Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If A and B together can do a piece of work in 5 days, and A alone can do the same work in 10 days, then in how many days can B alone do the piece of work?
10 days
11 days
12 days
13 days
Correct answer
10 days
12 women can make 15 toys in 6 days if they work for 8 hours a day. If 20 toys are to be made by 10 women, working 12 hours a day, then how many days will be required?
6.8 days
7.8 days
6.4 days
5.4 days
Correct answer
6.8 days
The volume of a cube is 3375 cm3. What is the length of the longest rod that can be placed in this cube?
15 cm
\(15\sqrt{3}\) cm
45 cm
\(12\sqrt{3}\) cm
Correct answer
15 cm
A 600-metre-long train is running at a speed of 48 km/h. It crosses a platform completely in 4 minutes and 30 seconds. What is the length of the platform?
1800 m
3600 m
2400 m
3000 m
Correct answer
1800 m
The bar chart given below shows the total revenue (in Rs. '000) earned by 5 shops by selling steel bottles.
The price of each bottle is Rs. 600 in all the shops. How many bottles have been sold by S2 and S3 taken together?
120
135
150
165
Correct answer
120
Trains A and B are running in the same direction at 40 Km/h and 60 km/h, respectively. If both the trains started at the same time from the same place, then what will be the distance between them after 1 hour?
10 km
20 km
40 km
0 km
Correct answer
10 km
The volume of a right circular cone is 3080 cm3. If the radius of its base is 7 cm, then what is the height of the cone?
[Use π = \(\frac{22}{7}\)]
60 cm
80 cm
120 cm
90 cm
Correct answer
60 cm
Find the difference between a discount of 30% on Rs. 2,000 and a discount of 40% on Rs. 5,000.
Rs. 1,400
Rs. 1,100
Rs. 1,200
Rs. 1,000
Correct answer
Rs. 1,400
How many multiples of 7 are there between 100 and 200?
14
15
12
16
Correct answer
14
\(\frac{2}{7}\) of 40% of B = 48. What is the value of B?
400
380
360
420
Correct answer
400
Shreya was given an increment of 10% on her salary. Her new salary is Rs. 5,500. What was her salary before the increment?
Rs. 6,250
Rs. 5,500
Rs. 5,000
Rs. 6,150
Correct answer
Rs. 6,250
Pipe A can fill an empty tank in 30 hours and B can fill it in 10 hours. Due to a leakage in the tank, it takes pipes A and B together 1.5 hours more to fill it completely that it would have otherwise taken. What is the time taken by the leakage alone to empty the same tank completely, starting when the tank is completely full?
42 hours
40 hours
36 hours
45 hours
Correct answer
42 hours
A man travelled a distance of 150 km in 18 hours. He travelled partly on foot at 5 km/h and partly on bicycle at 10 km/h. What is the distance travelled on bicycle?
120 km
30 km
100 km
70 km
Correct answer
120 km
The following table shows the number of cars manufactured in five consecutive weeks.
| Week | Number of cars manufactured |
|---|---|
| 1st week | 500 |
| 2nd week | 700 |
| 3rd week | 600 |
| 4th week | 300 |
| 5th week | 900 |
How many cars were manufactured in the first four weeks, taken together?
2000
2800
2100
2200
Correct answer
2000
What will be the ratio of the simple interest on Rs. 1,000 for 2 years at 5% per annum to the simple interest on the same sum for the same period at 10% per annum?
2 : 1
3 : 1
1 : 2
1 : 3
Correct answer
2 : 1
The cost of a notebook increases in proportion to the number of pages in it. A notebook having 100 pages costs Rs. 20. Find the cost of a notebook having 400 pages.
Rs. 60
Rs. 50
Rs. 80
Rs. 40
Correct answer
Rs. 60
A can complete 25% of a work in 10 days. B can complete 40% of the same work in 16 days. In how many days will A and B together complete twice the work mentioned above?
20
40
60
50
Correct answer
20
The ratio of the selling price and the cost price of an article is 1 : 2, What is the loss percentage?
50%
20%
40%
60%
Correct answer
50%
The average daily expenditure of Mohan over 4 days is Rs. 120. If his expenditure on the first 3 days are Rs. 60, Rs. 150 and Rs. 140, respectively, then what is his expenditure on the 4th day?
Rs. 145
Rs. 110
Rs. 130
Rs. 120
Correct answer
Rs. 145
The average of seven consecutive even numbers is 12. If the next even number is also considered, then what will be the new average?
16
13
14
15
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.