Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A student scores an average of 70 marks in the first 4 tests. What must he score in the 5th test to have an overall average of 75?
90
95
85
80
Correct answer
90
A shopkeeper sells 5 types of fruits. The average cost of each fruit is ₹40. What is the total cost of all fruits?
₹210
₹180
₹200
₹220
Correct answer
₹210
A fruit seller mixes mangoes bought at ₹60/kg and 40/kg in equal quantity. What is the cost price per kg of the mixture?
₹55
₹52
₹50
₹60
Correct answer
₹55
A tank in a Kolkata laboratory contains a solution of salt and water in the ratio 5:3. If 16 litres of water is added, the ratio becomes 5:4, Find the original quantity of solution.
164 litres
128 litres
110 litres
92 litres
Correct answer
164 litres
A student scored 75% marks in an exam of 600 marks. How many marks did the student obtain?
450
475
400
460
Correct answer
450
An article bought for ₹150 is sold for ₹135. Find the loss percentage.
8%
12%
15%
10%
Correct answer
8%
A shopkeeper bought an article for ₹2500 and sold it at a profit of 12%. What is the selling price?
₹2700
₹2805
₹2800
₹2850
Correct answer
₹2700
A man walking at 6 km/h reaches the market in 40 minutes. If he walks at 4 km/h, how long will he take to reach the market?
50 minutes
60 minutes
80 minutes
70 minutes
Correct answer
50 minutes
Rani can complete a stitching order in 24 days. After working for 6 days, her sister joins her, and they finish it in 10 more days. In how many days can her sister alone complete the work?
30
24
36
48
Correct answer
30
A and B together can do a piece of work in 8 days. B and C can do it in 12 days, and C and A can do it in 16 days. In how many days can A alone do the work?
19.2
21
24.5
30
Correct answer
19.2
A copper sphere of diameter 12 cm is drawn into a wire of diameter 8 cm. Find the length of the wire.
18 cm
38 cm
20 cm
28 cm
Correct answer
18 cm
A cuboid has length 7 cm, breadth 3 cm, and height 4 cm. Its surface area is:
122 cm²
134 cm²
142 cm²
158 cm²
Correct answer
122 cm²
The volume of a sphere is 288π cm³. Find the surface area of the sphere.
144π cm²
72π cm²
288π cm²
576π cm²
Correct answer
144π cm²
A fish tank has dimensions of 90 cm long, 50 cm width, and 40 cm height. How many liters of water can it hold when completely full? (Given: 1m³ = 1000 liters, and 1 m = 100cm )
180 liters
18 liters
1800 liters
1.8 liters
Correct answer
180 liters
What is the total number of square tiles, each with a side length of 10 cm, required to completely cover the surface area of a cuboid that measures 60 cm by 40 cm by 30 cm?
54
108
216
1080
Correct answer
54
A small container for chemicals has dimensions 20 cm x 20 cm x 15 cm. If it is filled to 10% of its volume, what is the amount of liquid (in liters) inside?
0.06 liters
0.6 liters
6 liters
60 liters
Correct answer
0.06 liters
A cone is cut by a plane parallel to its base, 1/3rd from the top. What is the ratio of the volumes of the smaller top cone to the whole cone?
1:27
2:17
3:17
5:27
Correct answer
1:27
The height of a right circular cone is trisected by two planes parallel to its base. What is the ratio of the three volumes (top to bottom)?
1:7:19
1:8:28
1:3:10
None of the above
Correct answer
1:7:19
A right prism has a square base with side 10 cm. The height of the prism is 12 cm. What is the total surface area?
1440 cm²
160 cm²
680 cm²
200 cm²
Correct answer
1440 cm²
X + Y = 20 and XY = 120 what is the value of (X)² + (Y)² = ?
160
120
200
221
Correct answer
160
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.