6th Maths : Term 1 Unit 3 : Ratio and Proportion : Exercise 3.3 : Text Book Back Exercises Questions with Answers, Solution

__Exercise
3.3__

** **

**1. Fill in the boxes.**

**(i) 3 : 5 : : ___ : 20 **

**(ii) **** : 24 :: 3 : 8 **

**(iii) 5 : **** 10 : 8 :: 15: **

**(iv) 12 : **** = **** : 4 = 8 : 16 **

** **

** 2. Say True
or False.**

**(i) 2 : 7 :: 14 : 4**

**(ii) 7 Persons is to 49 Persons as 11 kg is to 88 kg**

**(iii) 10 books is to 15 books as 3 books is to 15
books**

** **

**3. Using the numbers 3, 9, 4, 12 write two ratios
that are in proportion.**

**Solution:**

Using numbers = 3, 9, 4, 12

Ratios in proportion

(i) 3 : 9 : : 4 : 12

(ii) 9:3:: 12: 4

** **

**4. Find whether 12, 24, 18, 36 in that order can
be expressed as two ratios that are in proportion.**

Using numbers = 12, 24, 18, 36

Two ratios = (i) 12 : 24

(ii) 18:36

Proportion :− 12 : 24 :: 18 : 36

** **

**5. Write the mean and extreme terms in the following
ratios and check whether they are in proportion.**

**(i) 78 litres is to 130 litre and 12 bottles is
to 20 bottles**

**(ii) 400 gm is to 50 gm and 25 rupees is to 625
rupees**

**Solution:**

(i) 78: 130:: 12:20

extreme = 78 × 20 = 1560

mean = 130 × 12 = 1560

extreme = mean

Ratios are in proportion

(ii) 400 : 50 : : 25 : 625

extreme = 400 × 625 = 250000

mean = 50 × 25 = 1250

extreme ≠ mean

Ratios are not in proportion

** **

**6. The America’s famous Golden Gate bridge is 6480
ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60
ft long with 7 ft tall towers. Is the model in proportion to the original bridge?**

**Solution:**

Bridge Ratio = 6480:756

Model Ratio = 60 : 7

proportion = 6480 : 756 :: 60 : 7

extreme = 6480 × 7 = 45360

mean = 756 × 60 = 45360

extreme = mean

The model is in proportion.

** **

**Objective
Type Questions**

** **

**7. Which of the following ratios are in proportion?**

**(a) 3 : 5 , 6 : 11 **

**(b) 2 : 3, 9 : 6**

**(c) 2 : 5, 10 : 25 **

**(d) 3 : 1, 1 : 3**

**Answer:** (c) 2 : 5, 10 : 25

** **

**8.
If the ratios formed using the numbers 2, 5, ***x***, 20 in the same
order are in proportion, then ‘***x***’**** is**

**(a)
50**** **

**(b)
4**** **

**(c)
10**** **

**(d)
8**

**Answer:** (d) 8

** **

**9.
If 7 : 5 is in proportion to ***x*** : 25, then ‘***x***’**** is**

**(a)
27**** **

**(b)
49**** **

**(c)
35**

**(d)
14**

**Answer:** (c) 35

** **

__Answers: __

__Exercise 3.3__

**1) (i) 12 (ii) 9 (iii) 4; 12 (iv) 24; 2**

**2) (i) False (ii) False (iii) False **

**3) (i) 3 : 9 : :4:12 (ii) 9 : 3 : :12:4**

**4) Yes**

**5) (i) Yes (ii) No**

**6) Yes**

**7) (c) 2 : 5 , 10 : 25**

**8) (d) 8**

**9) (c) 35**

Tags : Questions with Answers, Solution | Proportion | Term 1 Chapter 3 | 6th Maths , 6th Maths : Term 1 Unit 3 : Ratio and Proportion

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6th Maths : Term 1 Unit 3 : Ratio and Proportion : Exercise 3.3 | Questions with Answers, Solution | Proportion | Term 1 Chapter 3 | 6th Maths

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