Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
\(8\frac{1}{2}\)
\(9\frac{1}{2}\)
\(9\frac{2}{3}\)
\(9\frac{1}{3}\)
Correct answer
\(8\frac{1}{2}\)
The following bar graph shows the milk production (in million tons) details for 4 years for three brands (P, Q, R);
What was the average production (in million tons) per year over the period of 4 years?
90
50
30
70
Correct answer
90
Find the least value of 16cosec2θ + 25sin2θ.
40
42
35
38
Correct answer
40
Simplify the given expression.
(1 + x)3 + (1 - x)3 + (- 2)3
6 (1 - x2)
3 (1 - x2)
Correct answer
6 (1 - x2)
If the base radius and the height of a right circular cone are increased by 10%, then the percentage increase in the volume is:
30.2%
22.1%
33.1%
20.2%
Correct answer
30.2%
A sum of money amounts to Rs. 1,200 in 2 years and becomes Rs. 1,260 in 3 years at compound interest, when interest is compounded annually. What is the rate of compound interest per annum?
5%
3%
4%
6%
Correct answer
5%
Kanchan lent Rs. 10,000 for 2 years and Rs, 5,000 for 4 years at the same rate of simple interest. If the total interest received by Kanchan is Rs. 2,000, then what was the rate of interest?
5%
2%
3%
4%
Correct answer
5%
AB is a chord of a circle having radius 1.7 cm. If the distance of this chord AB from the centre of the circle is 0.8 cm, then what is the length (in cm) of the chord AB?
4
1
3
2
Correct answer
4
By selling 42 m of cloth, Vijay gains the selling price of 7 m of cloth. Find the profit percentage.
15%
30%
20%
25%
Correct answer
15%
Study the given bar-graph and answer the question that follows.
The bar-graph displays the number of bicycles produced at a factory from 1998 to 2002.
What was the average number of bicycles produced at the factory per year from 1998-2002?
940
960
920
880
Correct answer
940
Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m are 1050 m apart, and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/h and Kissan Express is running at 55 km/h. In how much time (in sec) will the trains cross each other?
70
45
75
80
Correct answer
70
The table below shows the number of laptops sold by the 4 sellers and the ratio of Brand1 laptops sold to Brand 2 laptops sold.
| Seller | Total laptops sold | Brand1 laptops sold: Brand2 laptops sold |
|---|---|---|
| A | 4000 | 3 ∶ 1 |
| B | 6000 | 2 ∶ 1 |
| C | 8000 | 5 ∶ 3 |
| D | 5000 | 1 ∶ 4 |
The number of Brand1 laptops sold by A seller is how many more than the number of Brand2 laptops sold by B seller?
1200
800
1000
600
Correct answer
1200
In a circle of radius 42 cm, an arc subtends an angle of 60° at the center. Find the length of the arc.
(Take π = \(\frac{22}{7}\))
44 cm
21 cm
22 cm
42 cm
Correct answer
44 cm
If interest be compounded half - yearly, then find the compound interest on ₹8,000 at 20% p.a. for 1 year.
₹1,675
₹1,690
₹1,685
₹1,680
Correct answer
₹1,675
Nikunj goes 4 kilometres against the current of a stream in 1 hour, and 2 kilometres along the current in 15 minutes. How long will it take him to go 7 kilometres in stationary water?
1 hour 15 minutes
1 hour 20 minutes
1 hour 10 minutes
1 hour 5 minutes
Correct answer
1 hour 15 minutes
If sin A = \(\frac{2}{3}\), then find the value of (7 - tan A)(3 + cos A)
\(\frac{61}{3}+\frac{17}{3 \sqrt{5}}\)
\(\frac{61}{3 \sqrt{5}}+\frac{17}{3}\)
\(\frac{61}{3}+\frac{17}{\sqrt{5}}\)
\(\frac{61}{3}-\frac{17}{3 \sqrt{5}}\)
Correct answer
\(\frac{61}{3}+\frac{17}{3 \sqrt{5}}\)
Simplify the given expression.
(1 - 2x)2 - (1 + 2x)2
8x
(2 + 8x2)
Correct answer
8x
The value of \(\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}\) is :
33
36
38
40
Correct answer
33
The following table shows the income of a company in a year from various sectors:
| Sectors | Finance | Communication | Production | Sales | Transportation |
|---|---|---|---|---|---|
| Amount (in lakh ₹) | 85 | 60 | 67 | 115 | 75 |
What is the difference (in lakh ₹) between the income from the maximum earning sector and the minimum earning sector?
48
40
30
55
Correct answer
48
Find the fourth proportional to 0.48, 0.84 and 32.
65
34
56
43
Correct answer
65
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.