Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The average of 20 numbers is 36. If each number is increased by 4, then what will be the new average?
44
46
40
36
Correct answer
44
Ketan and Kunal can complete a job together in 7 days. Kunal is \(\frac{7}{4}\) times as efficient as Ketan. In how many days can Kunal alone complete the job?
12 days
14 days
10 days
11 days
Correct answer
12 days
The marked price of a watch was ₹96,000. A man bought the same watch for ₹67,584 after getting two successive discounts. If the first discount was of 12%, what was the quantum of the second discount?
20%
15%
10%
25%
Correct answer
20%
If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?
14 cm
9 cm
27 cm
18 cm
Correct answer
14 cm
A sum of money, invested at a certain rate of simple interest per annum, amounts to ₹720 in 4 years and to ₹800 in 5 years. The sum invested is:
₹400
₹600
₹500
₹360
Correct answer
₹400
The following graph shows the percentage rise in the profits of two companies over the years.
What is the average of the percentage increases in the year-to-year profit of Company M over all the given years, taken together? [Give your answer correct to the nearest integer value.]
24%
20%
25%
21%
Correct answer
24%
Find the amount payable on maturity if ₹20,00,000 is invested at 12% per annum for \(\frac{3}{2}\) years and interest is compounded half-yearly.
₹23,00,832
₹23,82,032
₹24,00,000
₹23,00,000
Correct answer
₹23,00,832
The following pie chart shows the share of the marks scored by Rahul in an examination in each of 5 different subjects -English, Hindi, Mathematics, Science and Social Science — as percentages of the total marks scored by Rahul in all the 5 subjects taken together.
What is the central angle showing the shares of the marks in Hindi and Social Science, taken together?
186°
196°
144°
172°
Correct answer
186°
A man buys a watch for ₹250 and sells it for ₹300. Find his profit percentage.
20%
25%
15%
10%
Correct answer
20%
Two vessels of equal capacity, and both completely filled, contain mixtures of milk and water in the ratio of 5 ∶ 1 and 6 ∶ 5, respectively. Both the mixtures are now mixed thoroughly. What is the ratio of milk to water in the new mixture so obtained?
105 ∶ 67
57 ∶ 41
91 ∶ 41
28 ∶ 43
Correct answer
105 ∶ 67
A certain sum is divided between four people in the ratio 3 ∶ 4 ∶ 7 ∶ 8, respectively. If the amount received by D is ₹408 more than the amount received by B, what is the total amount received by C and D?
₹1,630
₹1,510
₹1,610
₹1,530
Correct answer
₹1,630
Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
15 days
16 days
\(14\frac{4}{5}\) days
\(15\frac{1}{5}\) days
Correct answer
15 days
A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20 seconds. What is the speed of the train?
360 km/h
450 km/h
540 km/h
270 km/h
Correct answer
360 km/h
There are 45 students in a hostel. If the number of students increases by 5, the total expenses of the mess increase by ₹30 per day while the average daily expenditure per head diminishes by ₹2. Find the original total daily expenditure of the mess.
₹1,170
₹1,710
₹1,200
₹1,250
Correct answer
₹1,170
A person uses a rectangular metallic sheet of 45 m × 30 m for making an open box. From each corner of the sheet he cut offs a square. If the length of one side of each of these squares is 10 m, then what will be the volume of the box (in m3)?
5000
4500
7000
2500
Correct answer
5000
In a class, the average weight of 4 boys is 50 kg and the average weight of 4 girls is 40 kg. What is the average weight of all the 8 students taken together?
44 kg
48 kg
45 kg
42 kg
Correct answer
44 kg
The following table shows the number of songs sung by 6 different singers and uploaded on a streaming website.
| Singer | Songs |
|---|---|
| S1 | 20 |
| S2 | 25 |
| S3 | 15 |
| S4 | 10 |
| S5 | 30 |
| S6 | 20 |
The average number of views per song for S1, S2 and S3 is 100. The average number of views per song for S4, S5 and S6 is 50. What is the total number of views for all the songs sung by all of the 6 different singers taken together?
8500
9000
9500
8000
Correct answer
8500
A man walks at 6 m/sec and reaches his destination in 20 minutes. A woman covers the same distance in 1.2 hours. What is the speed of the woman (in km/h)?
6
2
5
1
Correct answer
6
Find the LCM of 63, 91 and 133.
16561
16651
11561
15561
Correct answer
16561
The price of onion increases by 12.5%. The consumption of onion also increases by 12.5%. What is the approximate percentage increase in the expenditure on account of the purchase of onions?
29.12%
24.82%
28.44%
26.56%
Correct answer
29.12%
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.