Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A shopkeeper buys an item for 250 and earns 20% profit.
What is the selling price?
₹280
₹290
₹300
₹310
Correct answer
₹280
A trader bought goods for ₹1200 and sold them for ₹1320.
Find the profit percentage.
8%
9%
10%
12%
Correct answer
8%
In a school, the ratio of boys to girls is 5:4.
If there are 180 pupils, how many are girls?
70
72
75
80
Correct answer
70
A depositor received 1600 as simple interest over 5 years at 8% per annum.
What was the principal?
₹3800
₹3900
₹4000
₹4200
Correct answer
₹3800
Determine the approximate area of a triangle given that its 4: 7: 9. If the perimeter is 160 cm.
769.6 cm²
858.7 cm²
439.7 cm²
659.1 cm²
Correct answer
769.6 cm²
A train running at 90 km/h crosses a platform 180 m long in 30 seconds. Find the leng ength of the train.
300 m
420 m
440 m
570 m
Correct answer
300 m
The average length of three pieces of rope is 12 meters. If the lengths are in the ratio 2:3:4, what is the length of the longest piece?
16 m
18 m
20 m
22 m
Correct answer
16 m
Evaluate : \(\sqrt{6-\sqrt{6-\sqrt{6- .... }}}\)
2
3
6
1
Correct answer
2
The base of a right prism is an isosceles triangle with equal sides of 13 cm and a base of 24 cm. The height of the prism is 6 cm. Find the volume of the prism.
780 cm3
120 cm3
380 cm3
360 cm3
Correct answer
780 cm3
The lateral surface area of a right triangular prism is 288 cm². If the lengths of the smaller bases of the triangular base are 6 cm and 8 cm, find the height of the prism.
13 cm
14 cm
15 cm
12 cm
Correct answer
13 cm
Goods cost ₹500. The trader marks them 40% above cost and then gives a 25% discount.
What is the selling price?
₹600
₹610
₹525
₹625
Correct answer
₹600
The diameter of a circle increases from 14 cm to 21 cm.
Find the percentage increase in area,
50%
125%
75%
100%
Correct answer
50%
A fan was purchased for ₹600 and sold for ₹450.
Find the loss percentage.
20%
22%
23%
25%
Correct answer
20%
A man buys 6 pens and 2 pencils for 180. If the cost of one pencil is 10 more than the cost of one pen, find the cost of one pen.
6.5
8.5
7.5
9.5
Correct answer
6.5
The price of sugar increases by 25%. By what percentage should a family reduce its consumption so that the expenditure remains the same?
30%
20%
40%
15%
Correct answer
30%
A is twice as efficient as B. Together they finish a job in 12 days. How long will B take alone?
24 days
36 days
30 days
40 days
Correct answer
24 days
A can do a work in 8 days, B in 12 days, C in 24 days. How many days will they take together?
7 days
6 days
4 days
5 days
Correct answer
7 days
Two cars have a speed ratio of 5:7. If the slower car travels 300 km in 5 hours, find the speed of the faster car.
70 km/h
80 km/h
84 km/h
90 km/h
Correct answer
70 km/h
The average height of 30 trees in a garden is 15 feet. If the average height of 18 trees is 16 feet, what is the average height of the remaining 12 trees?
13.5 feet
25.6 feet
15.6 feet
18.9 feet
Correct answer
13.5 feet
Solve \(\sqrt{30-\sqrt{30-\sqrt{30-....}}} \)
6
10
5
3
Correct answer
6
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.