Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What is the area of a rectangle if length = 4a²b and breadth = 5ab³?
20a2b2
15a3b4
20a3b4
10a3b4
Correct answer
20a2b2
A regular pyramid has a square base of side 10 cm and slant height 13 cm. Find the lateral surface area.
260 cm²
200 cm²
160 cm²
100 cm²
Correct answer
260 cm²
The average of 3.25, 2.5 and 4.75 is:
3.5
3.6
3.25
3.75
Correct answer
3.5
Which of the following is a terminating decimal?
7/ 20
11/ 30
13/ 45
8 /33
Correct answer
7/ 20
If a regular polygon has 44 diagonals, how many sides does it have?
12
14
13
11
Correct answer
12
If the sum of the interior angles of a regular polygon is equal to the sum of its exterior angles, determine the number of sides in the polygon.
5
6
4
3
Correct answer
5
If the sum of the interior angles of a regular polygon is 2520°, determine the number of sides and the total number of diagonals of the polygon.
16 sides, 104 diagonals
14 sides, 94 diagonals
18 sides, 104 diagonals
14 sides, 84 diagonals
Correct answer
16 sides, 104 diagonals
A quadrilateral is divided into two triangles by a diagonal of 13 cm. If both triangles have height 12 cm, find total area.
156 cm²
312 cm²
240 cm²
280 cm²
Correct answer
156 cm²
If the square root of a number is 0.25 times the number itself, find the number.
4
16
25
36
Correct answer
4
A rectangular water tank has a length of 5 meters, a width of 3 meters, and a depth of 1.2 meters. What is the total volume of water the tank can hold in liters when completely filled?
1800 liters
18,000 liters
180 liters
18 liters
Correct answer
1800 liters
An iron triangle has a base 12 cm, height 8 cm. If the density is 7.8 g/cm³ and thickness is 1 cm, find its mass.
374.4 g
748.8 g
706.4 g
620.6 g
Correct answer
374.4 g
A man spends 30% of his salary on rent, 20% on groceries, and 25% on other expenses. If he saves Rs. 9,000, what is his salary?
Rs. 24,000
Rs. 27,000
Rs. 30,000
Rs. 36,000
Correct answer
Rs. 24,000
How many 2 cm radius spheres can be formed by melting and recasting a single 6 cm radius sphere?
27
28
25
36
Correct answer
27
What is the area of a trapezium whose parallel sides are 20 cm and 10 cm and height is 8 cm?
120 cm²
180 cm²
200 cm²
240 cm²
Correct answer
120 cm²
Prakash can do a job in 15 days. In how many days can Prakash and Jayesh together complete the job, if Jayesh is twice as fast as Prakash?
6 days
5 days
10 days
9 days
Correct answer
6 days
A laptop is listed at Rs. 60,000. If a seller offers a festival discount of 20% followed by a cashback of Rs. 2,000, what is the effective
price paid?
Rs. 46,000
Rs. 48,000
Rs. 48,800
Rs. 47,000
Correct answer
Rs. 46,000
A retailer marked a jacket 60% above its cost price. During an off-season clearance, he offered a flat discount of Rs. 1800 and still made a profit of 20%. What was the cost price of the jacket?
Rs. 3000
Rs. 4000
Rs. 3600
Rs. 4500
Correct answer
Rs. 3000
convert 25π/4radians to degrees.
30°
1125°
130°
370°
Correct answer
30°
If 5π radians = x degrees, find x.
9100°
100°
90°
900°
Correct answer
9100°
The complement of an angle is 5° less than the angle. Find the angle
47.5°
48°
52°
50°
Correct answer
47.5°
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.