Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A triangle has sides 6 cm, 8 cm, and 10 cm. What type of triangle is this?
Acute
Obtuse
Right-angled
Equilateral
Correct answer
Acute
From a point P, a tangent is drawn to a circle with center O. The radius is 9 cm, and the distance from O to P is 15 cm. What is the length of the tangent?
44 cm
12 cm
40 cm
46 cm
Correct answer
44 cm
A solid cone is melted and recast into smaller cones of the same height but half the radius. How many smaller cones can be made?
2
4
6
8
Correct answer
2
A hemisphere and a cylinder have the same radius and height. The ratio of their volumes is:
2 : 7
2 : 3
8 : 5
1 : 2
Correct answer
2 : 7
If the volume of a rectangular parallelepiped is 240 cm3 and its base area is 30 cm2, what is its height?
6 cm
8 cm
10 cm
12 cm
Correct answer
6 cm
Simplify the following expression and identify its nature:
\( (5\sqrt{3} \times \sqrt{12}) / \sqrt{2} \)
\( 15\sqrt{2} \), irrational number
30, rational number
\( 10\sqrt{6} \), irrational number
18, rational number
Correct answer
\( 15\sqrt{2} \), irrational number
Rational numbers are a subset of:
Natural numbers
Integers
Real numbers
Whole numbers
Correct answer
Natural numbers
Riya drank 0.75 liters of water in the morning and \( 3\frac{1}{2} \) liter in the evening.
How much water did she drink in total?
4.00 liters
4.15 liters
4.25 liters
4.50 liters
Correct answer
4.00 liters
A runner completes 5(1/3) laps of a 400-meter track. Each lap takes 1.6 minutes. How many kilometres does the runner cover, and what is the total time taken?
2.13 km, 3.13 minutes
2.10 km, 8.5 minutes
2.14 km, 8.53 minutes
2.13 km, 8.5 minutes
Correct answer
2.13 km, 3.13 minutes
The square root of 169 is:
12
13
14
15
Correct answer
12
A box has marbles in the ratio 5:3:2 (red: green: blue). If there are 100 marbles in total, how many are green?
25
30
35
40
Correct answer
25
A train moves from City A to City B, a distance of 180 Kilometres in 3 hours. If the train keeps running at the same constant rate, how many hours will it take to travel the distance between City C and City D, which are 720 Kilometres apart?
10 hours
11 hours
12 hours
13 hours
Correct answer
10 hours
Find the average of 25, 35, 45, 55, and 65.
40
45
50
55
Correct answer
40
Consider a sequence of five odd numbers that follow each other. If their average is 39, what is the value of the largest number in the sequence?
83
43
39
58
Correct answer
83
A number is increased by 20% and then decreased by 20%. What is the net change?
0%
4% increase
4% decrease
8% decrease
Correct answer
0%
The income of A is 25% more than B's income, and B's income is 20% less than C's income. If A's income is ₹9,000, what is C's income?
8000
9000
10000
10800
Correct answer
8000
A mobile phone worth ₹8,000 is sold at a loss of 10%. What is the selling price?
₹7,000
₹7,100
₹7,200
₹7,400
Correct answer
₹7,000
In a school, 60% of the students are boys. If the number of girls is 480, how many boys are there in the school?
700
720
750
800
Correct answer
700
If the marked price of an item is ₹1,500 and the selling price is ₹1,200, what is the percentage discount?
25%
20%
22%
18%
Correct answer
25%
A sofa is marked at ₹5,000 and sold for ₹4,250 after two successive discounts of 10% and a certain percentage. What is the second discount?
5.56%
8.75%
16.85%
27.25%
Correct answer
5.56%
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.