Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A seller marks up his product by 50% and offers two consecutive discounts of 10% each. What is his profit percentage ?
20.5%
21.5%
22.5%
23.5%
Correct answer
20.5%
A retailer offers 2 successive discounts of 15% and 10% on a product marked at Rs. 1,000. If his cost price is Rs. 700, what is his profit or loss percentage?
10.29% profit
9.29% loss
10.29% loss
9.29% profit
Correct answer
10.29% profit
An item is sold at a 20% profit. If the cost price and selling price are increased by Rs. 50 and Rs. 30 respectively, the profit percent becomes 10%. What is the original cost price?
Rs. 100
Rs. 450
Rs. 600
Rs. 250
Correct answer
Rs. 100
Simplify : \(\sqrt{12} + \sqrt{48}\)
√3
1.21
6
6√3
Correct answer
√3
In a rectangle, if length is increased by 20% and breadth is decreased by 20%, what is the percentage change in area?
4% decrease
4% increase
No change
10% decrease
Correct answer
4% decrease
If a line has x-intercept 4 and y-intercept -2, what is its equation in standard form?
x - 2y = 4
-x - 2y = 4
-x + 2y = 4
x + 2y = 4
Correct answer
x - 2y = 4
If a line intersects the x-axis at (6, 0) and the y-axis at (0, -4), what is the slope of the line?
1/2
1/3
3/2
2/3
Correct answer
1/2
Two alloys contain copper and zinc in the ratios 3 ∶ 2 and 5 ∶ 3. If equal masses of both are melted and mixed, what is the ratio of copper to zinc in the final alloy?
18 ∶ 51
18 ∶ 43
49 ∶ 31
49 ∶ 37
Correct answer
18 ∶ 51
If ∠A and ∠B are complementary and ∠A = 40°, what is ∠B?
30°
40°
50°
60°
Correct answer
30°
Complement of an angle is 12° more than twice the angle. Find the angle.
18°
22°
24°
26°
Correct answer
18°
if an angle is 4 times its complement, what is the angle ?
36°
72°
172°
7°
Correct answer
36°
If the height of a cylinder is decreased by 10% and radius increased by 10%, then volume changes by:
decreases by 1%
increases by 8.9%
decreases by 5.7%
no change
Correct answer
decreases by 1%
A cylinder's radius and height are in a 2 ∶ 5 ratio. Its volume is 2000π cm3. Find the radius.
6.57 cm
8.29 cm
9.28 cm
10.99 cm
Correct answer
6.57 cm
A right prism has a square base of side 5 cm and a height of 12 cm. What is its total surface area?
340 cm2
440 cm2
370 cm2
290 cm2
Correct answer
340 cm2
A brass hemispherical bowl has an inner diameter of 14 cm. Find the cost of painting its inner surface at the rate of 20 per cm2.
₹5360
₹5260
₹6160
₹4160
Correct answer
₹5360
A cylinder and a hemisphere have the same radius. If the curved surface area of the hemisphere is 128 cm2, calculate the base area of the cylinder.
64 cm2
54 cm2
62 cm2
42 cm2
Correct answer
64 cm2
A cylindrical container, 16 cm in radius, holds milk to a depth of 30 cm. If a solid sphere is submerged in the milk, the liquid level increases by 9 cm. Determine the radius of the spherical ball
18√2 cm
16√2 cm
22√2 cm
12 cm
Correct answer
18√2 cm
Find the diameter of a circle, if the length of the tangent is 9 m and 12 m is the distance between the center of the circle to the external point. Given √7 = 2.64(approx)
2.64 m
5.28 m
15.84 m
10.56 m
Correct answer
2.64 m
What percentage of the circle is covered by a sector with a central angle of \(\rm \frac{5\pi}{3}\) radians?
50%
83.33%
90.54%
75%
Correct answer
50%
In a circle, there are two chords, AB and CD, cross each other at point E, which is located inside the circle. Given that AE is 3 cm, EB is 2 cm, and CE is 6 cm, determine the length of ED.
1 cm
2 cm
3 cm
4 cm
Correct answer
1 cm
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.