**Directions (1-5): 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

(e) Quantity I = Quantity II or no relation

**Q2.**

**Quantity I :** Sum of first 50 odd natural numbers.

**Quantity II :** sum of first 50 even natural numbers.

**Q3.** **Quantity I:** A can do a piece of work in 4 days and B can do the same piece of work in 6 days. C is 20 % more efficient than B, no. of days to complete the work when all work together.

**Quantity II:** P can do a piece of work in 15 days while Q can do the same piece of work in 22 days, working together no. of days required by P and Q to complete the work.

**Q4. Quantity I** (in km/hr.): A train crosses a pole in 8 seconds and a 200m long platform in 28 seconds. What is speed of the train? (km/hr)

**Quantity II** (in days): P can complete a work in 45 days and P and Q together can complete the same work in 18 days. In how many days Q alone will do the same work?

**Q5. Quantity I** (in cm): area of rectangle is 270cm² and difference between length and breadth is 3cm. Find the sum of length and breadth?

**Quantity II** (y): y²-31y – 66 = 0

**Directions (6-10):- Each of the following questions is provided with 2 statements i.e. Statement I & Statement II. You have to study them and find which statement (s) is/are necessary to answer the question as per the instruction set given below.**

(a) Either Statement I or Statement II is sufficient to answer

(b) Only Statement I is necessary

(c) Both Statement I & Statement II are necessary to answer

(d) Neither Statement I nor Statement II is sufficient to answer

(e) Only Statement II is necessary

**Q6. What is speed of car?**

**Statement I:** The car can cover a certain distance in 4 hours.

**Statement II:** The car can cover same distance in 3 hour if speed increases by 5 kmph.

**Q7. What is the cost price of mobile?**

**Statement I:** the mobile is sold at a profit of 20%.

**Statement II:** the product is marked up at Rs 5000.

**Q8. At what time the train reach station B?**

**Statement I:** The train left station A at 8:00 AM and distance between A and B is 400 kms.

**Statement II:** the train can cover a distance of 100 kms in 75 minutes.

**Q9. What is time taken by boat to cover 40 km downstream?**

**Statement I:** the speed of boat in still water and speed of stream is in ratio 5 : 1. It can cover a distance of 20 km upstream in 2.5 hour.

**Statement II:** the boat takes 4 hour to cover a certain distance in downstream and 6 hours to return.

**Q10. How many bags are there in the box?**

**Statement I:** there are 10 pink bags in the box.

**Statement II:** The probability of drawing 2 red bags from 5 red bags is 2/9.

**Directions (11-15):- Each of the following questions is provided with 2 statements i.e. Statement I & Statement II. You have to study them and find which statement (s) is/are necessary to answer the question as per the instruction set given below.**

(a) Only Statement I is necessary

(b) Either Statement I or Statement II is sufficient to answer

(c) Both Statement I & Statement II are necessary to answer

(d) Only Statement II is necessary

(e) Neither Statement I nor Statement II is sufficient to answer

**Q12. How many members are there in the group initially?**

**Statement I:** average age of group is 20 years.

**Statement II:** the average age remains same when a new person 20 years old joins the group.

**Q13. What is present monthly salary of Gulati?**

**Statement I:** Gulati spends Rs. 4000 on rent and clothes which is 20% of his salary.

**Statement II:** Gulati spends Rs. 2000 on rent and saves Rs. 1500 every month.

**Q14. What is speed of boat in still water?**

**Statement I:** the speed of boat in downstream is 20 kmph.

**Statement II:** the upstream speed is 12 kmph.

**Q15. How many blue balls are in the bag?**

**Statement I:** there are 20 balls in the bag of which red balls are 5.

**Statement II:** the probability of drawing a blue ball from bag having 20 balls is 0.25.

**Solutions **