A mason is building a house in the shape shown. To build a wall of 10 feet, he requires approximately 1450 bricks. How many bricks would he need to build both the outer walls and the inner wall that separates two rooms? Assume all walls are of the same height and thickness.
  • 10,150 bricks
  • 12,180 bricks
  • 13,050 bricks
  • 14,500 bricks
Puneeth’s father went from Lucknow to Kanpur in 2 hours by riding his motorcycle at a speed of 50 km/h. If he drives at 75 km/h, how long will it take him to reach Kanpur (for the same route)?
  • 2 hours
  • 1 hour 20 minutes
  • 1 hour 30 minutes
  • 2 hours 15 minutes
Can this travel-time problem be modelled as the proportion 50 : 2 :: 75 : x?
  • Yes, because speed and time are directly proportional.
  • No, because speed and time are inversely proportional for a fixed distance.
  • Yes, because the ratios remain equal for the same distance.
  • Cannot be decided without knowing the distance.
For the sample data of one shampoo brand—Sachet: 6 mL at ₹2; Small bottle: 180 mL at ₹154; Medium bottle: 340 mL at ₹276; Large bottle: 1000 mL at ₹540—are the prices proportional to the volumes?
  • Yes, the prices are proportional to the volumes.
  • No, the prices are not proportional to the volumes.
  • They are proportional only for the medium and large bottles.
  • They are proportional only for the sachet and small bottle.
Comparing a sachet (6 mL at ₹2) to a small bottle (180 mL at ₹154), are the ratios of volume and price proportional?
  • Yes, both ratios simplify to the same value.
  • No, because 6 : 180 is not proportional to 2 : 154.
  • Yes, because both are packages of the same product.
  • Cannot be determined without more data.
Why is the ratio of prices often not proportional to the ratio of volumes for the same shampoo in different-size containers?
  • Smaller packages have higher packaging and distribution cost per unit volume, increasing price per mL.
  • The listed volumes are incorrect for smaller packages.
  • Taxes make larger bottles cost much more per mL than sachets.
  • Companies always offer the biggest discount on sachets, making them cheaper per mL.
You collect 12 counters and divide them equally between two people. What is the ratio of the number of counters with each person?
  • 1 : 1
  • 2 : 1
  • 3 : 1
  • 5 : 7
If your partner gets 5 counters (out of 12), how many counters do you get and what is the ratio of your partner’s counters to yours?
  • 7 counters; 5 : 7
  • 7 counters; 7 : 5
  • 6 counters; 1 : 1
  • 5 counters; 1 : 1
If you want to share 12 counters between two people in the ratio 3 : 1, how many counters would each person get?
  • 6 and 6
  • 9 and 3
  • 8 and 4
  • 10 and 2
You want to share 42 counters between two people in the ratio 4 : 3. What is the size of each group when the whole is divided into groups according to the ratio?
  • 4
  • 6
  • 7
  • 12
When sharing 42 counters in the ratio 4 : 3, how many counters does each person receive?
  • 24 and 18
  • 28 and 14
  • 21 and 21
  • 30 and 12
In Himachal, 200 g of tea costs ₹200. What is the cost of 1 kg of tea in Himachal Pradesh?
  • ₹800
  • ₹1,000
  • ₹1,200
  • ₹1,400
Prashanti and Bhuvan started a food cart business near their school. Prashanti invested ₹75,000 and Bhuvan invested ₹25,000. At the end of the first month, they gained a profit of ₹4,000. They agreed to share the profit in the same ratio as their investment. What is each person’s share of the profit?
  • Prashanti ₹3,000 and Bhuvan ₹1,000
  • Prashanti ₹2,500 and Bhuvan ₹1,500
  • Prashanti ₹2,000 and Bhuvan ₹2,000
  • Prashanti ₹3,500 and Bhuvan ₹500
A mixture of 40 kg contains sand and cement in the ratio 3:1. How much cement should be added to the mixture to make the ratio of sand to cement 5:2?
  • 2 kg
  • 4 kg
  • 6 kg
  • 8 kg
Divide ₹4,500 into two parts in the ratio 2:3. What are the two parts?
  • ₹1,800 and ₹2,700
  • ₹2,000 and ₹2,500
  • ₹2,250 and ₹2,250
  • ₹1,500 and ₹3,000
In a science lab, acid and water are mixed in the ratio 1:5 to make a solution. In a bottle that has 240 mL of the solution, how much acid and how much water does the solution contain?
  • 40 mL acid and 200 mL water
  • 30 mL acid and 210 mL water
  • 20 mL acid and 220 mL water
  • 50 mL acid and 190 mL water
Blue and yellow paints are mixed in the ratio 3:5 to produce green paint. To produce 40 mL of green paint, how many millilitres of blue and yellow are needed? Afterward, 20 mL of yellow is added to the mixture. What is the new ratio of blue to yellow in the paint?
  • 15 mL blue and 25 mL yellow; new ratio 3:5
  • 12 mL blue and 28 mL yellow; new ratio 3:7
  • 15 mL blue and 25 mL yellow; new ratio 3:7
  • 20 mL blue and 20 mL yellow; new ratio 1:1
To make soft idlis, rice and urad dal are mixed in the ratio 2:1. If 6 cups of this mixture are needed, how many cups of rice and how many cups of urad dal will be required?
  • 4 cups rice and 2 cups urad dal
  • 3 cups rice and 3 cups urad dal
  • 2 cups rice and 4 cups urad dal
  • 5 cups rice and 1 cup urad dal
One bucket of orange paint is made by mixing red and yellow paints in the ratio 3:5. If another equal-sized bucket of yellow paint is added to this mixture, what is the ratio of red paint to yellow paint in the new mixture?
  • 3:10
  • 3:5
  • 6:10
  • 3:8
Anagh mixes 600 mL of orange juice with 900 mL of apple juice to make a fruit drink. What is the ratio of orange juice to apple juice in its simplest form?
  • 2:3
  • 3:2
  • 4:5
  • 5:4
0 h : 0 m : 1 s

Answered Not Answered Not Visited Correct : 0 Incorrect : 0