**Directions (1-5): Calculate Quantity I and Quantity II on the basis of the given information then compare them and answer the following questions accordingly.**

**Q1. Quantity I: How many days A would require to complete the work, working alone. **

If two workers A and B working together completed a job in 5 days and if A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days.

**Quantity II:** Arun completes 2/3 of a certain job in 6 days. Lakshya can complete 1/3 of the same job in 8 days and Pulkit can complete 3/4 of the work in 12 days. All of them work together for 4 days and then Arun and Pulkit quit. How long will it take for Lakshya to complete the remaining work alone?

(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

**Q2. Quantity I: A boat can travel ‘x’ km upstream in 4 hours and ‘y’ km downstream in 3 hours. If the speed of boat in still water is 5 km/h and the boat can travel a distance of ‘x+y’ km downstream in 4 hours, then find the speed of stream?**

**Quantity II:** If time taken to cover (D+11) km upstream is thrice the time taken to cover (D–3) km downstream. If ratio of speed of boat in upstream to the downstream is 3 : 7 and time taken to cover (D+18) km downstream is 2.5 hours what will be the speed of current?

(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

**Q3. Quantity I: The respective ratio between the present ages of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 yr. What will be mother’s age after 7 yr?**

**Quantity II:** The age of the father 5 years ago was 5 times the age of his son. At present the father’s age is 3 times that of his son. What is the present age of the father ?

(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

**Q4. Quantity I: C’s share, if Rs. 3000 distributed among A, B and C such that A gets 2/3rd of what B and C together get and C gets 1/2 of what A and B together get **

**Quantity II**: Aman’s share, if Rs. 2250 is divided among three friends Aman, Bijoy and Chandra in such a way that 1/6 th of Aman’s share, 1/4 thof Bijoy’s share and 2/5 th of Chandra’s share are equal.

(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. A boat sails down the river for 10 km and then up the river for 6 km. The speed of the river is 1 km/hr. **

**Quantity I:** Speed of boat in still water, if for the whole trip it takes 4 hours.

**Quantity II:** 4 km/hr

(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 (6-10):Each of the following question is followed by two quantities I, and II. You have to determine the value of the quantities using the information provided and accordingly compare the quantities. Mark your answer as per the instruction set provided below.**

(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: Time taken by Prabhas to cover a distance of 200 km (without stoppage) by car through which he covers a distance of 100 km in 1 hour when he stops to get fuel for 10 minutes.**

**Quantity II:** Time taken by Nagarjuna to travel 20 km downstream if speed of boat and speed of stream be 7 kmph & 3 kmph respectively.

**Q7. There are 3 red and 5 blue balls in the urn.**

**Quantity I:** the probability of drawing 1 red ball and 2 blue balls.

**Quantity II:** the probability of drawing 2 red balls and 1 blue ball.

**Q8. In how many ways can 4 boys or 5 girls be selected?**

**Quantity I:** there are 20 persons (boys and girls only) in the group out of which 12 are boys.

**Quantity I:** the group comprises 10 boys and 10 girls.

**Q9. Quantity I: The length & breadth of a rectangle of perimeter 48 cm are in ratio 5:3. Find Area?**

**Quantity II:** 135

**Solutions**