1. How many students from IIT Dhanbad got the placement?
Statement I : Number of students studying in IIT Dhanbad and IIT Kanpur are in the ratio of 3 : 4 respectively and 80% of the students studying in IIT Kanpur got placement.
Statement II : Number of students who got placement from IIT Kanpur is 120% of the number of students who got placement from IIT Dhanbad.

2. Virat’s income is how much more than Rohit’s income?
Statement I : Virat’s income is 30% less than his wife, whose provident fund deduction is Rs. 975 per month which is 5% of her monthly income.
Statement II : Rohit spends 30% of his income on house rent, 15% of which is accessory bill and Virat’s expenditure on house rent is Rs. 4500 more than that of Rohit’s.

3. Two trains A and B are travelling towards each other on the same track. The initial distance between them is 91 km. Find the time, when the two trains will collide.
Statement I : The speed of train A is 65km/h and the speed of B is 104 km/h more than that of train A.
Statement II : The ratio of speeds of the two trains is 5 : 13.

4. Find the amount of money invested by Jamnalal in the scheme?
Statement I : An increase in simple interest from 44/3% to 58/3% per annum increases his yearly income by 2800.
Statement II : The sum invested get doubled, when invested at 20% per annum for 5 years.

5. Pipe A and B can fill a tank at the rate of 12 and 10 litre per minute respectively. There is a leakage also in the same tank. What is the capacity of the tank?
Statement I : If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes and a leakage hole drains the pipe at the rate of 6 litres/minute.
Statement II : Due to the leak the filled tank drains in 15 hours 20 minutes. If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes.

6. What value should come in place of Question mark (?) in the following question?
6, 3.5, 4.5, 11, 48, ?

7. What value should come in place of Question mark (?) in the following question?
6, 16, 45 ,184 , 917 , ?

8. In bag A there are 5 red balls, X green balls and 7 yellow balls. Probability of drawing one green ball from bag A is 2/5. In bag B there are (X-3) red balls, (X-4) green balls and 6 yellow balls. 2 balls are drawn from bag B. Find the probability that both the balls are red colour?

9. A and B started business with Rs 600 and Rs 500 respectively. After 4 months, C replaces B with X% of B’s capital. After 1 year C’s share of profit out of the total profit 24000 is 5600. Find the value of X.

10. Radius of a cylinder is equal to the side of an equilateral triangle having area 16 3 cm² and height of the cylinder is equal to the perimeter of the triangle. Then find the volume of cylinder.

11. There are two vessels A and B having quantities milk and water. The ratio of quantities in vessel A and B is 13 : 11 and both of them have equal quantities of milk. The quantity of water in vessel A and vessel B is 40 L and 30 L respectively. The mixtures of both vessels are poured into vessel C. Find the ratio of milk and water in vessel C ?

12. A train is 216 m long and it crosses a platform in 19 seconds with speed 21 m/s. If some 21 m long boxes are added in train and it crosses same platform, then it takes 26 seconds to cross the platform with same speed. How many boxes were added to the train?

13. A can complete a work in 36 days. B is 33.33% more efficient than A. In how many days both complete the work if they work on alternate days starting with A?

14. A man invested Rs. 8000 in a scheme giving 20% p.a. compound interest for two year if the interest received from this scheme is 400% more than the interest on some other amount from another scheme giving 8% S.I. for 4 year. Find the total amount invested in both schemes.

15. Sum of present ages of A and B is 41, Age of A two year hence is equal to age of C one yea ago and Age of A four year hence is equal to age of B one year ago. If ratio of present age of A and D is 3 : 4. Find the difference between age of C and D.

16. Rakesh added 12% of his salary in PPF,3/8th of the remaining amount is spent on clothes and the difference between PPF and clothes expenses is Rs 10500. Remaining amount is spent on house rent and other expenses. If house rent expenses is Rs 1500 less than other expenses, then what is the house rent expenses?

17. Marked price of an article is 25% more than its selling price and the profit earned on selling the article is also 25%. The difference between, the profit and the difference between cost price & marked price is Rs 200, then find at what price article should be sell to make a profit of 37.5%?

18. What percent of the total weight of human body is equivalent to the weight of the proteins in skin in human body?

19. What will be the quantity of water in the body of a person weighing 50 kg?

20. What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones?

21. To show the distribution of proteins and other dry elements in the human body, the arc of the circle should subtend at the centre an angle of:

22. In the human body, what part is made of neither bones nor skin?

23. A man starts cycling at 12.00 a.m. at a speed of 5kmph. A train A , starts running on a track with a speed of 100kmph at 5.00 a.m. Another train B, starts running on the adjacent parallel track with a speed of 120 kmph at 7.00 am from the same station and in the same direction. Find the distance travelled by the man when the two trains meet.

24. Pipe A can fill a cistern in 36 minutes and B in 48 minutes. If both the pipes are simultaneously opened together , when should pipe B be closed so that the cistern maybe just full in 24minutes ?

25. How many words can be made by using the letters of the word FRIEND if all the vowels should be3 at even places and no letter is repeated or left ?

26. The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?

27. A certain sum is deposited at rate of 40% p.a on Compound interest. Difference between interest earned at the 1st and 2nd year is rs.384. What is the sum ?

28. One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 g of the acid is poured into the second test tube. Then, two-thirds of the so formed solution is poured from the second test tube into the first. If the fluid in the first test tube is four times that in second, what quantity of water was taken initially.

29. A shopkeeper marked up the price of an article 60% above the cost price. If he gives a successive discount of 15% and 10% on marked price, so that selling price of the article is rs.24480. Find the cost price.

30. In a family, the average age of father and mother is 29 years. If the average age of father, mother and their two sons is 20 years, then what is the age of elder son whose age is 2 years more than the younger one ?