Question

8. Which greatest number will divide 3026 and 5053, leaving remainders 11 and 13 respectively?
9. There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that each row contains the same number of fruits of only one type. What is the minimum number of rows required to arrange the fruits?​

Answer 1

it's question no. 1

question no.2- Minimum number of rows = Maximum number of fruits in each row

∴ HCF of 24, 36 and 60 = 12

∴ Minimum number of rows =

24

+

36

+

60

12 12 12

Hence , Minimum number of rows = 2 + 3 + 5 = 10

Answer 2

Answer:

Step-by-step explanation:

8.

3026–11 = 3015

5053–13 = 5040

Next find the prime factors of

3015 = 3x3x5x67

5040 = 2x2x2x2x3x3x5x7

Next find the HCF of 3026 and 5040, which is 15.

The answer is 15.

Check. 3026/15 =201 as quotient and 11 as remainder

5053/15 = 336 as quotient and 13 as remainder

9. ∴ HCF of 24, 36 and 60 = 12

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