Question

Assertion: Acrylic fibres are used in making socks and shawls. Reason: Acrylic fibres are a replacement for woolen fibres as they are cheaper than woolen fibres. *

a)Both assertion and reason are true and the reason is the correct explanation of assertion.

b)Both assertion and reason are true but the reason is not correct for the assertion.

c)The assertion is true but the reason is false.

d)The assertion is false but the reason is true.​

Answer 1

Explanation:

Given,

Number of army contingent members=616

Number of army band members = 32

If the two groups have to march in the same column, we have to find out the highest common factor between the two groups. HCF(616, 32), gives the maximum number of columns in which they can march.

By Using Euclid’s algorithm to find their HCF, we get,

Since, 616>32, therefore,

616 = 32 × 19 + 8

Since, 8 ≠ 0, therefore, taking 32 as new divisor, we have,

32 = 8 × 4 + 0

Now we have got remainder as 0, therefore, HCF (616, 32) = 8.

Hence, the maximum number of columns in which they can march is 8.

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