**Directions (1-5): In the following questions two quantities are given for each question. Compare the numeric value of both the quantities and answers accordingly.**

**Q1. Veer invests a certain sum of money at rate of 10% p.a. for 2 years on C.I while Aayush invests Rs.1500 more than that of Veer at the rate of 5% p.a. for 3 years on S.I. **

**Quantity I:** If interest gained by Veer and Aayush are equal, then find Principal invested by Veer.

**Quantity II:** Rs. 3800

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Q2. ‘x’ men can do a piece of work in 8 days while ‘y’ women can do the same work in 12 days **

**Quantity I:** Find the time taken by 10 men to complete whole work

**Quantity II:** Find the time taken by 8 women to complete whole work.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Q3. The side of an equilateral triangle is 20 cm. **

**Quantity I:** Find out the radius of circle which is inscribed in the Triangle.

**Quantity II:** Find out the value of ⅓rd part of its altitude.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Q4. Quantity I:** What is the speed of second train in m/s, if first train overtakes second train (standing train) at a speed of 35 m/s in 20 sec, while the second train can cross a platform which length is two times more than itself in 20 sec. The length of first train is 250% of length of second train.

**Quantity II:** What is Speed of train(m/s). The train can cross a 450 m long platform in 25 seconds and crosses a pole in 10 seconds.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Q5. Total Surface area of a Cylinder is 968 sq.m. and its height and diameter are in the ratio of 15:14. **

**Quantity I:** Find the difference between total surface area and curved surface area of a Cone, if Cylinder is melted to form a Cone of same height.

**Quantity II:** Find the surface area of Cylinder if height and radius of the initial Cylinder is interchanged.

(a) Quantity I > Quantity II

(b) Quantity II > Quantity I

(c) Quantity I ≥ Quantity II

(d) Quantity II ≥ Quantity I

(e) Quantity I = Quantity II or relation can’t be established

**Directions (6–8):** In the given questions, two quantities are given one as **‘Quantity I’** and another as **‘Quantity II’.** You have to determine relationship between two quantities and choose the appropriate option.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I = Quantity II or no relation

(e) Quantity I≤ Quantity II

**Q6. Quantity I:** Value of T, A, B and C can complete a piece of work in 24, 36 and T days. All three started the work, after 4 days, C left the work and after next 5 days, B also left. Remaining work completed by A in 5.8 days.

**Quantity II:** Time taken by Q to complete the work alone (in days). P is 20% more efficient than Q who is 25% more efficient than R. If R takes 30 days to complete a piece of work.

**Q7. Quantity I:** selling of article (in Rs.), Harish bought an article and marked up the price by 60% above its cost price. He gave a discount of Rs.120 such that profit and discount is same.

**Quantity II:** cost price of article (in Rs.), Anand marked up the price of the article 80% above the cost price and offers a two successive discount of 20% and 10%. He earned a profit of Rs.150.

**Directions (9-11): The following questions are accompanied by two statements, I and II. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. **

**Q9. Find (P+5R)/(P-R). **

I. A number P is first increased by 20% and then decreased by 66⅔% to obtain a number R .

II. Sum of P and R is 1400 and P is 400% more than (R-200).

(a) either I alone or II alone

(b) Only I

(c) only II

(d) neither I nor II

(e) both I and II together

**Q10. Find the age of Sohan? **

I. Average age of Rohan, Mohan and Sohan is 33 years. Age of Rohan is 20% more than the sum of ages of Mohan and Sohan.

II. Age of Sohan is 62.5% of the difference between age of Rohan and age of Mohan. (Age of Rohan > Age of Mohan > Age of Sohan).

(a) either I alone or II alone

(b) Only I

(c) only II

(d) neither I nor II

(e) both I and II together

**Q11. Find the time taken by B alone to finish the work?**

I. Efficiency of A is 40% of the efficiency of C and efficiency of B is 33⅓% of efficiency of A, B and C together. Time taken by A and C together to do the work is 6 hours.

II. Difference between the time taken by A alone and C alone to finish the work is 12⅗ hours.

(a) either I alone or II alone

(b) Only I

(c) only II

(d) neither I nor II

(e) both I and II together

**Directions (12-15):- Each of the questions consists of two statements I and II. You have to decide which statement/statements is/are sufficient to answer the question. Read the data carefully and answer the following questions.**

(a) If statement I alone is sufficient to answer the question

(b) If statement II alone is sufficient to answer the question

(c) If either statement I alone or statement II alone is sufficient to answer the question.

(d) If both statement I and statement II together are not sufficient to answer the question.

(e) If both statement I and statement II together are necessary to answer the question

**Q12. Find P? **

**Statement I:** The interest on a certain sum of Rs ‘P’ at 5% per annum for 3 years is Rs 480.

**Statement** II; The compound interest on Rs ‘P’ at 10% per annum (interest being compounded half yearly) for 1 year is Rs.328.

**Q13. Find the time taken by pipe C alone to fill the tank?**

**Statement I:** Pipe A & B together can fill the tank in 30 hours.

**Statement** II: Pipe B and C together can fill the same tank in 54 hours. All 3 pipes together can fill the tank in 270/11 hours.

**Solutions**