Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Which of the following terms describes a line that intersects a circle at two distinct points?
Tangent
Radius
Secant
Diameter
Correct answer
Tangent
A conical tent has a radius of 5 m and a slant height of 13 m. Find its lateral surface area.
58Ï€ m2
124Ï€ m2
95Ï€ m2
65Ï€ m2
Correct answer
58Ï€ m2
A hemisphere is placed on top of a cylinder with the same base radius. If their combined height is 18 cm and radius is 6 cm, find the total surface area.
636 cm2
791.28 cm2
720 cm2
785.97 cm2
Correct answer
636 cm2
Find the surface area of a brick with dimensions 12 cm × 6 cm × 5 cm.
324cm2
367cm2
986cm2
675cm2
Correct answer
324cm2
In a zoo, there are horse and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs. How many pigeons are there?
150
160
180
190
Correct answer
150
Which of the following is not an integer?
(33 - 3)/3
\(\sqrt{49}\)
\(2/\sqrt{2}\)
(52 - 1)/2
Correct answer
(33 - 3)/3
Which pair of number sets has the same elements?
Natural numbers and integers
Whole numbers and natural numbers including 0
Rational numbers and real numbers
complex numbers and real numbers
Correct answer
Natural numbers and integers
What is the sum of 3(5/8)+4(7/12) written as a mixed number in simplest form?
3(4/17)
6(3/4)
8(5/24)
8(1/6)
Correct answer
3(4/17)
A rope is 15(3/4) meters long. It is cut into pieces each of 1.25 meters. How many full pieces can be cut, and how much rope will remain?
12 pieces, 0.25 m left
13 pieces, 0.5 m left
12 pieces, 0.75 m left
13 pieces, 0.25 m left
Correct answer
12 pieces, 0.25 m left
The average of 5 numbers is 62. Four of the numbers are 58, 65, 60, and 67. Find the missing number.
49
60
35
67
Correct answer
49
The average of 8 consecutive numbers starting from 10 is:
14
13.5
12
15
Correct answer
14
What is the value when 120 is increased by 25%?
510
160
150
270
Correct answer
510
A shopkeeper makes a 25% profit by selling a shirt for ₹750. What is the cost price?
₹600
₹650
₹700
₹720
Correct answer
₹600
A product has a marked price of ₹1,200. If a 20% discount is applied, what is the selling price?
₹960
₹1,000
₹940
₹1,100
Correct answer
₹960
If 6 men can complete a work in 16 days, how many men are required to complete the same work in 12 days?
13
6
8
4
Correct answer
13
A runner is jogging on a circular track with a circumference of 400 meters. If the runner maintains a constant speed of 8 km/h, how much time will it take to complete 5 laps around the track?
15 minutes
55 minutes
67 minutes
20 minutes
Correct answer
15 minutes
A triangle has an area of 45 cm2 and a base of 15 cm. What is its height?
6 cm
5 cm
7 cm
4 cm
Correct answer
6 cm
A chord of length 12 cm is 5 cm away from the center. Find the radius.
7 cm
\(\sqrt{61}\) cm
\(19\sqrt{5}\) cm
\(\sqrt{10}\) cm
Correct answer
7 cm
An overhead water tank is made by placing a hemisphere over a cylinder. The cylinder has a height of 3 m, and the radius of both shapes is 2 m. What is the total volume of the tank in cubic meters? (Use \(\pi = 3.14\))
87.43 m3
34.56 m3
54.43 m3
84.53 m3
Correct answer
87.43 m3
A wooden block has dimensions 8 cm × 5 cm × 3 cm. What is its volume?
167 cm3
120 cm3
230 cm3
478 cm3
Correct answer
167 cm3
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.