Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A student's marks in Mathematics were 20% more than in Physics. If he scored 72 in Physics, how many marks did he score in Mathematics?
82.4
88.4
84.4
86.4
Correct answer
82.4
A square garden is surrounded by a path 1 m wide on all sides. The area of the path alone is 36 m². What is the length of the garden's side?
4 m
5 m
6 m
8 m
Correct answer
4 m
The length and width of a rectangle are in a 5:3 ratio. Given that the perimeter is 96 cm, determine the area of the rectangle.
720 cm²
540 cm²
360 cm²
594 cm²
Correct answer
720 cm²
A trapezium has one parallel side double the other. The height is 10 cm, and the area is 900 cm². Find the lengths of the parallel sides.
30 cm and 60 cm
50 cm and 100 cm
45 cm and 90 cm
60 cm and 120 cm
Correct answer
30 cm and 60 cm
A regular hexagon with side 6 cm is inscribed in a circle. What is the radius of the circle?
5√3 cm
12 cm
6√3 cm
6 cm
Correct answer
5√3 cm
If \(a ^ 2 + b ^ 2 = 100\) and a - b = 4 find the value of ab.
28
32
42
54
Correct answer
28
The average of 6 positive numbers is 10. If one number is excluded, the average becomes 9. What is the excluded number?
15
14
12
16
Correct answer
15
If the lines given by 3x + 2ky = 2 3x + 5y = - 1 are parallel, then the value of k is:
2/5
5/2
3/2
1/2
Correct answer
2/5
What is the slope of the line given by the equation 3x+2y=6?
3/2
-3/2
2/3
6
Correct answer
3/2
Which line is not parallel to the line 6x - 2y = 10
3x - y = 4
y = 3x - 1
y = 4x + 5
12x - 4y = 9
Correct answer
3x - y = 4
A tower and a pole stand vertically. From a point between them on the ground, the angles of elevation of their tops are 45° and 30°, respectively. If the pole is 20 m high, and the point is equidistant from both, find the height of the tower.
20 m
40 m
34.64 m
90 m
Correct answer
20 m
A balloon is hovering 100 m above ground. The angle of elevation of the balloon from a point on the ground is 60°. Find its horizontal distance from the observer.
100\(\sqrt{3}\) m
100 m
173 m
57.7m
Correct answer
100\(\sqrt{3}\) m
The volume of a cylinder is the same as its total surface area. Given that the radius is 3 cm, determine the height of the cylinder.
2 cm
4 cm
6 cm
8 cm
Correct answer
2 cm
A cylindrical candle (radius 3cm, height 10 cm) burns evenly and reduces 1 cm in height every 2 hours. In how many hours will 70% of the candle's volume be burned?
10 hours
14 hours
18 hours
20 hours
Correct answer
10 hours
The area of the base of a prism is 36 cm², and the lateral surface area is 288 cm². If the height is 8 cm, what is the perimeter of the base?
24 cm
36 cm
48 cm
18 cm
Correct answer
24 cm
Estimate the volume of a right prism whose base is a regular hexagon with sides of 10 cm each and a vertical height of 8 cm.
2078 cm³
2070 cm³
2110 cm³
1980 cm³
Correct answer
2078 cm³
If tanx=cot(2x-15°) find x
30°
35°
22.5°
27°
Correct answer
30°
The centroid of a triangle with vertices (0,0), (6,0), and (0,8) is:
(3,4)
(2, 2.67)
(1.5, 2)
(6,8)
Correct answer
(3,4)
A brass hemispherical bowl has an inner diameter of 10.5 cm. if the cost of tin-plating the inner surface is 15 per 100 cm², what will be the total cost (in whole number) of plating the inside of the bowl?
₹26
₹34
₹28
₹44
Correct answer
₹26
If \(\sin \theta =\frac{7}{25}\) and θ lies in the second quadrant, find the value of tan θ.
-7/24
-8/25
-5/24
-7/25
Correct answer
-7/24
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.