Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A number X is 60% of the average of 20, 28 and 36. What is the value of the number X?
29.5
16.8
25.6
15 .5
Correct answer
29.5
An aeroplane covers a distance of 900 km in 1.5 hours. What is the speed of the aeroplane?
500 km/h
300 km/h
600 km/h
400 km/h
Correct answer
500 km/h
If the average of 20, 40, 50, Y and Z is 45 , then what is the average of Y and Z?
58.5
57.5
56.5
55
Correct answer
58.5
By selling an article for ₹1,200 , a shopkeeper suffered a loss of 20%. What was the cost price of that article?
₹1,500
₹1,020
₹1,000
₹1,180
Correct answer
₹1,500
The area of a circle is 2464 cm2. What is the diameter of this circle? [Use \(\pi=\frac{22}{7}\)]
56 cm
24 cm
48 cm
28 cm
Correct answer
56 cm
Study the given pie-chart and answer the question that follows.
The following pie chart shows the sectors representing the shares of the number of chairs produced in a given year of each of six different brands in terms of the central angles (in degrees) with respect to the total number of chairs produced in that year of all the six brands taken together.
If the total number of chairs produced of these six brands taken together is 7200, then what is the total number of chairs produced of brands B2 and B3 taken together?
1750
2400
2100
1800
Correct answer
1750
What is the greatest number which divides 784 and 857 and leaves the remainder 4 and 2, respectively?
3
5
30
15
Correct answer
3
In an election between 2 candidates, 5% of the votes were invalid. The winning candidate got 2200 votes and the losing candidate got 1600 votes. The losing candidate got what percentage of the total votes cast?
35%
30%
45%
40%
Correct answer
35%
K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together and complete the work, and receive a total of ₹3,900 as payment for doing the work. What is the share of the person who received the maximum amount?
₹1,200
₹2,400
₹2,000
₹1,600
Correct answer
₹1,200
What is the value of \(\frac{7}{11} \div \frac{21}{33} \times \frac{5}{12}+\frac{10}{36} \times \frac{6}{11} \div \frac{18}{33}\)?
\(\frac{29}{35}\)
\(\frac{25}{36}\)
\(\frac{28}{39}\)
\(\frac{24}{41}\)
Correct answer
\(\frac{29}{35}\)
The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?
108 cm2
112 cm2
128 cm2
96 cm2
Correct answer
108 cm2
While purchasing an item costing ₹600, Rashi had to pay sales tax at 5%. What amount did Rashi have to pay as sales tax?
₹30
₹60
₹45
₹15
Correct answer
₹30
The mean temperature from Monday to Thursday is 39.25°C. The mean temperature from Thursday to Sunday is 40.25°C. If the sum of the daily temperatures of all the days during the week, from Monday to Sunday, is 277.5°C, then what is the temperature for Thursday?
40.5°C
38.5°C
41.5°C
39.5°C
Correct answer
40.5°C
In how many years will the simple interest on a sum of ₹ 6,000 lent at 5% per annum be equal to the simple interest on a sum of ₹ 2000 lent for 30 years at 4% per annum?
6 Years
12 Years
20 Years
8 Years
Correct answer
6 Years
At a refugee camp, the food supplies were enough to feed 300 refugees for 45 days. But 60 more refugees joined after 15 days. For how many days would the rest of the food supplies last?
23 days
24 days
22 days
25 days
Correct answer
23 days
Aadish can complete a work in 14 days. If he worked for 8 days, then what fraction of the work would be left?
\(\frac{2}{7}\)
\(\frac{3}{7}\)
\(\frac{4}{7}\)
\(\frac{1}{7}\)
Correct answer
\(\frac{2}{7}\)
The following table shows the income (in Rs.) of five different persons (A, B, C, D, E) over given 4 years.
| Years | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|
| A | 12000 | 12500 | 13000 | 13500 |
| B | 10000 | 11000 | 12000 | 13000 |
| C | 5000 | 6000 | 7000 | 8000 |
| D | 20000 | 25000 | 30000 | 35000 |
| E | 15000 | 16000 | 17000 | 18000 |
Find the average income of the five persons in year 2015.
Rs. 12,600
Rs. 12,400
Rs. 12,700
Rs. 12,500
Correct answer
Rs. 12,600
The diameter of a circle is 42 cm. What is the difference between the lengths of the circumference and the radius of the circle? [Use π = \(\frac{22}{7}\)]
98 cm
94 cm
111 cm
105 cm
Correct answer
98 cm
Find the average of the first fifteen multiples of 11.
55
35.5
88
77
Correct answer
55
A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?
40 days
56 days
60 days
16 days
Correct answer
40 days
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.