Q71 of 128 Page 224

State whether the statements are true (T) or false (F).

Common factor of 11pq2, 121p2q3, 1331p2q is 11p2q2.

Common factors of 11pq2, 121p2q3 and 1331p2q can be found out as:

Common factors (11pq2, 121p2q3, 1331p2q) = Common factors (11×pq, 11×11p2q3, 11×121p2q)


⇒ Common factors (11pq2, 121p2q3, 1331p2q) = 11


[∵, 11 divides all the three term 11pq2, 121p2q3 and 1331p2q; p divides all the three terms 11pq2, 121p2q3 and 1331p2q; and q divides all the three terms 11pq2, 121p2q3 and 1331p2q]


Hence, the statement is false.


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