Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
P can do a piece of work alone in 16 days, Q can do the same work alone in 24 days, while R can do it alone in 48 days. They work together and complete the work, and receive a total of Rs. 744 as payment for doing the work. What is the share of the person who received the smallest amount?
Rs. 118
Rs. 124
Rs. 132
Rs. 112
Correct answer
Rs. 118
The marked price of an article is Rs. 20,000, and while selling, the shopkeeper offers two successive discounts of 12% and d%. If the selling price of the article is Rs. 16,720, then what is the value of d?
5
10
4
8
Correct answer
5
What is the value of \(\frac{\frac{5}{11}\div \frac{7}{25}\times\frac{33}{28}+\frac{5}{12}\times\frac{2}{3}\div \frac{25}{27}}{\frac{6}{11}\times \frac{5}{12}\div\frac{15}{44}}\)?
\(\frac{9670}{1866}\)
\(\frac{8408}{1955}\)
\(\frac{6507}{1960}\)
\(\frac{9567}{1860}\)
Correct answer
\(\frac{9670}{1866}\)
A bag contains coins of Rs. 1, Rs. 2 and Rs. 5 in the ratio 5 ∶ 10 ∶ 6 respectively. The total amount in the bag is Rs. 275. How many Rs. 5 coins are in the bag?
30
35
20
25
Correct answer
30
The ratio of A and B in an alloy is 2 ∶ 5. If the alloy is made of only A and B, how much amount of B will be there in 210 kg of that alloy?
150 kg
135 kg
60 kg
180 kg
Correct answer
150 kg
The following pie chart gives the ratio of various kinds of expenses of a particular family for a week.
If the amount spent on shopping for the week is Rs. 1,000, what is the total amount spent on food?
Rs. 1,450
Rs. 1,750
Rs. 1,650
Rs. 1,550
Correct answer
Rs. 1,450
The following table shows the demand and the production of the items made by four different companies.
| Company Name | Demand (no. of items) | Production (no. of items) |
|---|---|---|
| Company A | 3500 | 1500 |
| Company B | 500 | 2000 |
| Company C | 2500 | 1000 |
| Company D | 1000 | 3500 |
How many extra number of items did company B produce over and above the number of items demanded from it?
2500
2000
1500
500
Correct answer
2500
There are 45 students in a class. 80% of the students passed the exam. How many students failed in the exam?
8
9
5
11
Correct answer
8
In a classroom consisting of boys and girls, the average marks obtained by the boys is 90. If the average of the whole class is 92, and the ratio of the number of boys to that of girls is 3 ∶ 2, what is the average marks scored by the girls?
97
94
96
95
Correct answer
97
There are two numbers such that the first number is twice the second number. If their average is 30, then what is the positive difference between the two numbers?
20
10
15
25
Correct answer
20
The following bar chart shows the number of pens (in ‘000s) sold by 6 different shops during a given year.
If the cost of each pen is Rs. 4.50, then what is the average revenue earned per shop?
Rs. 92,000
Rs. 96,000
Rs. 84,000
Rs. 90,000
Correct answer
Rs. 92,000
The simple interest on a sum deposited at 10% p.a. for 4 years is Rs. 20,000. What will be the compound interest on the same sum at half of the above rate of interest for 2 years, interest compounded yearly?
Rs. 5,010
Rs. 5,125
Rs. 5,020
Rs. 5,015
Correct answer
Rs. 5,010
In an examination, 85% of the students passed. If 75 students failed, then how many students appeared for the examination?
540
500
520
480
Correct answer
540
Simplify the following expression.
15 - {4 - (4 - 1)} + 27
38
41
40
42
Correct answer
38
The area of a trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?
60 feet
35 feet
65 feet
40 feet
Correct answer
60 feet
The product of two numbers is 1296. If the highest common factor of the two numbers is 12, then what is the least common multiple of the two numbers?
108
60
84
120
Correct answer
108
The average of 5 terms is 15. If the first 4 terms are 12, 17, 23, and 8, what will be the fifth term?
30
15
22
20
Correct answer
30
A 600-metre-long train is running at the speed of 45 km/h. How much time will the train take to completely cross a stationary pole?
60 s
48 s
54 s
42 s
Correct answer
60 s
Two cubes, each having a total surface area of 150 cm2, are joined together to form a cuboid. Find the total surface area of the resulting cuboid.
225 cm2
250 cm2
275 cm2
300 cm2
Correct answer
225 cm2
Samira can do a piece of work in 9 days. Sujata can do \(\frac{1}{3}\) of the same work in 3 days. If Samira worked alone for 2 days and left, then, in how many days can Sujata alone complete the remaining work?
7 days
8 days
9 days
12 days
Correct answer
7 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.