IBPS Government Jobs Exams Numerical Ability Time and Work

P and Q completed a work together in 5 days. Had P worked at twice rate of itself and Q at half rate of itself they would take 4 days to complete the work. How much time would P take to do the whole work alone?
A) 10 days B) 20 days C) 25 days D) 15 days E) 24 days

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IBPS Other Question

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in to:
A) no loss no gain B) gain of Rs. 1/24 lakh C) loss of Rs. 1/12 lakh D) loss of Rs. 1/18 lakh E) None of these
Find the number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together.