**1. The sum of the digits of a two-digit number is 6. If the digits are reversed, the number thus obtained, when increased by 6, equals 2 times the original number. Find the original number.**

1) 32

2) 42

3) 35

4) 33

5) None of these

**2. A contract for a construction job specifies a penalty for delay in completion of the work beyond a certain time as follows: ₹250 for the first day, ₹300 for the second day and ₹350 for the third day, etc; ie, the penalty for each succeeding day being ₹50 more than that of the preceding day. How much penalty has the contractor to pay if he delays the work for 20 days?**

1) **₹**13500

2) **₹**14500

3) **₹**17500

4) **₹**31500

5) None of these

**3. A vessel is completely filled with a solution of spirit and water. The capacity of the vessel is 84 litres. 12 litres of this solution is replaced with pure water. The concentration of spirit in the new solution is 40%. What was the concentration of spirit in the original solution?**

1) 46.67%

2) 48.75%

3) 44.56%

4) 37%

5) None of these

**4. An empty tank is connected with pipes A, B and C. A and B are inlet pipes and they fill the tank in 6 hours and 8 hours respectively, while C is an outlet pipe and it empties the completely filled tank in 5 hours. Find the time in which the tank will be completely filled if all the pipes are opened together.**

1) 8 ^{9}/_{13}

2) 10 ^{10}/_{11}

3) 12 ^{11}/_{13}

4) 7 ^{6}/_{15}

5) None of these

**5. The chance of India winning a cricket match against England is . What minimum number of matches should India play against England so that there is a fair chance of India winning at least one match?**

1) 3

2) 8

3) 4

4) 7

5) None of these

**Directions (Q. 6-9): Each of the questions given below consists of a question and two statements (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer**

1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question.

2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.

3) if the data either in statement I alone or in statement II alone are sufficient to answer the question.

4) if the data even in both statements I and II together are not sufficient to answer the question.

5) if the data in both statements I and II together are necessary to answer the question.

**6. Is the sum of the costs of a laptop and a music system more than the sum of the costs of a smart phone and a tablet?**

I. 35% of the cost of a laptop and 25% of the cost of a music system is more than 45% of the cost of a smart phone and 65% of the cost of a tablet.

II. 25% of the cost of a laptop and 35% of the cost of a music system is less than 15% of the cost of a smart phone and 20% of the cost of a tablet.

**7. For a company X, were the profits in year 2010 more than those in year 2011?**

I. The company’s sales in year 2011 were greater than the sales in year 2010.

II. Profits in 2011 were 1.35 times the average profit in year 2010 and 2011 together.

**8. A car can be purchased on a down payment plus fifty (interest-free) instalments. What is the approximate price of a car?**

I. Each instalment is **₹**15892

II. Down payment is 37% of the total price of the car.

**9. A person invests a total amount of ₹x in the names of his three sons A, B and C in such a way that they can get the same amount after 5, 6 and 7 years respectively. What is the ratio of amounts invested for A, B and C?**

I. x = **₹**7821414

II. The man invested the amount at the rate of 10% per annum simple interest.

**10. Premshankar took a loan of ₹75000 at a simple rate of interest 14% per annum for 3 years and invested the money thus obtained at the rate of 14% per annum for the same period, compounding annually. How much money did he gain or lose in the whole transaction?**

1) **₹**4615.80 gain

2) **₹**4615.80 loss

3) **₹**3615 gain

4) **₹**4214 loss

5) None of these