NCERT Exemplar Solutions - Class 6 - Mathematics - Unit 8: Ratio & Proportion
True or False Questions

In questions 16 to 34, state whether the given statements are true (T) or false (F).

Quick Links to Questions

Q. 16
Q. 17
Q. 18
Q. 19
Q. 20
Q. 21
Q. 22
Q. 23
Q. 24
Q. 25
Q. 26
Q. 27
Q. 28
Q. 29
Q. 30
Q. 31
Q. 32
Q. 33
Q. 34

Question. 16

16. \(\dfrac{3}{8} = \dfrac{15}{40}\)

Answer

true

Step by Step Solution

\(\dfrac{15}{40} = \dfrac{3\times5}{8\times5} = \dfrac{3}{8}\). Equal.

Question. 17

17. \(4:7 = 20:35\)

Answer

true

Step by Step Solution

\(20:35\Rightarrow \dfrac{20}{35}=\dfrac{4}{7}\). Ratios are equal.

Question. 18

18. \(0.2:5 = 2:0.5\)

Answer

false

Step by Step Solution

\(\dfrac{0.2}{5}=0.04\) but \(\dfrac{2}{0.5}=4\). Not equal.

Question. 19

19. \(3:33 = 33:333\)

Answer

false

Step by Step Solution

\(\dfrac{3}{33}=\dfrac{1}{11}\), \(\dfrac{33}{333}\approx0.0991\). Different.

Question. 20

20. 15 m : 40 m = 35 m : 65 m

Answer

false

Step by Step Solution

\(15/40=3/8=0.375\); \(35/65=7/13\approx0.538\). Not equal.

Question. 21

21. 27 cm2 : 57 cm2 = 18 cm : 38 cm

Answer

true

Step by Step Solution

\(27/57=3/7\approx0.473684\) and \(18/38=9/19\approx0.473684\). Equal.

Question. 22

22. 5 kg : 7.5 kg = Rs 7.50 : Rs 5

Answer

false

Step by Step Solution

\(5/7.5=2/3\approx0.666\); \(7.5/5=1.5\). Not equal.

Question. 23

23. 20 g : 100 g = 1 metre : 500 cm

Answer

true

Step by Step Solution

Right side: \(1\,\text{m}=100\,\text{cm}\Rightarrow 100:500=1:5\). Left side: \(20:100=1:5\). Equal.

Question. 24

24. 12 hours : 30 hours = 8 km : 20 km

Answer

true

Step by Step Solution

\(12/30=2/5\) and \(8/20=2/5\). Equal.

Question. 25

25. The ratio of 10 kg to 100 kg is 1 : 10.

Answer

true

Step by Step Solution

\(10:100=1:10\).

Question. 26

26. The ratio of 150 cm to 1 metre is 1 : 1.5.

Answer

false

Step by Step Solution

\(1\,\text{m}=100\,\text{cm}\Rightarrow 150:100=3:2=1.5:1\), not \(1:1.5\).

Question. 27

27. 25 kg : 20 g = 50 kg : 40 g

Answer

true

Step by Step Solution

Convert to grams: \(25\text{ kg}=25000\text{ g}\Rightarrow 25000/20=1250\); \(50\text{ kg}=50000\text{ g}\Rightarrow 50000/40=1250\). Equal.

Question. 28

28. The ratio of 1 hour to one day is 1 : 1.

Answer

false

Step by Step Solution

1 day = 24 hours, so \(1:24\), not \(1:1\).

Question. 29

29. The ratio 4 : 16 is in its lowest form.

Answer

false

Step by Step Solution

\(4:16=1:4\). It can be simplified.

Question. 30

30. The ratio 5 : 4 is different from the ratio 4 : 5.

Answer

true

Step by Step Solution

\(5/4\neq4/5\). Order matters in ratios.

Question. 31

31. A ratio will always be more than 1.

Answer

false

Step by Step Solution

Ratios can be less than, equal to, or greater than 1 (e.g., \(3:5=0.6\)).

Question. 32

32. A ratio can be equal to 1.

Answer

true

Step by Step Solution

If two quantities are equal, \(a:a=1:1\).

Question. 33

33. If \(b : a = c : d\), then \(a, b, c, d\) are in proportion.

Answer

false

Step by Step Solution

For proportion we need \(a:b=c:d\). Given \(b:a=c:d\) does not imply that.

Question. 34

34. The two terms of a ratio can be in two different units.

Answer

false

Step by Step Solution

To form a ratio, both terms must be expressed in the same units before comparison.

Disclaimer:The questions are taken from NCERT Exemplar, which is the copyright of NCERT. The solutions provided here are prepared independently for educational purposes only. This material is not an official NCERT publication.