1) Lucknow bound Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest chair cars. During one journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?

• (a) 78
• (b) 73
• (c) 72
• (d) None of these

2) Shobha’s Mathematics test had 75 problems i.e., 10 Arithmetic, 30 Algebra and 35 geometry problems. Although she answered 70% of the Arithmetic, 40% of the Algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to earn a 60% passing grade?

• (a) 4
• (b) 5
• (c) 6
• (d) 7

3) At IIM Bangalore, 60% of the students are boys and the rest are girls. Further 15% of the boys and 7.5% of the girls are getting a fee waiver. If the number of those getting a fee waiver is 90, find the total number of students getting 50% concession if it is given that 50% of those not getting a fee waiver are eligible to get half fee concession?

• (a) 360
• (b) 280
• (c) 320
• (d) 330

4) A and B have some guavas divided among themselves. A says to B “If I give you 25% of the guavas I have, I will still have 2 more guavas than you have.” To this, B says “If you give me guavas equal to 70% of what I have now, I will have 4 more guavas than you have.” What is the total number of guavas that they have?

• (a) 80
• (b) 64
• (c) 36
• (d) 88

5) Ram prepares solutions of alcohol in water according to customers' needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

• (a) 5
• (b) 9
• (c) 10
• (d) 12

6) In every month Ravindra consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs 350? Given that the price of rice and consumption of wheat is constant:

• (a) 36%
• (b) 40%
• (c) 25%
• (d) 24%

7) My friend Siddhartha Ghosh is working in the Life Insurance Corporation of India (LIC). He was hired on the basis of commission and he got the bonus only on the first year’s commission. He got the policies of Rs 2 lakh with maturity period of 10 years. His commission in each of the first, second, third, fourth and for the rest of the years is 20%, 16%, 12%, 10% and 4% respectively. The bonus is 25% of the commission. If the annual premium is Rs 20,000 then what is his total commission if the completion of the maturity of all the policies is mandatory:

• (a) Rs 17,400
• (b) Rs 23,600
• (c) Rs 15,000
• (d) Rs 15,500

8) Mr. A is a computer programmer. He is assigned three jobs for which time allotted is in the ratio of 5 : 4 : 2 (job are needed to be done individually). But due to some technical snag, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30%, 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time allotted is the time invested by A.

• (a) 38.33%
• (b) 39.4545%
• (c) 32.72%
• (d) 36.66%

9) An index of 12 shares contains, among others, the shares of Reliance, HLL and Infosys with weightage of 7%, 13% and 15% respectively. What is the increase in the prices of other shares, if these three rise by 9%, 10% and 4% respectively, while the index rises by 6%?

• (a) 5.34%
• (b) 4.91%
• (c) 4.58%
• (d) Cannot be determined

10) A 14.4 kg gas cylinder runs for 104 hours when the smaller burner on the gas stove is fully opened while it runs for 80 hours when the larger burner on the gas stove is fully opened. Which of these values are the closest to the percentage difference in the usage of gas per hour, between the smaller and the larger burner?

• (a) 26.23%
• (b) 30%
• (c) 32.23%
• (d) 23.07%

11) Krishan Iyer, a motorist uses 24% of his fuel in covering the first 20% of his total journey (in city driving conditions). If he knows that he has to cover another 25% of his total journey in city driving conditions, what should be the minimum percentage increase in the fuel efficiency for non-city driving over the city driving fuel efficiency, so that he is just able to cover his entire journey without having to refuel? (Approximately)

• (a) 39.2%
• (b) 43.5%
• (c) 45.6%
• (d) 41.2%

12) An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?

• (a) 33.5%
• (b) 37.5%
• (c) 40%
• (d) 50%

13) One type of liquid contains 20% water and the second type of liquid contains 35% of water. A glass is filled with 10 parts of first liquid and 4 parts of second liquid. The percentage of water in the new mixture in the glass is:

• (a) 20%
• (b) 24\( \frac{2}{7} \)%
• (c) 37%
• (d) 40%

14) An empty fuel tank of a car was filled with A type petrol. When the tank was half empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?

• (a) 33.5%
• (b) 37.5%
• (c) 40%
• (d) 50%

15) An index of 12 shares contains, among others, the shares of Reliance, HLL and Infosys with weightage of 7%, 13% and 15% respectively. What is the increase in the prices of other shares, if these three rise by 9%, 10% and 4% respectively, while the index rises by 6%?

• (a) 5.34%
• (b) 4.91%
• (c) 4.58%
• (d) Cannot be determined