**1.Pipe A with half of its efficiency and pipe B with double its efficiency can fill a tank in 3 minutes. Find the time taken by pipe B and pipe D together to fill the tank.**

**Statement l: Pipe A, pipe C and pipe D together can fill the tank in 5 minutes. Efficiency of pipe C is half of the efficiency of pipe D.**

**Statement Il: Efficiency of pipe B is equal to the efficiency of pipe A and pipe D together. **

**2.What is length of train X?**

** Statement l: Train P crosses a platform of length 250 meter and a pole in 31.25 sec and 18.75 sec respectively, Train X running in opposite direction with respect to train P, at speed more than that of train P crosses it in 16.5 sec.**

** Statement Il: Train X crosses a platform of length 225 meter and train R having length 480 meter running in opposite direction in 225 sec and 186 sec respectively**

**3.A man with a boat covers certain distance from point A to point B. He covers 20 km downstream at the speed of 15 km/hr but the remaining distance is covered by him with an increased speed and thus reaches point B at 04:00 p.m. Find the increased speed to cover the remaining distance downstream.**

**Statement l: If the upstream distance from point B to point A is covered by the boatman at upstream speed of 12 km/hr in 4 hours 10 minutes.**

** Statement Il: The speed of stream is 1.5 km/hr and the time at which the boatman starts from point A is 01:00 p.m. while travelling downstream.**

**4.A shopkeeper sells two articles X and Y. The sum of the cost price of the two articles is Rs. 5280. Find the cost price of both articles.**

**Statement l: Profit of 12% was incurred on article X and sum of the selling prices of the two articles is Rs. 5649.5312. The selling price of article Y is Rs. 2080.**

**Statement Il: Article X was sold at 12% profit and another article Y was sold at 10% loss. The overall profit earned by the shopkeeper is 7%**

**5.Out of total employees 50 like Badminton, 40 like chess and 45 like Football, then how many employees like only one game out of given 3 games?**

**l) Out of total number of employees 40% like Chess and number of employees who like both Football and Badminton only is 10 and number of employees who like both Football and Chess only is 15.**

**Il) There are total 100 employees in the company and no employee like all 3 games, number of employees like both Football and Chess only is 15. Number of employees like both Football and Badminton only is equal to the number of employees who like both Badminton and Chess only. **

**6.Out of total number of students 40% like Vanilla ice cream,80% like Butterscotch ice cream and 55% like Strawberry ice cream. How many students like all 3 types of ice creams?**

**l) Total number of students is 600 and 5% out of total number of students like only Vanilla and Strawberry ice creams. 70 students like only Vanilla ice creams.**

**Il) 140 students like only strawberry ice creams and 40 students like only Butterscotch and Strawberry ice creams. 50% students like only Butterscotch ice cream**

**7.Out of total number of students 40% like Vanilla ice cream,80% like Butterscotch ice cream and 55% like Strawberry ice cream. How many students like all 3 types of ice creams?
l) Total number of students is 600 and 5% out of total number of students like only Vanilla and Strawberry ice creams. 70 students like only Vanilla ice creams.
Il) 140 students like only strawberry ice creams and 40 students like only Butterscotch and Strawberry ice creams. 50% students like only Butterscotch ice cream
a) The data in statement I alone are sufficient to answer the question, while the data in statement Il alone are not sufficient to answer the question
b) The data in statement Il alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
c) The data either in statement I alone or in statement Il alone are sufficient to answer the question
d) The data given in both statements I and Il together are not sufficient to answer the question
e) The data in both statements I and Il together are necessary to answer the question. **