Last year, 3 buses carried a total of 162 students and teachers for a school trip, and all buses were full. This year there are 204 students. Assuming the same bus capacity as last year, how many buses are needed this year, and will every bus be full?
  • 4 buses; not all will be full
  • 4 buses; all will be full
  • 5 buses; all will be full
  • 3 buses; all will be full
The area of Delhi is 1,484 sq. km and the area of Mumbai is 550 sq. km. The population of Delhi is approximately 30 million and that of Mumbai is 20 million. Which city is more crowded and why?
  • Mumbai, because it has a higher population density
  • Delhi, because it has a higher population density
  • Mumbai, because it has a larger area
  • Delhi, because it has a smaller area
A crane is 155 cm tall, and the ratio of the length of its neck to the rest of its body is 4:6. If a person’s neck and the rest of the body also have this ratio, what fraction of the person’s total height would be the length of the neck?
  • 1/2 of the height
  • 2/5 of the height
  • 3/5 of the height
  • 4/10 of the height
In Lilavati, “If 2 1/2 palas of saffron cost 3 niskas, what quantity of saffron can be bought for 9 niskas?”
  • 7 1/2 palas
  • 6 palas
  • 9 palas
  • 5 palas
Harmain is a 1-year-old girl. Her elder brother is 5 years old. After how many years will the ratio of Harmain’s age to her brother’s age become 1:2, and how old will Harmain be then?
  • After 3 years; Harmain will be 4 years old
  • After 2 years; Harmain will be 3 years old
  • After 4 years; Harmain will be 5 years old
  • After 1 year; Harmain will be 2 years old
The mass of equal volumes of gold and water are in the ratio 37:2. If the mass of 1 litre of water is 1 kg, what is the mass of 1 litre of gold?
  • 18.5 kg
  • 37 kg
  • 2 kg
  • 9.25 kg
It is good farming practice to apply 10 tonnes of cow manure per acre of land. A farmer plans to grow tomatoes in a plot of size 200 ft by 500 ft. Approximately how much manure should he buy for this plot?
  • 23 tonnes
  • 20 tonnes
  • 10 tonnes
  • 15 tonnes
A tap takes 15 seconds to fill a mug of water whose volume is 500 mL. How much time will the same tap take to fill a bucket of water if the bucket has a 10-litre capacity?
  • 5 minutes
  • 10 minutes
  • 7.5 minutes
  • 2.5 minutes
One acre of land costs ₹15,00,000. What is the cost of 2,400 square feet of the same land?
  • ₹82,656
  • ₹60,000
  • ₹34,440
  • ₹1,50,000
A pair of oxen takes 6 hours to plough an acre of land. A tractor can plough the same area 4 times faster than a pair of oxen. For a 20-acre field, how long will it take using the pair of oxen, and how long using the tractor?
  • 120 hours with oxen; 30 hours with tractor
  • 60 hours with oxen; 15 hours with tractor
  • 100 hours with oxen; 25 hours with tractor
  • 80 hours with oxen; 20 hours with tractor
The ₹10 coin is an alloy of copper and nickel in the ratio 3:1 by mass. The total mass of the coin is 7.74 grams. If copper costs ₹906 per kg and nickel costs ₹1,341 per kg, what is the total cost of the metals contained in one such coin?
  • About ₹7.86
  • About ₹5.81
  • About ₹10.00
  • About ₹6.50
Which statement best describes the relationship between x and y in the table?
  • Proportional
  • Not Proportional
Which graph is non-proportional?
  • A
  • B
  • C
  • D
Is this table proportional?
  • Yes
  • No
Is this graph proportional?
  • Yes
  • No
Why does this graph show a non-proportional relationship?
  • Because it is proportional
  • It goes through the origin
  • It does not go through the origin
  • It is a straight line
What is the unit rate in this proportional relationship?
  • 60 miles/1 hour
  • 120 miles/ 2 hours
  • 1 mile/ 1 hour
What is the total cost of tickets if there are 7 adults?
  • $600
  • $75
  • $500
  • $525
Determine the missing value in the table.
  • 15
  • 3
  • 1/3
  • 9
What letter is located at (5, 7)
  • A
  • B
  • C
  • D
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