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Method of Finding HCF

In Q.No. 7, H...

Question

In Q.No. 7, HCF (a, b) is

(a) pq
(b) p³q³
(c) p³q²
(d) p²q²

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Solution

Two positive integers are expressed as follows:

p and q are prime numbers.

Then, taking the smallest powers of p and q in the values for a and b we get

HCF

Hence the correct choice is (a).

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Q. If two positive ingeters a and b are expressible in the form a = pq² and b = p³q; p, q being prime number, then LCM (a, b) is

(a) pq
(b) p³q³
(c) p³q²
(d) p²q²

Q. If two positive integers m and n are expressible in the form m = pq³ and n = p³q², where p, q are prime numbers, then HCF (m, n) =
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In the given figure, O is the centre of the circle $∠ P B A = 45^{\circ}$ . The value of $∠ P Q B$ is

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