Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The monthly income of a person is ₹25,000. He spends 80% of his income and saves the rest. His nominal income and his nominal spending both increased by 10%. What will be his new savings?
₹5,500
₹6,000
₹5,750
₹5,000
Correct answer
₹5,500
Study the table given below and answer the question based on it.
The given table shows the percentage of population affected by COVID-19 and the ratio of male to female affected in six different cities.
| City | Percentage of Population Affected by COVID-19 | Proportion of men and women diagnosed with COVID-19 |
|---|---|---|
| Durjanpur | 40 | 3 : 2 |
| Sitapur | 21 | 2 : 1 |
| Durgapur | 60 | 5 : 7 |
| Shyampur | 50 | 7 : 3 |
| Haripur | 55 | 6 : 5 |
| Devpur | 25 | 4 : 1 |
If in Haripur, the number of male patients of COVID-19 was 8436 and in Sitapur, the number of female patients of COVID-19 was 30% less than the number of female patients of COVID-19 in Haripur, then the number of patients of COVID-19 in Sitapur was What was the total number of patients?
16,872
14,763
19,794
13,536
Correct answer
16,872
The average of four consecutive odd numbers is 8. If the next odd number is also considered, then what will be the new average of these five numbers?
9
7
10
11
Correct answer
9
An article costs ₹750. It is marked up to give 30% profit. What is the selling price if a customer gets a discount of 15% on it?
₹758.75
₹828.75
₹800
Same as the cost price
Correct answer
₹758.75
The diagonal of a rectangle is 20 cm. If its breadth is 12 cm, then what will be its length?
15 cm
16 cm
18 cm
17 cm
Correct answer
15 cm
A alone can do a piece of work in 12 days. B alone can do the same work in 18 days. C alone can do the same work in 24 days. In how many days will they complete 65% of the work, if all three work together?
3.6 days
3.9 days
4.2 days
4.5 days
Correct answer
3.6 days
Study the given bar-graph and answer the question that follows.
The bar-graph given below shows the total selling price (in ₹) and the total cost price (in ₹) of five different flowers in a flower shop on a particular day.
The number of roses, lilies and sunflowers sold from that shop on that day were 7, 5, and 10, respectively. Find the sum of the profits earned by selling a rose, a lily and a sunflower on that day.
₹120
₹150
₹90
₹100
Correct answer
₹120
Find the length of a train, if it completely crosses two bridges of lengths 600 m and 300 m in 80 seconds and 60 seconds, respectively.
120 m
130 m
600 m
110 m
Correct answer
120 m
The value of 162Â - 256\(\frac{1}{4}\)Â + 2197\(\frac{1}{3}\) is:
265
280
262
241
Correct answer
265
The selling price of a bulb is half of its cost price. What is the loss percentage?
60%
20%
40%
50%
Correct answer
60%
The length of the common chord of two circles of radii 18 cm and 16 cm is 19.2 cm. What is the distance between the centres of the two circles? [Give your answer correct to the nearest integer value.]
23 cm
28 cm
20 cm
35 cm
Correct answer
23 cm
Study the given table and answer the question that follows.
The table below shows the number of cricket bats made by five workers on six days of a particular week.
| Day → Worker ↓ | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|---|---|---|---|---|---|---|
| A B C D E | 90 | 70 | 110 | 85 | 75 | 60 |
| 40 | 65 | 70 | 82 | 90 | 95 | |
| 100 | 95 | 74 | 80 | 63 | 60 | |
| 40 | 40 | 50 | 45 | 60 | 30 | |
| 54 | 65 | 32 | 48 | 85 | 96 |
In how many days is the number of bats made by C more than the average number of bats made by A per day?
3
4
2
1
Correct answer
3
The length and the breadth of a rectangular cardboard are 40 cm and 35 cm, respectively. If the biggest possible square is cut out from this cardboard, what is the area of the remaining part of the cardboard?
175 cm2
275 cm2
425 cm2
325 cm2
Correct answer
175 cm2
​If the HCF of two numbers (each greater than 17) be 17 and the LCM be 561, then find the sum of the numbers.
387
238
268
340
Correct answer
387
Shubham bought a book from Meesho at Rs. 500. Meesho also charged an additional Rs. 25 for packaging and Rs. 50 for delivering the book. For what amount should Shubham sell his book to make a profit of 16%?
Rs. 667
Rs. 612
Rs. 783
Rs. 458
Correct answer
Rs. 667
The average weight of 17 students of a class is 56 kg. 3 new students whose weights are 57, 62 and 68 kg, respectively, join the class. Find the new average weight of the students of the class.
56.45 kg
56.95 kg
58.05 kg
57.65 kg
Correct answer
56.45 kg
J can complete a work in 21 days, K can complete it in 42 days and L can complete it in 63 days. If J, K and L work ​together, in how many days can they complete the work?
11\(\frac{6}{11}\)
11\(\frac{3}{11}\)
11\(\frac{4}{11}\)
11\(\frac{5}{11}\)
Correct answer
11\(\frac{6}{11}\)
If A = \(\frac{{3, \times ,4, + ,2}}{{6, \div ,3, + ,2}}\) and B = \(\frac{{12, \div ,6, \times ,2}}{{8, \div ,4, - ,3}}\), then what is the value of A2 + B2 - 2AB?
72.25
52.25
42.25
56.25
Correct answer
72.25
If m : n = 5 : 4, then what is the value of (m2Â + n2) :Â (m2Â - n2)?
16 : 9
25 : 9
32 : 5
41 : 9
Correct answer
16 : 9
A sum of money is distributed among A, B and C in the ratio 8 : 4 : 3. If A divides his part between D and E in the ratio 9 : 7, then what is the ratio of the share of C to that of D?
4 : 5
3 : 4
2 : 3
6 : 7
Correct answer
4 : 5
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.