Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A cylindrical container has a diameter of 14cm and a height of 10cm. How much water (in litres) can it hold?
1.40 L
1.54 L
1.60 L
1.75 L
Correct answer
1.40 L
A right rectangular prism has dimensions 10 cm x 6 cm x 8 cm. What is its total surface area?
360 cm²
376 cm²
400 cm²
448 cm²
Correct answer
360 cm²
A, B and C can do a piece of work in 20, 30 and 50 days, respectively. In how many days can A do the work, if he is assisted by B and C on every second day?
13 days
19 days
15 days
21 days
Correct answer
13 days
If the radius of the circle is 3cm. What is the length of the longest chord of the circle?
3 cm
6 cm
9 cm
12 cm
Correct answer
3 cm
Find the total surface area of a solid hemisphere whose radius is 10 cm.
942 cm²
842 cm²
954 cm²
865 cm²
Correct answer
942 cm²
A square pyramid has a base of side 14 cm. If the slant height from the apex to the center of one of the base edges is 17 cm, find the vertical height of the pyramid.
14.49 cm
13.49 cm
16.49 cm
15.49 cm
Correct answer
14.49 cm
If the volume of a cone is 9856 cm³ and the diameter of its base is 14 cm, what is the height of the cone?
152 cm
165 cm
192 cm
265 cm
Correct answer
152 cm
If the centroid of a triangle is (5,5) and two vertices are (2,3) and (4,7), the third vertex is:
(5,9)
(9,5)
(7,5)
(5,7)
Correct answer
(5,9)
Two circles of radii 12.5 cm and 7.5 cm are concentric. The length of a chord of the outer circle which touches the inner circle is
16 cm
18 cm
20 cm
22 cm
Correct answer
16 cm
The exterior angles of a triangle are given as 2x, 3x, and 4x. What is the measure of the triangle's smallest interior angle?
100°
80°
40°
20°
Correct answer
100°
The average weight of 5 boys is 60 kg.
If one boy weighing 75 kg leaves, what is the new average weight?
56.25 kg
57.5 kg
58.75 kg
59 kg
Correct answer
56.25 kg
The average weight of 7 boxes is 12 kg.
What is the total weight?
74 kg
72 kg
78 kg
84 kg
Correct answer
74 kg
A juice vendor mixes orange juice at ₹30/litre with water (free) to get a mixture worth ₹24/litre.
What is the ratio of juice to water?
5:2
3:1
4:1
3:2
Correct answer
5:2
A man bought 30 pens at 12 each and 20 pens at ₹15 each. He sold all pens at ₹18 each.
What is his total profit?
₹240
₹280
₹360
₹310
Correct answer
₹240
The population of a village increased from 20,000 to 23,000 in a year.
What is the percentage increase?
13%
12%
10%
15%
Correct answer
13%
The price of petrol rises by 8%.
If the old price was 80 per litre, what is the new price?
₹87.60
₹86.40
₹85.40
₹88.00
Correct answer
₹87.60
A product is sold at 25% profit.
If the cost price is 240, find the selling price.
₹300
₹280
₹320
₹290
Correct answer
₹300
A person bought an item for ₹1200 and sold it for ₹1320.
Find the profit percentage.
8%
12%
10%
15%
Correct answer
8%
A jeep covers a distance of 180 km at a certain speed. If the speed is increased by 15 km/h, it takes 1 hour less. Find the original speed.
45 km/h
50 km/h
75 km/h
60 km/h
Correct answer
45 km/h
Raju and Pintu together can clean a garden in 10 hours.
If Raju alone can do it in 15 hours, how many hours will Pintu alone take?
20 hours
30 hours
25 hours
40 hours
Correct answer
20 hours
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.