Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A man's salary was increased by 10% to ₹55,000. What was his original salary?
₹50,000
₹48,000
₹52,000
₹49,500
Correct answer
₹50,000
Rahim earns ₹15,000 per month, and Ami earns ₹1,92,000 per annum. If both spend ₹10,000 per month, what is the ratio of their savings?
4 : 5
2 : 3
5 : 6
1 : 2
Correct answer
4 : 5
A person drives to his office at 40 km/h and reaches 15 minutes late. If he drives at 60 km/h, he reaches 10 minutes early. What is the distance to his office?
50 km
60 km
45 km
40 km
Correct answer
50 km
A vehicle covers 90 km with a speed of 45 km/h and then another 90 km with a speed of 85 km/h. What is the overall average speed of the vehicle?
51 km/h
52.5 km/h
58.85 km/h
57 km/h
Correct answer
51 km/h
The average of five numbers is 28. If one number is removed, the average becomes 25. What is the removed number?
40
35
30
45
Correct answer
40
A student scored 72 marks in an exam and failed by 8 marks. If the pass percentage is 40%, what was the total mark?
180
200
210
220
Correct answer
180
A shopkeeper buys a watch for ₹400 and sells it at a profit of 12.5%. What is the selling price?
₹440
₹450
₹460
₹470
Correct answer
₹440
If the profit on an item is 15% and the cost price is ₹800, find the selling price.
₹880
₹920
₹840
₹960
Correct answer
₹880
A shopkeeper gives two successive discounts of 10% and 5%. What is the net discount percentage?
15%
14.5%
14%
13.5%
Correct answer
15%
A shopkeeper allows two successive discounts of 20% and 10% on an article marked at ₹5,000. If he still earns a profit of 12%, what is the cost price of the article?
₹3,000.65
₹3,200.25
₹3,214.29
₹3,500.65
Correct answer
₹3,000.65
If 6 men can complete a task in 20 days, how many days will 12 men take to finish the same task?
10 days
12 days
9 days
11 days
Correct answer
10 days
B alone can finish a piece of work in 15 days, but with A's help, they complete it in 6 days. In how many days can A alone finish the work?
9 days
10 days
12 days
11 days
Correct answer
9 days
A train 200 m long passes a pole in 20 seconds. What is its speed?
36 km/h
40 km/h
45 km/h
50 km/h
Correct answer
36 km/h
A train 200 meters long is traveling at a speed of 72 km/h. How long will it take to pass a platform 100 meters long?
36 seconds
45 seconds
15 seconds
40 seconds
Correct answer
36 seconds
If a sum of ₹3,000 amounts to ₹3,600 at a simple interest rate of 8%, find the time.
3 years
2.5 years
2 years
4 years
Correct answer
3 years
The perimeter of a triangle is 24 cm. If two sides are 8 cm and 10 cm, what is the third side?
4 cm
6 cm
5 cm
7 cm
Correct answer
4 cm
A tangent XY at point X of a circle with radius 7 cm meets a line through the center O at point Y such that OY = 25 cm. What is the length of the tangent XY?
79
65
24
47
Correct answer
79
An ice cream cone is shaped like a cone having radius of 3.5 cm and a height of 12 cm. How much ice cream (in cm3) can it hold?
154 cm3
162 cm3
154.5 cm3
147 cm3
Correct answer
154 cm3
A tank in the shape of a hemisphere is filled with water. The water is then transferred to a cylindrical container with the same radius. What fraction of the cylinder is filled?
3/4
2/3
7/9
5/6
Correct answer
3/4
A rectangular parallelepiped has dimensions 4 cm × 3 cm × 2 cm. Find its total surface area.
48 cm2
52 cm2
54 cm2
56 cm2
Correct answer
48 cm2
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.