Question

. Which of the following statements are true?
(1) 2.5 : 1.5 :: 7.0 : 4.2
(ii) 24 men : 16 men = 33 horses : 22 horses.
(iii) 24 men : 16 men ::33 horses:22 horses ​

Answer 1

Answer:

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Answer 2

(i) 2.5: 1.5:: 7.0: 4.2

Here,

Product of extremes = 2.5 × 4.2

We get,

= 10.50

Product of means = 1.5 × 7.0

We get,

= 10.50

By cross product rule

Product of extremes = Product of means

Therefore,

2.5: 1.5:: 7.0: 4.2 is a true statement

(ii) (1 / 2): (1 / 3) = (1 / 3): (1 / 4)

Here,

Product of extremes = (1 / 2) × (1 / 4)

We get,

= (1 / 8)

Product of means = (1 / 3) × (1 / 3)

We get,

= (1 / 9)

By cross product rule

Product of extremes ≠ Product of means

Therefore,

(1 / 2): (1 / 3) = (1 / 3): (1 / 4) is not a true statement

(iii) 24 men: 16 men = 33 horses: 22 horses

Product of extremes = 24 × 22

We get,

=528

Product of means = 16 × 33

We get,

= 528

By cross product rule

Product of extremes = Product of means

Therefore,

24 men: 16 men = 33 horses: 22 horses is a true statement