CAT Ratio and Proportion — practice questions
112 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Ratio and Proportion in the app →Which of the following is equivalent to the ratio $4 : 5$?Find the fourth proportional to $4$, $9$ and $12$.Find the mean proportional between $16$ and $25$.If $\dfrac{a}{b} = \dfrac{3}{5}$, find the value of $\dfrac{a+b}{a-b}$.Find the compounded ratio of $(2 : 3)$, $(5 : 7)$ and $(4 : 9)$.₹$5400$ is divided among A, B and C in the ratio $3 : 5 : 7$. How much does B receive?A recipe uses dal and rice in the ratio 2:5. If 35 cups of rice are used, how many cups of dal are needed?₹8400 is divided among A, B, C in the ratio 3:4:5. What is B's share?The sides of two cubes are in the ratio 2:3. What is the ratio of their VOLUMES?If a:b = 3:2, what is (a+b)/(a−b)?A vendor mixes ₹40/kg rice with ₹60/kg rice to sell at ₹52/kg. What is the ratio of cheap to costly rice?Speed and time are __________ proportional for a fixed distance.Three partners invest ₹6000, ₹8000, and ₹12,000 in a business for the same duration. They earn a total profit A 100-litre tank contains milk. 10 litres are drawn out and replaced with water. This is done 3 times. How mucIn a 200-metre race, A beats B by 20 metres. What is the ratio of A's speed to B's speed?In mathematics, a ratio is used to:A basket holds 20 apples and 5 oranges. The ratio of oranges to apples in simplest form is:Out of 25 fruits, 5 are oranges. What percentage of the fruits are apples?An amount of 1200 is divided between two people in the ratio 3 : 5. The larger share is:If a : b = 2 : 3 and b : c = 4 : 5, then a : c equals:Two numbers are in the ratio 5 : 7 and differ by 12. Their sum is:A car uses 4 litres of petrol to travel 60 km. How far will it travel on 12 litres?Two quantities are in direct proportion when, as one increases:If A : B = 3 : 4 and B : C = 6 : 5, then A : B : C equals:A basket has 20 apples and 5 oranges. What percentage of the fruit is oranges?Girls are 60% of a class and number 18. How many students are in the class?With 18 girls and 12 boys, the ratio of girls to boys is:A picnic site is 55 km away and the first stop is at 22 km. What percent of the distance is covered?A scooter cost 34,000 last year and rose 20%. In unitary terms, 100 became:A scooter priced at 34,000 rises by 20%. Its new price is:A 5% cut on a 34,000 scooter is a reduction of:Discount is a reduction given on the:An item marked 840 sells for 714. The discount is:A frock listed at 220 gets 20% off. The discount amount is:The sale price of the 220 frock after 20% discount is:Repair, labour and transport costs added to the cost price are called:Sohan buys a fridge for 2,500, spends 500 on repairs and sells it at 3,300. His profit percent is:A shopkeeper buys 200 bulbs at 10 each, 5 fuse, and sells the rest at 12. His total selling price is:Meenu buys two fans at 1,200 each, sells one at 5% loss and one at 10% profit. Overall she makes a:Goods and Services Tax (GST) was introduced in India on:Skates cost 450 with 5% sales tax. The bill amount is:Waheeda pays 3,300 for an air cooler including 10% VAT. The price before VAT was:Salim pays 784 including 12% GST. The price before GST was:10,000 is borrowed at 15% per annum simple interest for 2 years. The interest is:Heena borrows 20,000 for 2 years at 8% compounded annually. She pays how much more than under simple interest?When interest is compounded half yearly, the time period doubles and the rate is:Sugar costs 36 per kg. The cost of 3 kg is:A car travels 60 km on 4 litres of petrol. On 12 litres it will travel:Two quantities x and y are in direct proportion when:A child's age and the mother's age both increase together but are not in direct proportion because:5 metres of cloth cost 210. The cost of 10 metres is:A 14 m pole casts a 10 m shadow. A tree casting a 15 m shadow at the same time is:12 sheets of paper weigh 40 g. How many sheets weigh 2.5 kg?A train moves at a uniform 75 km per hour. In 20 minutes it covers:At 75 km per hour, the time to cover 250 km is:A map has scale 1 : 30000000. Two cities 4 cm apart on the map are actually apart by:Two quantities x and y