Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A train travels 36 km at a speed of 9 km/h. How much time will it take?
4 hr
3 hr
2 hr
5 hr
Correct answer
4 hr
Two rectangles have lengths in the ratio 2:3 and widths in the ratio 4:5. What is the ratio of their areas?
8:15
6:15
4:9
10:15
Correct answer
8:15
The diagonal of a rectangle is 17 cm and its area is \( 120 \text{ cm}^2 \). The perimeter of the rectangle is:
23 cm
34 cm
46 cm
68 cm
Correct answer
23 cm
The sides of a triangle are 6 cm, 8 cm, and 10 cm. Its area and the length of the altitude to the longest side are, respectively:
\( 24 \text{ cm}^2, 4.8 \text{ cm} \)
\( 24 \text{ cm}^2, 6 \text{ cm} \)
\( 48 \text{ cm}^2, 4.8 \text{ cm} \)
\( 48 \text{ cm}^2, 9.6 \text{ cm} \)
Correct answer
\( 24 \text{ cm}^2, 4.8 \text{ cm} \)
If \( \frac{4}{5}A = 3B = \frac{2}{3}C \), then find the value of \( A : B : C \)?
12 : 45 : 10
9 : 12 : 16
1 : 2 : 3
15 : 4 : 18
Correct answer
12 : 45 : 10
The average of 10 numbers is 18. If two numbers are removed and the new average of the remaining 8 numbers becomes 20, what is the average of the two numbers that were removed?
10
12
14
16
Correct answer
10
The length of a wire is used to make three equal circles. Find the radius of each circle if the total length of the wire is 132 cm. \( (\pi=22/7) \)
7 cm
14 cm
11 cm
21 cm
Correct answer
7 cm
A runner completes a 400 m lap in 80 seconds. Find his speed in km/h.
16
18
20
22
Correct answer
16
A train 100 m long crosses a bridge in 20 seconds while moving at 36 km/h. Determine the length of the bridge.
80 m
90 m
100 m
120 m
Correct answer
80 m
A trader buys an item for ₹500 and gains 20%. What is the selling price?
₹600
₹590
₹580
₹610
Correct answer
₹600
A shopkeeper sold an article for ₹864 at a 20% profit. What was its cost price?
₹710
₹720
₹730
₹740
Correct answer
₹710
A container has 40 litres of water and 60 litres of milk. Find the ratio of water to milk.
4:5
3:4
3:2
2:3
Correct answer
4:5
If \( A:B=5:7 \) and \( B:C=9:11 \), find \( A:B:C \).
45:63:77
45:77:99
35:63:77
55:77:99
Correct answer
45:63:77
A man invests ₹1500 at 10% simple interest per annum. How much interest will he earn in 2 years and 6 months?
₹350
₹360
₹370
₹375
Correct answer
₹350
A cyclist covers a distance of 450 metres in 30 seconds. What is his speed in km/h?
36
54
45
60
Correct answer
36
Find the total surface area of the hemisphere whose base radius is 24 cm (take \( \pi = 3.14 \)).
6534.8 \( cm^{2} \)
3428.8 \( cm^{2} \)
9872.8 \( cm^{2} \)
5425.92 \( cm^{2} \)
Correct answer
6534.8 \( cm^{2} \)
The total surface area of a solid hemisphere is \( 16632\ cm^{2} \), Its volume is : (\( \pi=22/7 \))
178422 \( cm^{3} \)
198722 \( cm^{3} \)
176432 \( cm^{3} \)
155232 \( cm^{3} \)
Correct answer
178422 \( cm^{3} \)
What is the approximate volume of a spherical shell whose inner and outer radii are 10cm and 12 cm respectively (\( \pi=3.14 \)).
2560.02 \( cm^{3} \)
7860.02 \( cm^{3} \)
4672.02 \( cm^{3} \)
3050.02 \( cm^{3} \)
Correct answer
2560.02 \( cm^{3} \)
Maharshi salary was increased by 20% and then new salary decreased by 20%. Then Percentage change in his salary is:
4% decreased
4% Increased
8% Increased
8% decreased
Correct answer
4% decreased
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left?
\( \frac{1}{4} \)
\( \frac{1}{10} \)
\( \frac{7}{15} \)
\( \frac{8}{15} \)
Correct answer
\( \frac{1}{4} \)
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.