Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A thief is spotted by a policeman from a distance of 250 m. When the policeman starts the chase, the thief also starts running. Assuming that the speed of the thief is 10 km/h and that of the policeman is 12 km/h, how far would the thief have run before he is caught?
4 km
1.25 km
3 km
2 km
Correct answer
4 km
To do a certain task X would take 3 times as long as Y and Z together, and Z would takes 4 times as long as Y and X together. Three of them together can complete the task in 10 days. How much time is taken by X and Z to complete the task?
\(18 \frac{2}{9}\) days
\(20 \frac{1}{9}\) days
\(21 \frac{1}{9}\) days
\(22 \frac{2}{9}\) days
Correct answer
\(18 \frac{2}{9}\) days
On a straight road, a bus is 30 km ahead of a car traveling in the same direction. After 3 hours, the car is 60 km ahead of the bus. If the speed of the bus is 42 km/h, then find the speed of the car.
67 km/h
72 km/h
65 km/h
59 km/h
Correct answer
67 km/h
What is the volume of a cube whose surface area is 54 cm2?
28 cm3
3 cm3
27 cm3
9 cm3
Correct answer
28 cm3
Which of the following is a prime number?
54
39
68
89
Correct answer
54
A number, when divided by 15 and 18 every time, leaves 3 as a remainder, the least possible number is:
83
103
39
93
Correct answer
83
Study the given graph and answer the question that follows.
What is the difference between the production of Company C in 2015 and the production of Company B in 2018?
15,00,000 tonnes
1,00,000 tonnes
10,000 tonnes
10,00,000 tonnes
Correct answer
15,00,000 tonnes
In ΔABC, DE || BC in such a way that A-D-B and A-E-C are equal. If ∠ACB = 40°, then ∠DAE + ∠ADE = ____.
240°
120°
140°
230°
Correct answer
240°
The value of \(\frac{\sqrt[3]{-2744} \times \sqrt[3]{-216}}{\sqrt[3]{\frac{64}{729}}}\) is:
164
152
189
156
Correct answer
164
If \(\left{\left(\frac{\sec θ-1}{\sec θ+1}\right)\right}^{\mathrm{n}}\) = cosec θ - cot θ, then n = ?
1
0.5
-1
-0.5
Correct answer
1
The following bar graph shows the production of various models of mobiles in the year 2019 and 2020. The total production is 40 lakhs during 2019 and 65 lakhs in 2020.
What is the total production of model A mobiles in 2020 and model E mobiles in 2019?
39,00,000
32,00,000
36,00,000
21,00,000
Correct answer
39,00,000
The cost of two varieties of tea is ₹300 and ₹375 respectively. If both the varieties of tea are mixed together in the ratio 3 ∶ 2, then what should be the price of mixed variety of tea per kg?
₹340
₹330
₹350
₹360
Correct answer
₹340
The least common multiple of a and b is 42. The LCM of 5a and 11b is:
2310
4620
210
462
Correct answer
2310
A faulty weighing machine reads 1 kg when 900 gm is actually weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on cost price for a month. If each customer is now paying ₹20 for 1 kg, then before the raid _____ amount they have paid for the same quantity. (Rounded off to two places of decimal)
₹27.16
₹27.04
₹28.05
₹28.15
Correct answer
₹27.16
The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table.
| Subject Student | Physics | Mathematics | Hindi | Geography | English | History |
|---|---|---|---|---|---|---|
| Maximum marks → | 80 | 150 | 100 | 75 | 120 | 50 |
| P | 70 | 44 | 88 | 88 | 70 | 38 |
| Q | 90 | 40 | 54 | 92 | 65 | 40 |
| R | 85 | 32 | 70 | 64 | 55 | 30 |
| S | 75 | 70 | 58 | 80 | 60 | 35 |
| T | 65 | 60 | 45 | 88 | 50 | 42 |
| U | 60 | 50 | 60 | 72 | 25 | 48 |
What are the average marks obtained by all students in Geography?
65.5
63.8
60.5
58.2
Correct answer
65.5
The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.
| Subjects | Maths | Physics | Chemistry | Botany | Hindi |
|---|---|---|---|---|---|
| Maximum marks → Students ↓ | 300 | 300 | 200 | 100 | 100 |
| V | 60 | 80 | 90 | 100 | 95 |
| W | 90 | 70 | 80 | 70 | 40 |
| X | 70 | 90 | 95 | 80 | 75 |
| Y | 80 | 60 | 70 | 95 | 80 |
| Z | 90 | 50 | 80 | 85 | 85 |
What are the average marks, in percentage, obtained by X?
76.5%
80.5%
82.5%
85.5%
Correct answer
76.5%
In an election between 2 parties A and B, A gets 37% of total votes cast and thus lost by 338 votes. The total number of casted votes is (assume none of the votes was declared invalid):
1300
1500
1200
1800
Correct answer
1300
What is the least value of x so that the number 8x5215 becomes divisible by 9?
3
1
5
6
Correct answer
3
The angles of a triangle are in the ratio 1 ∶ 1 ∶ 2. What percentage of the total internal angle is the greatest angle?
50%
65%
45%
40%
Correct answer
50%
The average salary of all the employees in a company is Rs. 14,000. The average salary of 5 technicians is Rs. 18,000 and the average salary of the rest is Rs. 13,200. The total number of employees in the company is:
28
30
29
27
Correct answer
28
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.