Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If 3a ∶ 2b = (6a - 3) ∶ (3b - 2) and a = b - 1, then what will be the value of 12ab?
28
24
30
32
Correct answer
28
The cost price of a chair is three times of the profit earned on selling the chair. What is the approximate profit percentage gained through the sale?
45%
33.33%
25%
20%
Correct answer
45%
Prakhar scored 82% marks in an examination. If he scored 656 marks, then what are the total marks for the examination?
800
700
680
760
Correct answer
800
Riya and George start walking towards each other from their houses at the speeds of 6 km/h and 8 km/h, respectively. After how long will they meet if the distance between their houses is 28 km.
5 h
1.5 h
3 h
2 h
Correct answer
5 h
A person invests Rs. 55,000 for two years on compound interest such that the rate of interest for the first year is 8% per annum and that for the second year is 12% per annum, and the interest is compounded annually. What is the total interest earned by the person?
Rs. 11,645
Rs. 11,528
Rs. 12,386
Rs. 10,847
Correct answer
Rs. 11,645
A fruit seller initially had 'm’ kg of apples. He sold 56% of these apples to a customer and was still left with 110 kg of apples. What is the value of 'm'?
250
220
200
280
Correct answer
250
The average of 30 numbers is 36. If Z is subtracted from each of these 30 numbers, then the average becomes 28. What is the value of Z?
2
8
6
4
Correct answer
2
A car starts at a speed of 30 km/h and increases its speed by 5 km/h after every hour. Another car has a constant speed of 40 km/h. In how much time will both the cars cover an equal distance?
6 hours
3 hours
5 hours
4 hours
Correct answer
6 hours
A camp of soldiers has food for 400 days. After 40 days, 150 soldiers leave the camp. As a result, the food can last for 480 days from then onwards. What was the initial number of soldiers?
750
600
450
900
Correct answer
750
Meena scored 303 runs against England, in which she hit 32 fours and 4 sixes. What approximate percentage of the total runs were scored by Meena by running between the wickets?
46.24%
49.83%
31.24%
47.23%
Correct answer
46.24%
A work could be completed in 100 days by some workers. Due to the absence of 16 workers, the work was completed in 108 days. Find the original number of workers.
204
254
226
216
Correct answer
204
The value of (799 × 48 ÷ 282) - 11 - 121 is:
4
6
12
7
Correct answer
4
The HCF and the LCM of two numbers are 35 and 840, respectively. If the ratio of the two numbers is 3 ∶ 8, then the smaller of the two numbers is:
35
280
105
210
Correct answer
35
The sum of the radius of the base and the height of a cylinder is 55 cm. If the height of the cylinder mentioned above is 15 cm more than the radius of its base, then what is the curved surface area of this cylinder? [Use π = \(\frac{22}{7}\)]
2200 cm2
3500 cm2
2800 cm2
4400 cm2
Correct answer
2200 cm2
The following table shows the number of parks in four cities of India.
| City | Number of parks |
|---|---|
| Delhi | 346 |
| Jaipur | 247 |
| Mumbai | 326 |
| Kolkata | 421 |
The number of parks in Delhi is what percentage of the total number of parks in all the four cities taken together? [give your answer correct to 1 decimal place.]
32.2%
25.8%
28.7%
26.4%
Correct answer
32.2%
The area of a trapezium is 100 cm2. If the distance between the parallel sides of the trapezium is 10 cm, then what is the sum of the lengths of the two parallel sides?
18 cm
20 cm
15 cm
10 cm
Correct answer
18 cm
The following bar graph shows the monthly incomes (in thousand rupees) of Aman, Suman and Jyoti in six consecutive years.
What was the difference between the average monthly income of Jyoti over all the six years taken together and Aman’s monthly income in the year 2006?
Rs. 3000
Rs. 3500
Rs. 4000
Rs. 4500
Correct answer
Rs. 3000
The following pie chart shows the actual number (in ‘000) of books printed in a year by 6 different publishers.
What is the sum of the central angles made by sector P4 and sector P6?
108°
90°
126°
144°
Correct answer
108°
The marked price of a cup is 20% more than its cost price. What can be the maximum discount given while selling the cup so that there is no loss incurred? [Give your answer correct to 2 decimal places.]
14.28%
14.5%
16.67%
20%
Correct answer
14.28%
Half of the perimeter of a square is 50 cm. What is the length of each side of the square?
15 cm
30 cm
25 cm
20 cm
Correct answer
15 cm
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.