Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A bike rider travels 30 kilometers at a velocity of 5 km/h and then comes back along the same path at 6 km/h. What is the cyclist's average speed for the entire trip?
5 km/h
5.45 km/h
5.2 km/h
6 km/h
Correct answer
5 km/h
The value of a machine depreciates by 10% per annum. If its present value is ₹72,900, find its value 2 years ago.
₹80,000
₹85,000
₹90,000
₹95,000
Correct answer
₹80,000
Find the amount after 2 years on ₹6,000 at 8% per annum when compounded half-yearly.
₹6,960.00
₹7,000.75
₹7,019.15
₹7,100.89
Correct answer
₹6,960.00
The difference between the simple interest on ₹5,000 for 3 years and 4 years at the same rate of interest per annum is ₹500. Find the rate of interest.
8%
9%
10%
12%
Correct answer
8%
A cylindrical container with internal radius 7 cm and height 30 cm is completely filled with water. The water is then poured into identical conical vessels, each having a radius of 3.5 cm and height of 6 cm. How many such conical vessels can be completely filled with the water from the cylinder?
45
54
60
72
Correct answer
45
16 men can complete a work in 20 days. In how many days will 20 men complete the same work?
16
18
20
22
Correct answer
16
Three workers A, B and C are given a job to make a sofa. At the end of each day, they are given Rs. 650 collectively as wages. If A worked alone, the work would be completed in 5 days. If B worked alone, the work would be completed in 10 days. If C worked alone, the work would be completed in 15 days. Find the individual daily wage of C
120
118.18
177.89
137
Correct answer
120
A retailer offers a successive discount of 25% and 15% on a TV set marked at Rs. 80,000. What is the final selling price?
Rs. 71,000
Rs. 52,000
Rs. 61,000
Rs. 51,000
Correct answer
Rs. 71,000
The length of the base and height of a triangle is 20 cm and 10 cm, respectively. If the area of the triangle is equal to the area of a rectangle whose length is 25 cm, then find the breadth of the same rectangle.
5 cm
9 cm
7 cm
4 cm
Correct answer
5 cm
Which of the following square roots is irrational?
\(\sqrt{64}\)
\(\sqrt{121}\)
\(\sqrt{51}\)
\(\sqrt{169}\)
Correct answer
\(\sqrt{64}\)
The ratio of the ages of two friends is \( 7:8 \). After 12 years, the ratio becomes \( 9:10 \). What are their present ages?
42 and 48
52 and 58
38 and 45
26 and 32
Correct answer
42 and 48
Three people, A, B, and C, have incomes that are in the ratio \( 17 : 18 : 19 \). If their total earnings are Rs. 2,97,000, how much money does B earn?
Rs. 99,000
Rs. 93,500
Rs. 1,04,500
Rs. 78,000
Correct answer
Rs. 99,000
A shopkeeper earns 70% profit on selling an article. If he increases the selling price by Rs. 338, the profit becomes 83%. Find the cost price.
Rs. 2600
Rs. 3600
Rs. 2500
Rs. 2660
Correct answer
Rs. 2600
Which of the following equations represents a line that is perpendicular to the line \( 4x - 3y = 17 \)?
\( 4x - 3y = 21 \)
\( 4x + 3y = 17 \)
\( 3x + 4y = 21 \)
\( 3x - 4y = 21 \)
Correct answer
\( 4x - 3y = 21 \)
A student is standing, reading an article 25 meters away from his school building. If the angle of elevation of the top of the school building is 60 degrees, how tall is the school building (approx.)?
40 m
43 m
46 m
49 m
Correct answer
40 m
A decorative candle consists of two parts: a cylindrical base and a conical top. The radius of both parts is 3.5 cm. The cylindrical part is | 11 cm high, while the conical part rises to a height of 9 cm above it. Determine the estimated total surface area of the candle.
387 cm2
360 cm2
378.8 cm2
399.4 cm2
Correct answer
387 cm2
A regular right triangular pyramid has base side = 10 cm, and slant height = 13 cm. Find the total surface area if all slant heights are equal and the base is equilateral.
238.3 cm2
282.7 cm2
300.5 cm2
320.3 cm2
Correct answer
238.3 cm2
In an equilateral triangle, which of the following points coincide?
Centroid and Incenter only
Circumcenter and Orthocenter only
Incenter and Circumcenter only
Centroid, Incenter, Circumcenter, and Orthocenter
Correct answer
Centroid and Incenter only
Aman and Priya start jogging around a park at the same time and from the same point. Aman takes 20 minutes to complete one lap and Priya takes 15 minutes. After how many minutes will they meet again at the starting point?
30 minutes
45 minutes
60 minutes
90 minutes
Correct answer
30 minutes
Within a circle, two parallel chords are positioned such that the center lies between them if the distance between these chords is 14 cm, and the length of one chord is 12 cm having radius of 10 cm, what is the length of the other chord ?
10 cm
16 cm
20 cm
8 cm
Correct answer
10 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.