Delhi Police Constable Exam Model Paper 6

Given:
BP = 5AP,
AC = 54
Formula:
If, ΔABC∼ΔPQR, then
AB/PQ = BC/QR = AC/PR
Calculation:
BP = 5AP
⇒ AB = AP + BP
⇒ AB = AP + 5AP
⇒ AB = 6AP
In ΔABC and ΔPQA
As, PQ||BC hence ΔABC∼ΔPQA
Now, AP/AB = AQ/AC
⇒ AP/6AP = AQ/48
⇒ 1/6 = AQ/54
⇒ AQ = 54/6
⇒ AQ = 9 cm