are in inverse proportion when:Zaheeda doubles her speed by running instead of walking. Her time to reach school:A school has 6000 for maths books at 40 each. If the price rises to 50, the number of books falls from 150 to:When book price goes from 40 to 50, the ratio 4 : 5, the number of books changes in the ratio:6 pipes fill a tank in 1 hour 20 minutes. With 5 pipes the time is:A hostel has food for 100 students for 20 days. If 25 more join, it lasts:15 workers build a wall in 48 hours. To finish in 30 hours you need:Which pair is in inverse proportion?The angle turned by a clock's minute hand and the time passed are:A car takes 2 hours at 60 km/h. At 80 km/h the same trip takes:A box of sweets gives 24 children 5 each. With 4 fewer children, each gets:Simple interest at a fixed rate and time changes in direct proportion with the:In a percent problem, the word of tells you to:Written as a decimal, 4.5% is:To find a percent increase, first find the amount of increase, which is:Community college fees rose from $26 a unit to $36 a unit. The amount of increase is:A gallon of gas fell from $3.71 in June to $3.64 in July. The amount of decrease is:Money a customer puts into a bank is called the:Interest found from I equals P times r times t is called:Nathaly deposits $12,500 at 4% simple interest. In 5 years she earns:Loren lent his brother $3,000 and got back $660 in interest after 4 years. The rate was:Eduardo paid $6,596.25 in interest at 7.5% over 5 years. He borrowed:A sale price should always be:Elise buys a dress discounted 35% off an original price of $140. The discount is:After a $49 discount on a $140 dress, the sale price is:Jeannette buys a $31 swimsuit at a sale price of $13.95. The amount of discount is:With a $17.05 discount on a $31 swimsuit, the discount rate is:The price a retailer pays for an item is called the:The list price should always be:Adam buys a photograph at $250 and marks it up 40%. The mark-up is:With a $100 mark-up on a $250 photograph, the list price is:Jim's music store buys a guitar at $1,200 and marks it up 50%. The mark-up is:Sergio buys a belt discounted 40% from an original price of $29. The discount is:Oscar buys a barbecue discounted 65% from an original price of $395. The sale price is:Pete can paint a room in 10 hours. Working steadily, how much of the room does he paint in one hour?Alicia would take 8 hours to paint the same room alone. Her share of the job in one hour is:Pete needs 10 hours and Alicia 8 hours for the same room. Together their hourly share of the job is:Working together at those rates, Pete and Alicia paint the room in about:One gardener mows a golf course in 4 hours and another takes 6 hours. Together they finish in:Carrie can weed the garden in 7 hours and her mother in 3 hours. Together they take:Tom paints the den in 45 minutes and Bobby in 60 minutes. Together they need about:A job on Press #1 takes 6 hours. In one hour that press completes:With both presses running the job takes 4 hours. Press #1 alone takes 6 hours, so Press #2 alone takes:Corey shovels the snow in 4 hours. With his twin Casey they finish in 2 hours, so Casey alone would take:Two workers finish a job in exactly the same time each. If one alone takes 8 hours, together they take:Judy pilots her powerboat 5 miles into a 7 mph wind in the time she covers 12 miles with a 7 mph tailwind. HerHamilton rides 12 miles downhill, then back uphill at 8 mph slower, taking 2 hours longer. His downhill speed On that same ride, Hamilton's uphill speed works out to:Tony drives 4 hours in all, 208 miles on the interstate and 40 on country roads, going 15 mph faster on the inOn that drive, Tony's interstate speed was:A plane's ground speed with a tailwind of 30 mph, if the plane itself flies at 150 mph, is:Flying into that same 30 mph wind, the same plane's ground speed would be:In work problems, the parts of the job done by each worker in one hour add up to:Converting two fifths of an hour into minutes gives:A worker finishing in 5 hours and another in 20 hours together do what share of the job each hour?Those two workers, at that combined rate, finish the whole job in: