Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The average age of 5 friends is 24 years. If two new friends join the group, with one aged 25 years and another aged 30 years, what will be the new average age of the expanded group?
24 years
24.5 years
25 years
25.5 years
Correct answer
24 years
In a class, 60% of the students are boys and the rest are girls. If 40% of the boys and 50% of the girls passed a test, what percentage of the total students passed the test?
44%
45%
52%
50%
Correct answer
44%
The square of 27x27:
726
756
729
780
Correct answer
726
If a recipe calls for 0.625 liters of milk, how many ml is that?
625 ml
6.25 ml
62.5 ml
6250 ml
Correct answer
625 ml
A scholar was asked to find the arithmetic mean of the numbers 4, 11, 7, 9, 16, 13, 8, 19, 18, 21, 12 and x. He found the mean to be 12. What should be the number in place of x?
8
5
6
7
Correct answer
8
A certain quantity of wheat is sufficient for 200 people for 30 days. If 50 more people join them, for how many days will the same quantity of wheat last?
20 days
24 days
25 days
28 days
Correct answer
20 days
A man bought an old car for ₹15000. He spent ₹2500 on its repairs and then sold it for ₹19250. What is his percentage profit?
10%
12.5%
15%
20%
Correct answer
10%
The marked price of a shirt is ₹600. A customer gets two successive discounts of 10% and 5%. What is the final price paid?
₹480
₹510
₹513
₹540
Correct answer
₹480
The marked price of a mobile is ₹10,000. A customer is offered two successive discounts of 20% and 10%.
What is the total discount received?
₹3000
₹2800
₹2700
₹2500
Correct answer
₹3000
A shopkeeper sells his goods at 60% of their cost price. Find the percent gain or losses.
40%
35%
50%
30%
Correct answer
40%
A, B, and C can complete a work in 20, 30, and 60 days respectively. In how many days can they finish the work together?
10 days
8 days
12 days
15 days
Correct answer
10 days
A man covers a certain distance by car in 5 hours. If he increases his speed by 12 km/h, he takes one hour less to cover the same distance. What is the original speed of the car?
48 km/h
50 km/h
60 km/h
55 km/h
Correct answer
48 km/h
A can do a work in 12 days, B in 16 days. A works for 3 days, then B joins and they complete the remaining work together.
How many total days did it take to complete the work?
9 days
10 days
8.14 days
7.5 days
Correct answer
9 days
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 180 girls, the total number of students in the college is:
468
200
416
326
Correct answer
468
If the simple interest on ₹ 15,000 for 4 years is ₹ 3,600, what is the rate of interest?
5%
6%
7%
8%
Correct answer
5%
Shyam collection contains Canada, Indian and British stamps. If the ratio of Canada to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of Canada to British stamps?
20 : 2
22 : 4
25 : 2
22 : 1
Correct answer
20 : 2
In a circle with center O, a chord AB is such that ∠AOB = 130°. What is the measure of ∠ACB, where C lies on the arc AB?
30°
70°
65°
60°
Correct answer
30°
A person takes 2 hours to travel a certain distance by scooter. Returning over the same distance, he increases his speed by 10 km/h and takes 1.6 hours. What was his original speed?
40 km/h
45 km/h
50 km/h
55 km/h
Correct answer
40 km/h
A triangle has angles in the ratio 2:3:4. What are the angles?
30°, 45°, 105°
40°, 60°, 80°
36°, 54°, 90°
20°, 60°, 100°
Correct answer
30°, 45°, 105°
A cone has a slant height of 13 cm and a vertical height of 5 cm. What is the radius of the base?
12 cm
10 cm
9 cm
8 cm
Correct answer
12 cm
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.