The average of 5 numbers is 20. What is the sum of these numbers?
- AOption (a)
90
- BOption (b)
80
- COption (c)
100
- DOption (d)
120
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Correct answer
90
Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The average of 5 numbers is 20. What is the sum of these numbers?
90
80
100
120
Correct answer
90
The average age of a class of 30 students is 15 years. If the teacher's age is included, the average becomes 16 years. Find the teacher's age in years.
44
46
48
50
Correct answer
44
A 60-litre mixture of kerosene and petrol contains 75% kerosene. How much petrol is in the mixture?
20 litres
15 litres
45 litres
10 litres
Correct answer
20 litres
A mixture contains 36 litres of milk and water in the ratio 2:1. How much water must be added to make the ratio 1 : 1?
12 litres
8 litres
15 litres
10 litres
Correct answer
12 litres
In an election, candidate A got 45% of the votes and candidate B got 30%. What percentage of votes did others get?
15%
35%
20%
25%
Correct answer
15%
If a product price is decreased by 12% and then increased by 15%, what is the net percentage change in price?
2.8% increase
1.2% increase
1.5% increase
2.5% increase
Correct answer
2.8% increase
A shopkeeper buys an article for ₹500 and sells it for ₹600. What is the profit percentage?
10%
15%
20%
25%
Correct answer
10%
A trader sells an article at 15% profit. Had he sold it for 150 less, he would have incurred a 5% loss.
Find the cost price.
₹1000
₹1200
₹1300
₹750
Correct answer
₹1000
A train takes 45 seconds to pass a platform and 30 seconds to pass a man standing on the platform. If the train is 180 m long, what is the length of the platform?
100 m
90 m
180 m
150 m
Correct answer
100 m
X can complete a work in 2 days and Y in 4 days. How long will it take them to finish the work if they work together X
1/2 days
4/3 days
3/4 days
4/7 days
Correct answer
1/2 days
A small construction firm has 6 workers who can complete a road patching job in 8 days. If 4 more workers are added, how many days will they take to finish the same work?
7 days
6.5 days
5 days
4.8 days
Correct answer
7 days
5 men or 8 women can do a job in 12 days. aIn how many days will 10 men and 4 women together complete the same job?
4 days
4.8 days
5 days
7.5 days
Correct answer
4 days
If the ratio of the diameters of two spheres is 5:7, then what is the ratio of their surface areas?
25:47
49:25
25:48
25:49
Correct answer
25:47
Find the surface area of a rectangular parallelepiped with I = 3 cm, b = 2 cm, and h = 4 cm.
52 cm²
48 cm²
46 cm²
56 cm²
Correct answer
52 cm²
In a rectangular parallelepiped, if । = b = h,then it is called a:
Prism
Cube
Pyramid
Sphere
Correct answer
Prism
If a rectangular parallelepiped has volume 1020 cm³ and dimensions 8 cm and 15 cm, find its height.
8.6 cm
7.8 cm
7.5 cm
8.5 cm
Correct answer
8.6 cm
A spherical balloon has a radius of 8 cm. What is the ratio of the volume of the balloon to the volume of a smaller balloon with a radius of 4 cm?
1:4
8:1
1:16
1:2
Correct answer
1:4
The length of a cuboid is doubled, breadth halved, and height unchanged. How is the volume affected?
increases
decreases
unchanged
cannot be determined
Correct answer
increases
A cone and hemisphere have equal curved surface areas and the same radius. What is the ratio of their heights?
\(\sqrt{3}:1\)
\(\sqrt{3}:2\)
\(\sqrt{5}:1\)
\(\sqrt{5}:2\)
Correct answer
\(\sqrt{3}:1\)
A right prism has a trapezoidal base with parallel sides 5 cm and 9 cm, and height 6 cm. The height of the prism is 18 cm. What is the volume?
360 cm³
380 cm³
400 cm³
756 cm³
Correct answer
360 cm³
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.