Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A cylinder of height 8 cm and radius 6 cm is melted and converted into 3 cones of the same radius and height that of cylinder. Determine the curved surface area of cones.
180 π cm2
60 π cm2
144 π cm2
120 π cm2
Correct answer
180 π cm2
A bus travels at 100 km/h for the first 1/2 hour. Later it travels at 80 km/h. Find the time taken by the bus to travel 290 km.
4 hours
3.5 hours
3 hours
2.5 hours
Correct answer
4 hours
The salary of Ramesh first increases by 35%, then decreases by 40%, then again increases by 25%. Find the overall increase or decrease percentage.
Increase 1.25%
Decrease 2.25%
Decrease 1.25%
Increase 2.25%
Correct answer
Increase 1.25%
The wages of workers (W1, W2, W3, W4, W5, W6) for different tasks (T1, T2, T3) are given
What is the difference in average wages per worker for task T1 and task T3?
\({1 \over 3}\)
\({1 \over 2}\)
\({2 \over 3}\)
\({1 \over 4}\)
Correct answer
\({1 \over 3}\)
The total number of teachers in different subjects and the respective percentage of females among them in a school are given in the following table. Study the table and answer the following question.
| Subject | Total number of teachers | Percentage of females |
|---|---|---|
| Hindi | 50 | 80 |
| English | 40 | 90 |
| Mathematics | 60 | 35 |
| Science | 55 | 40 |
| Commerce | 30 | 50 |
| Social Science | 40 | 75 |
What is the ratio of the number of male teachers to that of female teachers in Social Science?
3 ∶ 1
2 ∶ 3
1 ∶ 3
3 ∶ 2
Correct answer
3 ∶ 1
A shopkeeper gives 20% commission on the retail price of one article and earns 5% profit. If his commission is reduced by 10%, then what is his approximate profit percentage? (Nearest integral value)
18%
10%
15%
8%
Correct answer
18%
The average age of 25 girls in a class is 11.2 years and that of the remaining 15 girls is 10 years. Find the average age of all the girls in the class.
10.75 years
11.35 years
10.45 years
11.05 years
Correct answer
10.75 years
The value of \({\frac{{{\textstyle{5 \over 2}} - {\textstyle{3 \over 7}} \times 1{\textstyle{4 \over 5}} \div 3{\textstyle{6 \over 7}}}}{{{\textstyle{3 \over 2}} + 1{\textstyle{2 \over 5}} \div 3{\textstyle{1 \over 2}} \times 1{\textstyle{1 \over 4}}}}}\) is:
2\(\frac{3}{{20}}\)
1\(\frac{2}{{20}}\)
1\(\frac{3}{{20}}\)
1\(\frac{7}{{20}}\)
Correct answer
2\(\frac{3}{{20}}\)
Satish bought 35 notebooks for Rs. 700 and sold 28 of them for Rs. 600. Find his percentage gain.
7\(\frac{1}{7}\)%
9\(\frac{1}{7}\)%
6\(\frac{1}{7}\)%
8\(\frac{1}{7}\)%
Correct answer
7\(\frac{1}{7}\)%
In the given figure, MNP, SQP, NQR and MSR are straight lines. ∠NPQ = 54° and ∠QRS = 68°. What is the degree measure of ∠SMN?
29°
38°
54°
68°
Correct answer
29°
Two trains 121 m and 99 m in length, respectively, are running in opposite directions, one at a speed of 40 km/h and the other at a speed of 32 km/h. In what time will they be completely clear of each other from the moment they meet?
11 sec
12 sec
13 sec
10 sec
Correct answer
11 sec
Simplify the following: (1 + cot2 θ)(1 - cos θ)(1 + cos θ)
1
-5
3
-3
Correct answer
1
A retailer wants to sell an item for Rs. 2,700 after granting a 10% discount. What is the marked price of the item?
Rs. 2,850
Rs. 3,000
Rs. 3,050
Rs. 3,110
Correct answer
Rs. 2,850
Calculate the mean from the following table.
| Scores | Frequencies |
|---|---|
| 0-10 | 2 |
| 10-20 | 4 |
| 20-30 | 12 |
| 30-40 | 21 |
| 40-50 | 6 |
| 50-60 | 3 |
| 60-70 | 2 |
33.4
32.6
35.8
34.2
Correct answer
33.4
How much percentage should a racer increase speed to reduce the time by 20% to cover a fixed distance?
25%
30%
40%
35%
Correct answer
25%
Find the difference between the compound interest and simple interest when a sum of Rs.15,625 is invested for 3 years at 4% per annum.
Rs. 76
Rs. 96
Rs. 56
Rs. 86
Correct answer
Rs. 76
Study the given table and answer the question that follows.
| Productions of different cereals (in million tonnes) | ||||
|---|---|---|---|---|
| Year | Rice | Wheat | Barley | Others |
| 2016 | 6800 | 2700 | 2500 | 4500 |
| 2017 | 8000 | 4200 | 4400 | 3000 |
| 2018 | 6800 | 3500 | 5200 | 4600 |
| 2019 | 7200 | 4000 | 5800 | 5000 |
| 2020 | 8200 | 5600 | 6100 | 6900 |
Which of the cereals shows continuous increase in its production over the years?
Barley
Others
Wheat
Rice
Correct answer
Barley
A and B run a 12 km race on a circular track of length 1200 m. They complete one round in 300 seconds and 400 seconds, respectively. After how much time from start will the faster person meet the slower person for the last time?
2400 seconds
8400 seconds
9600 seconds
10800 seconds
Correct answer
2400 seconds
The salaries of A, B and C are in ratio of \({3 \over 2}\) ∶ \({6 \over 5}\) ∶ \({4 \over 3}\). The salary of A and B together is Rs. 40,500. By what percentage is the salary of A more than that of C?
12%
13%
11.5%
12.5%
Correct answer
12%
If \(\frac{{{x^8} + 1}}{{{x^4}}}\) = 14, then the value of \(\frac{{{x^{12}} + 1}}{{{x^6}}}\) is:
16
14
52
64
Correct answer
16
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.