**Directions (1-5): Each of the following question is followed by two statements I, and II. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.**

(a) Only Statement I alone.

(b) Only Statement II alone.

(c) Both Statements I and II together.

(d) Neither Statement I nor II is sufficient.

(e) Either Statement I or II alone.

**Q1. What is the speed of Rajdhani Express?**

I. The train crosses a platform 400 m long in 30 sec.

II. The ratio of length of platform to that of train is 2:1.

**Q2. What is the height of Tower X?**

I. The tower has 15 floors.

II. There are 5 floors of height 10 ft.

**Q3. Is 38N49 divisible by 7?**

I. N is a multiple of 9.

II. 38N49 is divisible by 11.

**Q4. What is the probability of getting at least 2 heads when some coins are tossed?**

I. A coin is tossed 3 times.

II. 2 heads are obtained 5 times.

**Q5. What is the value of a² + b²?**

I. (a-b)² =16

II. a + b = 5, ab = 6

**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

**Q10. 1/a+1/b=?**

**Quantity I:** a & b are roots of equation x²+x-6=0

**Quantity II:** a²+b²=20;ab=8

**Solutions**