Olympiad Test: Ratio & Proportion - Class 6 MCQ

Convert 1/4 minute to seconds and find the ratio.

2m = 2x100 cm = 200 cm
28 cm
200:28
50:7

• The original ratio was 3:8, which means there are 3 parts of one quantity and 8 parts of another quantity.
• By adding 4 to the antecedent (3 + 4 = 7), we increase the first part of the ratio to 7.
• And by adding 2 to the consequent (8 + 2 = 10), we increase the second part of the ratio to 10.

So, the new ratio would be 7:10.

Therefore, the correct answer is: Product of means is equal to product of extremes.

Extremes are the end terms. So, 9 and 12 area the extremes of the given proportion.

12:3::x:1  ⇒3x  =12 ⇒ x = 12/3 = 4

In a proportion, product of extremes is equal to product of means.

  (Since H.C.F. of 144 and 28=4)

25:10::10:4 10²=25 × 4 [ Since b² = ac ]
∴ 10 is the mean proportion.

x:y::y:z 
x/y=y/z now cross multiply
y²=xz
⇒y²=xz

In a proportion, the relationship between the terms is such that the product of the extremes (first and fourth terms) is equal to the product of the means (second and third terms).

So, if the first, second, and third terms of a proportion are a, b, and c respectively, then the proportion can be written as:

Ratio of number of boys to number of girls = 2:3
Number of girls = 180
Let the number of boys be x.
⇒ 2/3 = x/180 [∵ they are equivalent ratios]
⇒ 3x = 2×180
⇒ x = 360/3
⇒ x = 120
∴ Number of boys are 120.

let lemons be 3x and warer be 5x
so as given 3x=12
x=4 so then
5x =5x4=20

Total number of players in a cricket team: 11
Number of  Wicket keeper : 1
Ratio 11:1