Olympiad Test : Ratio And Proportion - 1
10 Questions MCQ Test Maths Olympiad Class 6 | Olympiad Test : Ratio And Proportion - 1
12 boys can dig a pitch in 12 hours. How long will 18 boys take to do it ?
12 boys can dig a pitch in 12 hours
∴ 1 boy can dig a pitch in 12 × 12 hours
Hence, 18 boys can dig a pitch in 
= 8 hours
If a bus covers 225 km in 3 hours and a train covers 600 km in 5 hours. What is the ratio of their speeds?
The angles of a triangle are in the ratio 2 : 3 : 5. What is the measure of the largest angle?
Here, 2x + 3x + 5x = 180
⇒ 10x = 180
∴ Largest angle = 5x = 5 × 18 = 90°
If 36 men can finish a piece of work in 36 days. How many men will be required to finish it in 24 days?
In 36 days the work is finished by 36 men
In 1 day the work is finished 36 × 36
On 24 days the work is finished 
= 54 men
If x, y, z are in proportion then which of the following is true?
If x, y, z are in proportion then
If 35 envelop costs Rs 87.50 how many such envelops can we purchase for Rs 315?
No. of envelops 
The weight of 65 magzines is 13 kg. What is the weight of 80 such magazines?
Weight of 65 magazines = 13 kg
∴ Weight of 1 magazine = 13/65 kg
Weight of 80 magazines 
The boys and girls in a school are in the ratio 9 : 5. If the total strength of the school is 994. What is the number of girls?
Given,
∴ No. of girls = 
= 355
The ratio of length of a field to its width is 5 : 3. What is the length if the width is 36 cm?
Given,
If Rs 1020 is divided among A, B, C in the ratio 2 : 3 : 5. What is the share of C?
Given,
2x + 3x + 5x = 1020
⇒ 10x = 1020
⇒ 
∴ Share of C = 5 × 102 = 510
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