Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Out of 500 students, 60% are girls. 25% of the girls play football. How many girls play football?
60
65
70
75
Correct answer
60
The cost price of an item is ₹150, and it is sold for ₹135. What is the percentage loss?
8%
10%
12%
15%
Correct answer
8%
A product costs ₹600 and is sold for ₹540. What is the loss percentage?
5%
10%
12%
15%
Correct answer
5%
A cycle is marked at ₹4,500 and sold for ₹3,600. What is the percentage discount?
18%
20%
25%
22%
Correct answer
18%
A shopkeeper sells a dress at 15% discount and still makes a 10% profit. What is the cost price if the marked price is ₹2,000?
₹1,500.85
₹1,700.00
₹1545.45
₹1,800.25
Correct answer
₹1,500.85
A can complete a work in 12 days and B can complete it in 8 days. How long will they take together?
4.8 days
5 days
6 days
5.5 days
Correct answer
4.8 days
A can complete a piece of work in 20 days, and B can do the same work in 30 days. If they work together for 5 days, what fraction of the work remains to be done?
7/12
3/5
2/3
1/2
Correct answer
7/12
A bus travels 90 km in 2 hours and returns in 3 hours. What is the average speed?
30 km/h
36 km/h
32 km/h
28 km/h
Correct answer
30 km/h
Two cyclists start simultaneously from points X and Y, which are 150 km apart, and head towards each other. They meet after 3 hours. If the speed of one cyclist is 25 km/h, what is the speed of the other cyclist?
76 km/h
47 km/h
25 km/h
89 km/h
Correct answer
76 km/h
At what annual simple interest rate will a sum of money double itself in 8 years?
7.7
12.5
24.6
34.5
Correct answer
7.7
What is the area of a triangle with base 12 cm and height 10 cm?
60 cm2
50 cm2
70 cm2
80 cm2
Correct answer
60 cm2
How many tangents can a circle have?
infinitely many
2
1
10
Correct answer
infinitely many
A conical party hat has a slant height of 10 cm and a radius of 7 cm. What is its curved surface area? (Use π=3.14)
220 cm2
219.8 cm2
225 cm2
215 cm2
Correct answer
220 cm2
A solid hemisphere with radius 8 cm is painted. Find its total surface area.
602.8 cm2
704.8 cm2
805.6 cm2
900 cm2
Correct answer
602.8 cm2
A cube is a special type of rectangular parallelepiped where: Which of the following correctly describes why a cube is considered a special type of rectangular parallelepiped?
All edges (sides) are of equal length.
The length, breadth, and height are all different.
The length and breadth are equal, but greater than the height.
The length is greater than the breadth, which equals the height.
Correct answer
All edges (sides) are of equal length.
√2 + √3 is classified as:
Rational
Integer
Whole Number
Irrational
Correct answer
Rational
Fill in the blank: Every real number is either rational or _____.
Natural
Whole
Integer
Irrational
Correct answer
Natural
3.25 as a mixed number is:
\( 3(2/5)\)
\( 3 (25/100)\)
\( 3(1/4)\)
\( 3 (1/7)\)
Correct answer
\( 3(2/5)\)
A tank holds 27.5 liters of water. If a leak causes 3/8 of the water to drain out, how much water remains in the tank (in liters)?
17.1875 L
10.3125 L
17.25 L
10.5 L
Correct answer
17.1875 L
What is the unit digit (ones place) of the square of 84?
4
6
8
2
Correct answer
4
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.