**Directions (1 – 3):** 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:

**Q1. Quantity I –** A bag contains five red balls, six green balls, ‘a’ yellow balls & ‘b’ blue balls. Probability of drawing one yellow ball is 1/6 , while probability of drawing one blue ball is 2/9. If two balls are drawn from bag without replacing, then find probability that one of them is red and other is yellow.

**Quantity II –** A bag contains dices only in three colors, eight green color dice, ‘x’ blue color dice and ‘y’ yellow color dice. Probability of drawing one blue dice is 7/20 , while probability of drawing one yellow dice is 1/4. If two dices drawn at random without replacement, then find probability that one of them is blue and the other is green.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q2. Quantity I –** A cylindrical vessel with radius and height of 17.5 cm and 18 cm respectively is filled upto 80% of its capacity with milk. If total milk from cylindrical vessel transferred into 30 cuboidal vessels whose length and breadth is 7 cm & 3 cm respectively. Find height of each cuboidal vessel?

**Quantity II –** Breadth of a rectangle is 18 cm and ratio between length of rectangle and side of square is 12 : 11. If perimeter of square is 4 cm more than perimeter of rectangle. Find side of square.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q3. Quantity I –** A boat takes double time in covering same distance in upstream as compared to downstream, if boat covers 96 km in downstream and 72 upstream in total 20 hours. Find time taken by boat to cover 240 km in downstream.

**Quantity II –** Distance between point A and point B is 720 km. A car covered 1/3 rd of distance with its usual speed and remaining with 20% increased speed, if car takes total 10 hours 40 minutes to cover total distance, then find in what time car will cover a distance of 1200 km with its usual speed.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q4. Quantity I –** Breadth of rectangle.

Sum of circumference of a circle and perimeter of a rectangle is 154 cm. and area of the circle is 346.5 cm2. Length of the rectangle is 166 ⅔% more than radius of circle.

**Quantity II –** Side of square.

Circumference of a circle is 132 cm and area of circle is 1130 cm2 more than area of square.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q5. Quantity I –** Three times of the amount invested by Gopal.

Arun and Gopal entered into a business with the capital of Rs. (P + 1200) and Rs. (P + 1500) respectively. After 8 months from starting, Arun withdrew half of his investment and Gopal doubled his investment. At the end of year Arun got Rs. 4250 out of total profit of Rs. 11250.

**Quantity II –** Profit share of C.

A and B started a business with initial investment of Rs. 27000 and Rs. 36000 respectively. After 4 months A withdraw Rs. 5000, B added Rs. 6000 and C joined with Rs. 35000. At the end of an year total profit of Rs. 130500 is obtained.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q6. Quantity I:’x’ -.** Two circles are concentric with center ‘O’. Their radii are 8cm and 10cm respectively. ‘B’ and ‘C’ are the points of contact of two tangents drawn from bigger circle to smaller circle from point ‘A’ lying on bigger circle. ‘x’ is area of quadrilateral ABOC formed in cm²

**Quantity II: – ‘y’ –** The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 6 cm, then its area is ‘y’ cm²

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q7. Quantity I: ‘x’ –**. Kishan invested Rs. 20,000 in a bank offering 22% p.a. at Simple interest. After 2 years he withdraws his money and invested in another bank which is offering ‘x%’ p.a. at compound interest. After 3 years, interest earned by him is Rs.1350 less than amount invested by him in this bank.

**Quantity II: – ‘y’ –** Bhavya sell a diary at Marked price and earns profit while if he gives ‘y%’ discount on Marked price then he will earn ‘y%’ profit.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q8. Quantity I —‘x’ :** B alone can do the work in ‘x’ days. A can complete a work in 5 more days than B while A does the same work in 9 more days than C. If A and B can complete the whole work in same time as time taken by C alone to do the whole work.

**Quantity II —‘y’ : ‘y’** is the days taken by 8 men and 14 women to reap 7/12 part of 360-hectare land by working 7 hrs per day if 6 men and 10 women can reap 5/12 part of the land in 15 days by working 6 hrs per day. It is also given that work of 2 men is equal to that of 3 women.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Directions (9-10): The following questions are accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient / necessary to answer the questions.**

**Q9. Ratio between radius and height of a right circular cylinder is 3 : 2. Find area of a square?**

I . Given that side of square is equal to the radius of cylinder.

II . Height of cylinder is equal to the radius of circle whose area is 616 cm2.

(a) Only statement I is sufficient

(b) Only statement II is sufficient

(c) Statement I and II both

(d) Either statement I or Statement II alone sufficient

(e) Neither statement I nor statement II sufficient

**Q10. Ratio between length of two trains is 7 : 6. What will be difference between lengths of both trains?**

I . Speed of smaller train is 108 km/hr and it can cross an unmoving man in 2.7 sec.

II . Time taken by larger train to cross the smaller train is 5.4 sec and speed of larger train is 90 km/hr.

(a) Only statement I is sufficient

(b) Only statement II is sufficient

(c) Statement I and II both

(d) Either statement I or Statement II alone sufficient

(e) Neither statement I nor statement II sufficient

**Solutions**