**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 man 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 1/3 rd 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

**Solutions**