM

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Answer 2

Answer:

(i) (c)72

(ii) (b)3

(iii) (c)2

(iv) (b)LCM

Step-by-step explanation:

A simple trick to understand is

if it is been asked to find the minimum of anything then find the LCM.

if it is been asked to find the maximum of anything then find the HCF.

(i) in the question given above it is been asked to find the minimum number of exposures that should be taken. therefore, we should find the lcm.

after prime factorization

24 = 2×2×2×3

36 = 2×2×3×3

LCM = 2×2×2×3×3 = 72

therefore, minimum number of exposures that should be taken is 72.

(ii) since Klick is having a camera that takes film that allows 24 exposures, therefore he should buy 3 rolls

72/24 = 3

(iii) similarly Snapp is having a camera that takes film that allows 36 exposures, therefore, he should buy 2 rolls

72/36 = 2

(iv) LCM

HOPE IT WAS USEFUL..