Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If PQR is an equilateral triangle inscribed in a circle and S and T are two points on the circle, find ∠QTR & ∠QSR.
50°, 130°
40°, 140°
60°, 120°
30°, 150°
Correct answer
50°, 130°
Calculate coefficient of mean deviation from mean for the following data:
100, 70, 200, 250, 360, 490, 500, 590
0.75
0.25
0.45
0.515625
Correct answer
0.75
The data given below shows the marks obtained by 10 different students in an examination:
36, 91, 80, 77, 64, 80, 45, 56, 41, 96
Find the median of the marks received by the 10 students.
70.5
76
66.5
81
Correct answer
70.5
What is the x-intercept of the line 4x - 5y = 20 ?
(0, 1)
(0, 0)
(0, 4)
(5, 0)
Correct answer
(0, 1)
A quadrilateral ABCD has a circle inscribed within it. Given that the lengths of sides AB, BC, and CD are 6 cm, 7 cm, and 8 cm respectively, what is the length of side AD?
5 cm
6 cm
7 cm
8 cm
Correct answer
5 cm
Simplify \(\sqrt{32} + \sqrt{18} - \sqrt{8}\).
\(4\sqrt{2}\)
\(6\sqrt{2}\)
\(5\sqrt{2}\)
\(3\sqrt{2}\)
Correct answer
\(4\sqrt{2}\)
What is the total number of factors of 3600?
45
30
35
20
Correct answer
45
Convert 0.714285... into a fraction
\( \frac{5}{7} \)
\( \frac{1}{7} \)
\( \frac{15}{7} \)
\( \frac{16}{7} \)
Correct answer
\( \frac{5}{7} \)
X and Y start a business. X invests ₹75,000, Y invests ₹1,00,000. After 6 months, Y withdraws ₹40,000. If profit at year-end is ₹1,05,000, what is X's share?
₹80,806.45
₹50,806.45
₹90,806.45
₹70,806.45
Correct answer
₹80,806.45
The average weight of 40 boys is 52 kg. If the weight of the teacher is added, the new average becomes 52.5 kg. What is the teacher's weight?
272.5 kg
172.5 kg
72.5 kg
82.5 kg
Correct answer
272.5 kg
If 7% of a number is 21, what is the value of the number minus 25% of itself?
225
250
275
200
Correct answer
225
If the difference between the compound interest and simple interest on a certain amount of money for 11/2 years at an interest rate of 10% per annum is ₹183, when the interest is compounded semi-annually, determine the principal amount.
₹84000
₹70000
₹24000
₹94000
Correct answer
₹84000
The profit made on an item sold for ₹2200 is equal to the loss incurred when it is sold for ₹1800. What will be the profit or loss percentage if the item is sold for ₹2050?
Profit of 2.25%
Loss of 3.5%
Profit of 2.5%
Loss of 4.25%
Correct answer
Profit of 2.25%
In a container, there is a mixture of orange juice and water in the ratio 9:7 respectively. If 15 litres of orange juice are added to the mixture, the ratio of orange juice to water becomes 3:2. Find the difference between the final quantity of orange juice and that of water.
12 litres
35 litres
18 litres
21 litres
Correct answer
12 litres
A is 4 times as efficient as B. If A completes a work in 45 days less than B, in how many days can they finish the work together?
14 days
15 days
16 days
12 days
Correct answer
14 days
A police car detects a stolen vehicle 1 km in front of it and begins to pursue it. The police car is moving at a speed of 100 km/h, while the stolen car is traveling at 80 km/h. What will be the distance between them after 90 seconds?
250 m
400 m
500 m
750 m
Correct answer
250 m
If \( a + \frac{1}{a} = 3 \), find the value of \( a^6 + \frac{1}{a^6} \)
322
324
326
256
Correct answer
322
A point (X,Y) is chosen uniformly at random from the square region defined by 0 ≤ X ≤ 1 and 0 ≤ Y ≤ 1. What is the probability that the distance of the point from the origin (0,0) is less than or equal to 1/2 and the point's X-coordinate is greater than its Y-coordinate (X > Y)?
\(\frac{\pi}{4}\)
\(\frac{\pi}{8}\)
\(\frac{\pi}{16}\)
\(\frac{\pi}{32}\)
Correct answer
\(\frac{\pi}{4}\)
From the top of a 100 m high cliff, an observer notices a car moving away from the base of the cliff. The angle of depression of the car changes from 45° to 30° in 8 seconds. What is the approximate speed of the car?
8.5 m/s
9.2 m/s
10.0 m/s
11.5 m/s
Correct answer
8.5 m/s
A right prism has a triangular base with sides 5 cm, 9 cm, and 6 cm. The height of the prism is 20 cm. Find the lateral surface area.
260 cm2
280 cm2
400 cm2
320 cm2
Correct answer
260 cm2
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.