Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A diver was swimming at a depth of -30 meters below sea level. She then ascended 18 meters towards the surface.
What is her new position relative to sea level?
-12 meters
48 meters
+12 meters
18 meters
Correct answer
-12 meters
Which number set includes all integers and rational numbers?
Natural numbers
Real numbers
Whole numbers
Irrational numbers
Correct answer
Natural numbers
What is 125/21 as a mixed number?
5(20/21)
5(21/20)
12(5/21)
5(125/21)
Correct answer
5(20/21)
A factory uses 18.75 liters of a chemical each day. On Monday, it used only 2/3 of the daily amount. On Tuesday, it used 25% more than it did on Monday. How much chemical was used in total over the two days?
28.125 liters
27.25 liters
26.75 liters
25.0 liters
Correct answer
28.125 liters
How many natural numbers are there between 112 and 122?
20
21
22
23
Correct answer
20
A recipe needs 3 cups of flour to make 12 muffins. How many cups of flour are needed to make 20 muffins in the same proportion?
4 cups
5 cups
6 cups
7 cups
Correct answer
4 cups
The average weight of 3 students is 45 kg. If one more student weighing 51 kg joins, what's the new average weight after the student joins?
46.5 kg
47 kg
48 kg
49 kg
Correct answer
46.5 kg
In a city, there are 4,500 females for every 5,000 males. What is the sex ratio in this city (number of females per 1000 males)?
850
880
900
867
Correct answer
850
The average of a set of 8 numbers is 36. If one number, 48, is replaced by 24, what is the new average?
34
32
33
37
Correct answer
34
In a basket of fruits, 60% are apples and 25% are oranges. What percentage are mangoes?
10%
15%
20%
25%
Correct answer
10%
The population of a village is 12,000. If it increases by 10% the first year and decreases by 5% the next year, what is the population after 2 years?
34570
12540
12000
21570
Correct answer
34570
What is the selling price if the cost price is ₹400 and the profit is 25%?
₹450
₹500
₹525
₹600
Correct answer
₹450
A trader buys 80 pens for ₹2,400. He sells 60 of them at ₹40 each and the remaining at ₹25 each. What is his profit or loss percentage?
0.3533
0.8917
0.2083
0.5897
Correct answer
0.3533
A store offers two successive discounts on a product: the first is 12%, and the second is 8%. What is the single equivalent discount percentage?
19.04
20
18.45
17.5
Correct answer
19.04
A trader allows a 25% discount on the marked price and still makes a profit of 20%. If the cost price of the article is ₹1,200, what is the marked price?
₹1,920
₹1,500
₹1,800
₹1,600
Correct answer
₹1,920
A and B can complete a work in 8 days. B alone can do it in 12 days. In how many days will A alone complete the work?
18 days
24 days
20 days
16 days
Correct answer
18 days
A and B complete a work in 15 days. B alone takes 25 days. In how many days will A alone complete the work?
37.5 days
40 days
45 days
50 days
Correct answer
37.5 days
A car travels 150 km in 3 hours. What is its speed?
85 km/h
50 km/h
55 km/h
60 km/h
Correct answer
85 km/h
A car takes 6 hours to cover a distance of 300 km. If its speed is increased by 10 km/h, how much time will it take?
5 hours
4.5 hours
5.5 hours
4 hours
Correct answer
5 hours
A sum fetches ₹2,400 as interest in 5 years at 8% per annum. What is the principal?
₹6,000
₹5,000
₹4,800
₹5,500
Correct answer
₹6,000
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.