Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The LCM of two numbers is 450. If the product of the two numbers is 20250, then find their HCF.
90
15
150
45
Correct answer
90
If the ratio of an external angle and an internal angle of a regular polygon is 1 : 5, then what is the number of sides in the polygon?
24
22
12
30
Correct answer
24
The average marks of a group of 16 students in a test are reduced by 4 when the topper, who scored 92 marks, is replaced by a new student. What are the marks scored by the new student?
18
28
32
22
Correct answer
18
The selling price of an item is 20% less than its marked price. The marked price of the item is 30% more than the cost price. What is the profit percentage?
10%
4%
6%
8%
Correct answer
10%
If 45% of (x - y) = 30% of (x + y), then what percent of x is y?
23%
15%
18%
20%
Correct answer
23%
The average of 12 consecutive odd numbers is 32. What is the difference between the largest number and the smallest number that are part of the set of 12 consecutive odd numbers mentioned above?
22
25
21
18
Correct answer
22
The ratio of P and Q in an alloy is 3: 7. If the alloy is made of only P and Q, how much amount of Q will be there in 1800 kg of that alloy?
1150 kg
1320 kg
1210 kg
1260 kg
Correct answer
1150 kg
Sneha bought a fridge for Rs. 10,000. She spent Rs. 5,000 on its repairs, and then sold it for Rs. 16,000. Find the gain percentage.
20%
6.67%
55.48%
30%
Correct answer
20%
The average of seven numbers is 9. If each number is multiplied by a number P, then the average becomes 36. What is the value of P?
4
18
27
5
Correct answer
4
What will come in place of the question mark (?) in the following equation?
62% of 2200 - 24% of (?) = 932
4320
2200
1364
1800
Correct answer
4320
What is the value of 56 - [36 - {2 + 10 × (6 - 3)}] ?
26
44
50
52
Correct answer
26
What is the value of \(\frac{{\frac{5}{6} - \frac{5}{{11}}of\left[ {\frac{3}{7} + \frac{8}{{12}} \div \frac{6}{{24}} + \frac{5}{7}} \right]}}{{\frac{3}{{12}} \times \frac{6}{5}}}\) ?
\(\frac{-1891}{691}\)
\(\frac{2075}{693}\)
\(\frac{-1894}{891}\)
\(\frac{-2075}{693}\)
Correct answer
\(\frac{-1891}{691}\)
The following table shows the number of trains that originate in the five different zones of the railway network of a country.
| Zone | Trains |
|---|---|
| Z1 | 690 |
| Z2 | 710 |
| Z3 | 830 |
| Z4 | 670 |
| Z5 | 900 |
The total number of trains that originate in Z3 and Z4 taken together is what percentage of the total number of trains that originate in all the 5 zones taken together? [Give your answer correct to 2 decimal places.]
43.49%
31.23%
39.47%
45.61%
Correct answer
43.49%
The following pie chart shows the expenditure of a village in a given year in the different sectors of its economy.
If the amount spent on agriculture was Rs. 8.5 crore, then find the amount spent in the IT sector.
Rs. 7.5 crore
Rs. 10.5 crore
Rs. 8 crore
Rs. 9 crore
Correct answer
Rs. 7.5 crore
A sum of Rs. 3,400 is divided among P and Q in such a way that \(\frac{3}{4}\) of P's share is equal to \(\frac{2}{3}\) of Q's share. What is the positive difference between the shares of P and Q?
Rs. 500
Rs. 400
Rs. 200
Rs. 300
Correct answer
Rs. 500
Profit earned on selling a book for Rs. 450 is the same as the loss incurred on selling it for Rs. 390. Find the cost price of the book.
Rs. 380
Rs. 460
Rs. 360
Rs. 420
Correct answer
Rs. 380
The length, the breadth, and the height of a closed cardboard box are in the ratio of 5 : 3 : 7, respectively. Find the length of this box, if its total surface area is 1278 cm2.
20 cm
15 cm
25 cm
10 cm
Correct answer
20 cm
If a sum of money amounts to 6 times of itself in 25 years at simple interest, then what is the rate of interest per annum?
20%
22.5%
15%
25%
Correct answer
20%
Train A crosses train B completely in 90 seconds, with the trains running in opposite directions. The lengths of the trains A and B are 900 metres and 1800 metres, respectively. If the speed of train A is 45 km/h, then in how much time can train B cross a stationary pole?
\(\frac{830}{7}\)seconds
\(\frac{810}{7}\)seconds
\(\frac{720}{7}\)seconds
\(\frac{650}{7}\)seconds
Correct answer
\(\frac{830}{7}\)seconds
Find the ratio of the simple interest and the compound interest on Rs. 100 at 10% per annum for 2 years, if, when compounded, interest is compounded annually.
13 : 32
20 : 21
21 : 20
32 : 13
Correct answer
13 : 32
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.