GK Expert Team Solutions for Chapter: Practice Paper, Exercise 7: Set 2

A trader bought 10 kg of apples for Rs. 528. He also gets 1 kg extra apples from the shopkeeper. If he wishes to make a profit of 10% after giving a discount of 10% to the customer, what should be the list price (in rupees) per kg of apples?

Aman, Bairam, and Manav completed a job in 10 days. They worked together for 3 days in which they completed 37% of the total work. But due to unavoidable circumstances, Aman quits the job at this point. Work done by Bairam in 4 days is equal to the work done by Manav in 5 days. What is the time taken by the fastest worker to complete the whole work alone?

Three people A, B, C enter into a partnership. They put in some amounts for some time durations. At the end of the first year, they divided the profits among them in the ratio 1 : 1 : 1. In the second year, A reduced his amount by 20%, B increased the time duration by 20% and C did not change any of the two. If C received Rs. 1,000 as the profit share in the second year, what was the total profit distributed in the second year?

Distance between the towns P and Q is 300 km. A leaves at the speed of x km/hr from town P towards town Q. After three hours B leaves at the speed of (x + 10) km/hr from town Q towards town P. If x and the number of hours taken to meet after B starts are integers, how much distance can A cover before they meet?

A boat is moving in a lake. While going downstream, it crosses a wooden piece. After 1 hr, it reaches the port and starts travelling in the opposite direction. Now after moving for 1 hr, it crosses that wooden piece again, which is 8 km ahead of the place where it was encountered earlier. Find the velocity of the lake?

A sum of money is kept in a bank at 8% interest compounded annually. Had the interest been 10% compounded semi-annually, the amount after 1 year would have been Rs. 225 more. What was the principal amount kept in the bank?

There are three classes $X, Y$ and $Z$. The average age of the students of classes $X$ and $Y$ together is $20$ years. The average age of the student of classes $Y$ and $Z$ together is $35$ years. The average age of the students of classes $X$ and $Z$ together is $15$ years. The average of all the three classes can be:

A triangle has sides 10 cm, 17 cm, and 21 cm. A square is inscribed in the triangle. One side of the square lies on the longest side of the triangle. The other two vertices lie on the two shorter sides of the triangle. The length of the square is: