Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If \(\frac{A}{2} = \frac{B}{3} = \frac{C}{7}\), then what is the value of the ratio (4A + 3B - C) : (A + B + C)?
7 : 6
5 : 6
9 : 8
8 : 5
Correct answer
7 : 6
What is the compound interest for 2 years on a sum of ₹ 7,200 at the rate of 15% per annum, if interest is compounded annually?
₹ 2,428
₹ 2,322
₹ 2,527
₹ 2,829
Correct answer
₹ 2,428
The highest common factor of two numbers is 6, and the product of the two numbers is 72. What is the least common multiple of the two numbers?
16
18
12
14
Correct answer
16
The measures of the outer dimensions of a closed metal box are given as 15 cm × 18 cm × 8 cm. The thickness of the metal is 1.5 cm. What will be the volume of the metal required to make the box?
1680 cm3
950 cm3
1440 cm3
1260 cm3
Correct answer
1680 cm3
The average of 5 consecutive odd numbers is 33. What is the product of the smallest and the largest of these five numbers?
1147
1237
957
1073
Correct answer
1147
What is the average of the first 6 multiples of 10?
36
35
34.5
32
Correct answer
36
If a chair is sold at a discount of 20%, then there is a profit of 20%. If the chair is sold at a discount of 30%, then what will be the profit?
5%
10%
7.5%
12.5%
Correct answer
5%
The length of a side of an equilateral triangle is 120 cm less than its perimeter. What is the area of the equilateral triangle?
1800\(\sqrt 3 \)Â cm2
900\(\sqrt 3 \)Â cm2
450\(\sqrt 3 \)Â cm2
1200\(\sqrt 3 \)Â cm2
Correct answer
1800\(\sqrt 3 \)Â cm2
If a boy goes from his home to his school at a speed of 40 km/h, he reaches 10 minutes early. If he goes at a speed of 35 km/h, he reaches 5 minutes late. What will be the time taken for the journey at a speed of 35 km/h?
125 minutes
135 minutes
115 minutes
120 minutes
Correct answer
125 minutes
What should come in place of the question mark (?) in the following mathematical statement?
25% of (?)2 = 7 + 145 ÷ 5
27
37
12
62
Correct answer
27
The ratio of the cost price of an item and the profit gained while selling the item is 4 :
20%
25%
15%
18%
Correct answer
20%
N is increased successively by 12.5% and 16%. If N = 400, then what is the value of the increase?
142
92
172
122
Correct answer
142
The following table shows the weight (in kg) of vegetables sold by 6Â different shops. It also shows the weight (in kg) of tomatoes sold out of the total vegetables sold by each of these shops.
| Shops | Vegetables (in kg) | Tomatoes (in kg) |
|---|---|---|
| S1 | 5000 | 1200 |
| S2 | 6000 | 1000 |
| S3 | 4800 | 800 |
| S4 | 6400 | 1400 |
| S5 | 5600 | 1800 |
| S6 | 6800 | 2000 |
Taking shops S1, S2 and S5 together, approximately what percentage of all vegetables sold, from these three shops taken together, are tomatoes?
19.11%
21.28%
24.10%
25.89%
Correct answer
19.11%
Pipe A can fill an empty tank in 10 h, Pipe B can fill the same tank, when empty, in 15 h, and Pipe C can empty the same tank, when completely full, in 12 h. Find the time taken to fill half the tank if all three pipes are opened simultaneously when the tank is empty.
6 h
4 h
12 h
8 h
Correct answer
6 h
There are four people in a family. The average age of these four members is 32 years. The father's age is 50 years, the mother's age is 46 years, and the daughter’s age is 20 years. Find the age of the only son in the family.
18 years
16 years
14 years
12 years
Correct answer
18 years
The given pie chart represents the percentage distribution of the number of sandwiches sold by a shopkeeper on different days of a week.
The total number of sandwiches sold on Tuesday is what percentage of the total number of sandwiches sold on Saturday?
40%
60%
45%
50%
Correct answer
40%
The value of 25% of 544 + 38% of 1400 + 60% of 2880 is:
2395
2396
2400
2392
Correct answer
2395
The profit earned on selling a bike for ₹ 68,250 is the same as the loss incurred on selling the bike for ₹ 47,250. Find the cost price of the bike.
₹ 57,250
₹ 57,375
₹ 57,500
₹ 57,750
Correct answer
₹ 57,250
A student has to obtain a minimum of 50% marks in an examination to pass. He scored 40% and failed by 30 marks. Find the total marks of the examination.
320
280
300
400
Correct answer
320
Three pipes, D, E, and F, can fill a tank in 6 min, 8 min and 12 min, respectively.
All the pipes are opened simultaneously, and then pipes D and E, are closed 3 minutes before tank is full. In how much time will the tank be full?
5 min
3 min
6 min
4 min
Correct answer
5 min
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.