Ratio and Proportion Quiz

If X/Y = 8/9, then 5x−4y/3x+2y is

• 21: 2

• 21: 13

• 2: 21

• 13: 21

In a fun math class, Anika, Krish, and Aarush are exploring the relationships between different quantities. They discover that if A: B = 2: 3 and B: C = 4: 5, can you help them find out what C: A is? Let's see if you can solve this puzzle!

• 15:8

• 12: 10

• 8: 5

• 8: 15

Hey there, math wizards! Rahul, Shreya, and Siya are on a quest to find the fourth proportional to their favorite numbers: 12, 14, and 18. Can you help them out? What is the magical number that completes their set?

• 21

• 20

• 22

• 28/3

Siya and Shreya are two friends who love solving math puzzles! One day, they stumbled upon a challenge: the difference between their two favorite numbers is 10, and the ratio of these numbers is 5:3. Can you help them find the product of these two magical numbers?

• 375

• 175

• 275

• 125

Arjun and Sneha are playing a fun game with numbers! They have two secret numbers that are in the ratio 3 : 5. But wait! If they both subtract 9 from their numbers, the new numbers will be in the ratio 12 : 23. Can you help them find out what the product of their original two numbers is?

• 1875

• 33396

• 1815

• 33296

One sunny afternoon, Aisha, Akhil, and Mira decided to play a fun game with coins! They found a bag filled with 50 paise, 25 paise, and 10 paise coins, all mixed up in a magical ratio of 5: 9: 4. After counting, they discovered that the total value of the coins amounted to Rs.206. Can you help them figure out the total number of 25 and 10 paise coins in the bag?

• 200

• 360

• 420

• 520

Once upon a time, in a vibrant school, Myra and Aanya were best friends. If the ratio of their ages is 6:5 right now, can you imagine how old they will be fifteen years from now? The excitement builds as their age ratio will change to 9:8! Can you help figure out Aanya’s age after four years?

• 24 years

• 30 years

• 34 years

• 29 years

Incomes of abhi and banu are in the ratio 4: 3 and their annual expenses in the ratio 3: 2. If each save Rs. 60,000 at the end of the year, the annual income of abhi is:

• Rs.20,000

• Rs.1,50,000

• Rs. 2,40,000

• Rs. 3,60,000

Once upon a time, in a bustling market, Sanya stumbled upon a magnificent diamond that sparkled like the stars. The cost of this diamond was said to vary directly as the square of its weight. However, fate had other plans! The diamond broke into four pieces, with weights in the ratio of 1:2:3:4. When Ria and Aarush helped Sanya sell these pieces, they discovered that the merchant ended up with Rs. 70,000 less than what they expected. Can you help them find out the original price of the diamond?

• Rs.1.4 lakh

• Rs.2 lakh

• Rs. 1 lakh

• Rs. 2.1 lakh

Dhruv and Arnav have a total of 94 candies, and they decide to split them into two parts. However, there's a twist! The fifth part of Dhruv's candies and the eighth part of Arnav's candies are in the magical ratio of 3 : 4. Can you figure out how many candies Arnav gets?

• 64

• 28

• 36

• 40