**Directions (Q1 – 5): In each of the following question, read the given ****statements and compare the two given quantities on its basis.**

a) Quantity I > Quantity II

b) Quantity < quantity II

c) Quantity I≥ Quantity II

d) Quantity I ≤ Quantity II

e) Quantity I = Quantity II or cannot be established

** ****Quantity I:**

The area of the rectangle field is 2704 sq.m and its length to breath is in the ratio of 4:1.what is the perimeter of the field

**Quantity II**

The radius and the height of the right circular cylinder are increased by 25% and 35% respectively. What will be the percentage increase in the curved area?

a) a

b) b

c) c

d) d

e) e

**Quantity I:**

The ratio of amrit’s to amrita’s age is 7:5 and the sum of their ages is 72.what will be the total ages after 12 years?

**Quantity II:**

The average age of the whole class is 12.05years.the average age of the girls is 12.5 years and the average age of 45 boys is 11.75 years. What are the total number girls in the class?

a) a

b) b

c) c

d) d

e) e

**Quantity I:**

7X^{2} – 34X-5 =0

**Quantity II:**

2Y^{2} – 3Y -14 =0

a) a

b) b

c) c

d) d

e) e

**Quantity I:**

Find the probability of taking a red card or black queen from the deck of 52 cards?

**Quantity II:**

What is the probability of forming a committee consists of 3 people out of 5 men and 4 women with minimum one woman?

a) a

b) b

c) c

d) d

e) e

**Quantity I:**

The difference between SI and CI for 2 years is Rs.226.08 and rate of interest is 12%.Find the principal invested on CI and SI

**Quantity II:**

Rs.5000 is invested by Sindhu on CI for 3 years at the rate of 12%. Find the interest earned by her if amount is compounded half yearly.

a) a

b) b

c) c

d) d

e) e

**Answers:**

**1. Answer: A**

**Quantity I :**

4×2 = 2704

X= 26

Perimeter = 2( 26+104) =260m

**Quantity II :**

Required change = 2π(1.25r*1.35h) – 2πrh / (2πrh) *100 =68.75%

Quantity I>Quantity II

**2. ****Answer: A**

Quantity I :

54+42 = 96 years

Quantity II:

12.05 *(x+45)= 12.5 *x +11.75*45

=>x=30

Quantity I> Quantity II

**3. ****Answer: E**

X = 5, -1/7

Y = 7/2 , -4/2

Quantity I = Quantity II or cannot be established

**4. ****Answer: B**

Quantity I:

= 13/52 + 4/52 = 17/52

Quantity II:

9C3 = 84

= 4C1*5C2 + 4C2*5C1 +4C3*5C0

= 74

= 74/84

Quantity I<Quantity II

**5. ****Answer: A**

Quantity I:

226.08 = PR^{2}/100^{2}

=>P= 15700

Quantity II:

Amount = 5000 (1+(12/2)/100)^{6}

=> 7093

Quantity I > Quantity II