The document RD Sharma Solutions -Page No.9.19, Ratio Proportion And Unitary Method, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Question 1: A ratio equivalent of 2 : 3 is**

**(a) 4 : 3(b) 2 : 6(c) 6 : 9(d) 10 : 9**

**ANSWER: **(c) 6 : 9

2 : 3 is equivalent to 6 : 9. (Dividing by 3)

**Question 2: The angles of a triangle are in the ratio 1 : 2 : 3. The measure of the largest angle is(a) 30Â°(b) 60Â°(c) 90Â°(d) 120Â°**

**ANSWER:** (c) 90^{o}

Sum of all the angles of a triangle = 180^{o}

Question 3: The sides of a triangle are in the ratio 2 : 3 : 5. If its perimeter is 100 cm, the length of its smallest side is

(a) 2 cm

(b) 20 cm

(c) 3 cm

(d) 5 cm

**ANSWER: **(b) 20 cm

Length of the smallest side

Disclaimer: In actual terms, the sides of a triangle cannot be in the ratio 2 : 3 : 5.

Because, to form a triangle, the sum of two sides must be greater than the third side.

Here, the sum of two sides of the triangle is equal to the third side.

**Question 4: Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is**

(b) 42

(c) 49

(d) 72

**ANSWER:** (a) 63

Let the larger number be x.

Then

**Question 5: Two ratio 384 : 480 in its simplest form is(a) 3 : 5(b) 5 : 4(c) 4 : 5(d) 2 : 5**

**ANSWER:** (c) 4 : 5

384/480 = 4/5 (Dividing the denominator and numerator by 96)

**Question 6: If A, B, C,divide Rs 1200 in the ratio 2 : 3 : 5, then B's share is(a) Rs 240(b) Rs 600(c) Rs 380(d) Rs 360**

**ANSWER: **(d) Rs. 360

**Question 7: If a bus travels 126 km in 3 hours and a train travels 315 km in 5 hours, then the ratio of their speeds is(a) 2 : 5(b) 2 : 3(c) 5 : 2(d) 25 : 6**

**ANSWER:** (b) 2 : 3

Ratio of their speeds = 42 : 63 = 2 : 3

**Question 8: The ratio of male and female employees in a multinational company is 5 : 3. If there are 115 male employees in the company, then the number off female employees is**

(b) 52

(c) 69

(d) 66

**ANSWER: **(c) 69

If the number of male employees is 115, let the number of female employees be x.

According to the question:

**Question 9: Length and width of a field are in the ratio 5 : 3. If the width of the field is 42 m, then its length is**

**(a) 50 m**

**(b) 70 m**

**(c) 80 m**

**(d) 100 m**

**ANSWER: **(b) 70 m

Ratio of length and width of the field = 5 : 3

Let the length be x m.

âˆµ Width = 42 m

**Question 10: If 57 : x = 51 : 85, then the value of x is**

(b) 76

(c) 114

(d) None of these

**ANSWER: **(a) 95

Consider

**Question 12: If 4, a, a, 36 are in proportion, then a =(a) 24(b) 12(c) 3(d) 24ANSWER: **(b) 12

4, a, a, 36 are in proportion; therefore, we get:

4 : a : : a : 36

(a) 24

(b) 12

(c) 3/2

(d) 6

ANSWER:

5 : 4 : : 30 :

**Question 14: If a, b, c, d are in proportion, then**

**(a) ab = cd**

**(b) ac = bd**

**(c) ad = bc**

**(d) None of these**

**ANSWER: **(c) ad = bc

âˆµ a, b, c and d are in proportion.

âˆ´ a : b = c : d

â‡’a/b = c/d

â‡’ ad = bc

**Question 15: The weight of 45 folding chairs is 18 kg.How many such chairs can be loaded on a truck having a capacity of carrying 4000 kg load?**

**ANSWER:** Number of folding chairs weighing 18 kg = 45

Number of folding chairs weighing 1 kg = 45/18

Number of folding chairs weighing 4,000 kg