Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If a person purchases an item at Rs. 3,000 and he sells it at 10% profit, then find the selling price of the item.
Rs. 3,200
Rs. 3,100
Rs. 3,300
Rs. 3,400
Correct answer
Rs. 3,200
Walking towards a bus stop at \(\frac{5}{7}\) of his usual speed, Rakesh missed the bus by 10 minutes. What is the usual time that Rakesh takes to reach the bus stop just in time for the bus?
30 minutes
20 minutes
15 minutes
25 minutes
Correct answer
30 minutes
Vijay sold a watch at a loss of 50%. If the loss is Rs. 2,400, then what is the selling price of the watch?
Rs. 1,200
Rs. 2,400
Rs. 4,800
Rs. 3,600
Correct answer
Rs. 1,200
The length of a rectangle is 4 times of its breadth. If the area of the rectangle is 576 cm2, then what is the perimeter of this rectangle?
112 cm
60 cm
56 cm
120 cm
Correct answer
112 cm
What will be the amount payable on maturity on a principal of Rs. 12,000, invested for 3 years, at the rate of 10% per annum, compounded annually?
Rs. 14,928
Rs. 15,972
Rs. 16,826
Rs. 18,922
Correct answer
Rs. 14,928
The following pie chart gives the percentages of the number of students studying in different streams in an engineering college. There are 5000 students in the college in all.
The college decided to give ₹300 per student to each stream for the purchase of teaching materials. How much will the Electronics and Communication stream get?
Rs. 2,25,000
Rs. 1,80,000
Rs. 3,00,000
Rs. 1,20,000
Correct answer
Rs. 2,25,000
The marked price of an item is 25% more than its selling price. The selling price of the same item is 20% more than its cost price. The marked price of that item is what percentage more than its cost price?
45%
35%
50%
40%
Correct answer
45%
Find the total surface area of a closed hemisphere whose diameter is 7 cm. [Use π = \(\frac{22}{7}\)]
77 cm2
154 cm2
110 cm2
115.5 cm2
Correct answer
77 cm2
The average of 12 numbers is 15, and the average of the first four numbers is 13. What is the average of the remaining numbers?
16
14
12
18
Correct answer
16
A retailer buys a used laptop for Rs. 22,500. His overhead expenses are Rs. 1,500. He sells the laptop for Rs. 30,000. The profit percentage of the retailer is :
50%
25%
10%
52%
Correct answer
50%
The following table shows the marks secured (out of 50) in two subjects by a number of students of a school.
| Subject | Marks out of 50 | ||||
|---|---|---|---|---|---|
| 40 and above | 30 and above | 20 and above | 10 and above | 0 and above | |
| Hindi | 80 | 120 | 150 | 540 | 1200 |
| English | 40 | 140 | 180 | 960 | 1200 |
What is the ratio of the number of students who scored 40 and above in Hindi to the number of students who scored 20 and above in English?
3 ∶ 4
4 ∶ 9
9 ∶ 4
4 ∶ 3
Correct answer
3 ∶ 4
Kavita can complete a piece of work alone in 12 hours, while Komal can complete the same work alone in 18 hours. Kavita works alone for the first 4 hours and leaves. After that, Komal comes and completes the remaining work by herself. How much time did Komal take to finish the remaining work?
15 hours
10 hours
16 hours
12 hours
Correct answer
15 hours
Two wires of lengths 10 m 54 cm and 11 m 56 cm are both cut into pieces of length x cm each, where x is an integer. Find the maximum value of x.
42
56
34
28
Correct answer
42
Rahul’s monthly income is Rs. 1,50,000. Of this, he saves Rs. 1,500. Find the percentage of his savings.
4%
2%
3%
1%
Correct answer
4%
For a candidate to pass an examination, he must score 60% marks. If he scored 345 and failed by 15 marks, then what are the total marks for the examination?
400
480
600
540
Correct answer
400
What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?
70 feet
20 feet
50 feet
30 feet
Correct answer
70 feet
What will be average of all the odd numbers between 8 and 32?
21
18
20
19
Correct answer
21
If \(\rm P = \frac{5}{6}Q\) and \(\rm Q = \frac{4}{5}R\), what is 2P ∶ 3Q ∶ 4R?
5 ∶ 9 ∶ 15
9 ∶ 5 ∶ 6
8 ∶ 9 ∶ 16
6 ∶ 8 ∶ 15
Correct answer
5 ∶ 9 ∶ 15
A boat can travel 21 km in 3 hours going upstream. It can travel 55 km in 5 hours going downstream. What is the speed of the stream?
2.5 km/h
3.5 km/h
3 km/h
2 km/h
Correct answer
2.5 km/h
Two numbers are in the ratio 3 ∶ 5. If 4 is subtracted from each of these two numbers, the new numbers then are in the ratio 4 ∶ 7. Find the smaller of the two original numbers.
2
18
4
36
Correct answer
2
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.