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Ratio and Proportion Practice Questions - Page 5

Questions 41–50 of 51 · Page 5 of 6

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Questions
51
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Q41Time period (T) of the pendulum is directly proportional to the square root of length of string by which bob is attached to a fixed point and inversely proportional to the square root of gravitational constant ‘g’. The time period of a bob is 3 seconds when the gravitational constant g is 4 m/sec₂ and length of string is 9 metre, what is the time period of a bob having a string of length 64 metre and gravitational constant 16 m/sec₂?MediumSolve →Q42In a milk shop there are three varieties of milk, ‘Pure’, ‘Cure’ and ‘Lure’. The ‘Pure’ milk has 100% concentration of milk. ‘The ratio of milk to water in the ‘Cure’ is 2: 5 and in the Lure it is 3: 8 respectively. Sonali purchased 14 litres of Cure and 22 litres of Lure milk and mixed them. If she wanted to make the concentration of milk in the mixture of purchased milk to 50%. How many litres of ‘Pure’ milk is she needed?MediumSolve →Q43If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9 then A : D is equal toMediumSolve →Q44Image-based questionMediumSolve →Q45A and B are two alloys of copper and tin prepared by mixing the respective metals in the ratio of 5:3 and 5:11 respectively. If the alloys A and B are mixed to form a third alloy C with an equal proportion of copper and tin, what is the ratio of alloys A and B in the new alloy C?MediumSolve →Q4694 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is:MediumSolve →Q47Two numbers are in the ratio 7:9. If each number is increased by 5, the ratio becomes 4:5. Find the numbers.MediumSolve →Q48If a : b = 5 : 7 and c : d = 2a : 3b, then ac : bd isMediumSolve →Q49If two times of A is equal to three times of B and also equal to four times of C, then A : B : C isMediumSolve →Q50The ratio of the monthly incomes of A, B, and C is 2:3:4 and their monthly expenses are in the ratio 5:6:7. If A saves Rs. 1,000, B saves Rs. 2,000, find C’s savings.MediumSolve →
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