Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Find the value of 15% of 1.5 + 0.15 ÷ 0.1 + 0.01 of 1.1 × 0.5 + 2.5 × 25
6.42305
62.2305
77.2305
64.2305
Correct answer
6.42305
A cylinder of radius 7 cm has a curved surface area of 2200 cm2. Find its total surface area. (Use π = 22/7)
2508 cm2
2260 cm2
2550 cm2
1580 ccm2
Correct answer
2508 cm2
The area of a sector of a circle having radius 14 cm is 231 cm2. Find the degree measure of the corresponding central angle. (Use π = 22/7)
140º
135º
150º
125º
Correct answer
140º
Simplify the following expression. (6 + 6 of 5 ÷ 5) ÷ 6 of 5 + (24 ÷ 2 of 3 - 6 of 5 + 4)
-26\(\frac{2}{5}\)
-21\(\frac{3}{5}\)
-17\(\frac{2}{5}\)
-23\(\frac{1}{5}\)
Correct answer
-26\(\frac{2}{5}\)
Study the given table and answer the question that follows.
| Category | 2019 | 2020 |
|---|---|---|
| Raw material | 5000 | 6000 |
| Power and fuel | 10000 | 12000 |
| Salary and wages | 8000 | 12000 |
| Advertising | 10000 | 20000 |
Find the difference between the least percentage increase and the highest percentage increase in year 2019-2020.
50%
60%
70%
80%
Correct answer
50%
The value of 66 ÷ [34 - (32 of 2 - 4) ÷ (4 × 15)] is equal to:
3
2
0
1
Correct answer
3
In a class, there are 60 students. The average weight of the entire class is 42 kg. If there are 36 boys in the class and the average weight of all the boys is 50 kg, then what is the average weight (in kg) of all the girls?
32
30
36
34
Correct answer
32
A spherical box has surface area 528 cm2. Find the radius of the spherical box.
√(35) cm
√(42) cm
√(29) cm
√(37) cm
Correct answer
√(35) cm
A shopkeeper gives a discount of 12% on the purchase of 10 kg of sugar. The cost price of the sugar is ₹30/kg, and the marked price is ₹38/kg. The weighing machine of the shopkeeper is faulty, and it shows weight of 1 kg when the actual weight is 900 grams. Find the percentage profit of the shop keeper (rounded off to two decimal places).
23.85%
22.25%
12.5%
30.18%
Correct answer
23.85%
The sum of two numbers is 28 and the sum of their squares is 528. Find the square root of the product of both the numbers.
4√2
6√2
2√2
8√2
Correct answer
4√2
The below table shows the number of trees of 3 different fruits, planted during 2018- 2022. Study the table carefully and answer the question based on it.
| Year | Jackfruit | Mango | Butter Fruit |
|---|---|---|---|
| 2018 | 35,000 | 40,000 | 55,000 |
| 2019 | 38,000 | 48,000 | 58,000 |
| 2020 | 42,000 | 52,000 | 62,000 |
| 2021 | 45,000 | 55,000 | 65,000 |
| 2022 | 48,000 | 58,000 | 68,000 |
What was the percentage increase in the number of mango trees planted in 2020 compared to the number of mango trees planted in 2018?
30%
17.5%
23.08%
15%
Correct answer
30%
A person covers 11 km with a speed of 7 km/h, 25 km with a speed of 10 km/h and 30 km with a speed of 20 km/h. What is the average speed of the person?
11\(\frac{9}{13}\) km/h
11\(\frac{7}{13}\) km/h
11\(\frac{11}{13}\) km/h
11\(\frac{10}{13}\) km/h
Correct answer
11\(\frac{9}{13}\) km/h
If tan θ + cot θ = 6, then the value of tan2 θ + cot2 θ is ____ .
20
24
34
22
Correct answer
20
If four distinct positive numbers, a, b, c and d, in the order given are in proportion, then which of the following options is NOT correct?
b, a, d and c, in the order given are in proportion.
c, d, b and a, in the order given are in proportion.
a, c, b and d, in the order given are in proportion.
d, c, b and a, in the order given are in proportion.
Correct answer
b, a, d and c, in the order given are in proportion.
The following table shows the total number of employees in 4 different colleges and the percentage of female employees and that of male employees. Study the table carefully and answer the question that follows.
| College | Total Number of Employees | Percentage of Female Employees | Percentage of Male Employees |
|---|---|---|---|
| A | 700 | 35% | 65% |
| B | 550 | 30% | 70% |
| C | 600 | 40% | 60% |
| D | 800 | 55% | 45% |
The number of females in colleges A and D together is what percentage of the number of males in colleges B and C together (rounded off to two decimal places)?
80.84%
80.95%
91.95%
90.86%
Correct answer
80.84%
Two towns P and Q are 275 km apart. A motorcycle rider starts from P towards Q at 10:00 a.m. at the speed of 25 km/h. Another rider starts from Q towards P at 12 noon on the same day at the speed of 20 km/h. At what time will they cross each other?
1:15 p.m
3:00 p.m.
4:30 p.m.
5:00 p.m.
Correct answer
1:15 p.m
Manish, Nakul and Pintoo alone can complete a certain work in 21days, 28 days and 15 days, respectively. Manish and Pintoo started the work together while Nakul joined them after 5 days and worked with them till the completion of the work. For how many days did Nakul work?
5\(\frac{1}{2}\)
2\(\frac{6}{7}\)
2\(\frac{1}{2}\)
3\(\frac{1}{2}\)
Correct answer
5\(\frac{1}{2}\)
Simplify the given expression 1000 × 100 - 1000 + 4000 ÷ 200
99235
99980
99020
99999
Correct answer
99235
On the tag price, a seller offers a 10% discount and a cashback of ₹250. He still earns 10% profit. If the cost price is ₹1,200, then the tag price (rounded off to 2 decimal places) is ₹______.
1774.44
1777.44
1744.44
1447.44
Correct answer
1774.44
If 855 ÷ 15 - k + 32 × 5 = 1152 ÷ 16 × 111 ÷ 37, then the value of k is:
0
3
2
1
Correct answer
0
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.