# Exercise 2

(b) A is greater than B

(c) B is greater than A

(d) Relation cannot be established between A and B

(e) None of these

**Ans.d**

The given information gives no indication regarding the comparison of x and y.

(b) Between 21 and 22

(c) Between 22 and 23

(d) Between 23 and 24

(e) None of these

**Ans.d**

Required sum

= \(20\left(1 + \frac{8}{100} \right)^{2} = \frac{20 \times 27 \times 27}{25 \times 25} = 23.3\)

(b) 40

(c) 15

(d) Cannot be determined

(e) None of these

**Ans.e**

Houses containing only one person = 100 – 40 = 60%

Houses containing only a male = 60 × ^{25}⁄_{100} = 15%

∴ Houses containing only one female = 60 – 15 = 45%

(b) 78%

(c) 98%

(d) Cannot be determined

(e) None of these

**Ans.d**

Since the weight age of eighth examination is not known, hence can not be determined.

^{2}+ M = 7x + 5, what is the value of 120% of M?

(b) 9.90

(c) 9.98

(d) Cannot be determined

(e) None of these

**Ans.b**

If 3x + 7 = x^{2} + M = 7x + 5

ie, 3x + 7 = 7x + 5

or, 4x = 2 ∴ x = ^{1}⁄_{2}

and 3x + 7 = x^{2} + M

or, ^{1}⁄_{4} + M = ^{3}⁄_{2} + 7 ⇒ M + ^{1}⁄_{4} = 8 + ^{1}⁄_{2}

∴ M = 8^{1}⁄_{4}

(b) 160

(c) 120

(d) 200

(e) None of these

**Ans.d**

Let the number = x.

^{4}⁄_{5} × ^{3}⁄_{8}x = 24 or x = \(\frac{24 \times 2 \times 5}{3} = 80\)

∴ 250 per cent of the number = ^{250}⁄_{100} × 80 = 200

159% of 6531.8 + 5.5 × 1015.2 = ? + 5964.9

(b) 10,900

(c) 11,000

(d) 10,600

(e) 12,000

**Ans.a**

? ≈ 160% of 6530 + 5.5 × 1010 – 5965

≈ 10448 + 5555 – 5965 ≈ 10,000

(b) 7 : 4

(c) 8 : 5

(d) Data inadequate

(e) None of these

**Ans.b**

35% of x + y = ^{120}⁄_{100}y

or \(\frac{35x \; + \; 100y}{100} = \frac{120y}{100} \Rightarrow 35x = 20y\)

^{y}⁄_{x} = ^{35}⁄_{20} = 7 : 4

(b) 150

(c) 100

(d) 120

(e) None of these

**Ans.c**

Let the number = x

^{2}⁄_{5} × ^{30}⁄_{100} × ^{x}⁄_{4} = 15

or \(x = \frac{15 \times 5 \times 100}{2 \times 30} = 500\)

20% of 500 = 100

(b) 50

(c) 60

(d) Data inadequate

(e) None of these

**Ans.c**

Let the labelled price of the article = ₹ 100 then

CP = ₹ 70 and SP = ₹ 112.

∴ Read profit percent = \(\frac{112 - 70}{70} \times 100\)

= \(\frac{42}{7} \times 10 = 60\)