Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Nalini purchased 20 dozen apples at ₹48 per dozen. She sold 8 dozen of them at 10% profit and the remaining 12 dozen at 20% profit. What is the overall profit percentage gained in this transaction?
10%
45%
16%
22%
Correct answer
10%
The following bar graph shows the number of kids who like different fruits.
What percentage of kids like bananas or apples?
40%
50%
30%
60%
Correct answer
40%
What is the value of (1 ÷ 4) + (1 ÷ 6) - {(1 ÷ 8) ÷ (1 ÷ 4 )}?
-(11 ÷ 12)
-(5 ÷ 12)
-(7 ÷ 12)
-(1 ÷ 12)
Correct answer
-(11 ÷ 12)
P1 and P2 can do a piece of work together in 14 days, P2 and P3 can do the same work together in 21 days, while P3 and P1 can do it together in 42 days. How much work can all the 3 together do in 12 days?
\(\frac {5}{6}\)
\(\frac {5}{7}\)
\(\frac {6}{7}\)
\(\frac {3}{7}\)
Correct answer
\(\frac {5}{6}\)
N1 alone can do 20% of a piece of work in 6 days, N2 alone can do 20% of the same work in 4 days, and N3 alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?
10 days
\(\frac {120}{13}\) days
8 days
\(\frac {120}{17}\) days
Correct answer
10 days
The following pie chart chows the various expenses of a family, as percentages of total expenditure of the family during a period.
If the total expenditure of the family during that period was ₹2,00,000, then find the amount spent on medical expenses.
₹5,000
₹20,000
₹10,000
₹40,000
Correct answer
₹5,000
The following table shows the monthly expenses (in ₹) of three persons.
| Expenses (in ₹) | Person A | Person B | Person C |
|---|---|---|---|
| Housing or Rent | 15,000 | 10,000 | 12,000 |
| Travel | 2,000 | 2,500 | 3,000 |
| Food | 5,000 | 4,500 | 6,000 |
| Bills | 5,000 | 4,000 | 4,500 |
| Entertainment | 3,000 | 4,000 | 4,000 |
| Savings | 10,000 | 15,000 | 10,500 |
What is the total expenses of all three persons on Food?
₹15,000
₹14,500
₹20,500
₹15,500
Correct answer
₹15,000
What sum of money should be invested to earn a simple interest of ₹5,040 in 3 years and 6 months at 12% rate of interest per annum?
₹9,000
₹11,000
₹15,000
₹12,000
Correct answer
₹9,000
What is the value of 1.5 - 0.5 {(9 + 2) - 5} ?
-1.5
11
9
5
Correct answer
-1.5
If a taxi travels 600 m in 12 min, then how fast is it going?
45 m/min
90 m/min
50 m/min
70 m/min
Correct answer
45 m/min
The cost prices of a table and a chair are ₹400 and ₹1,200, respectively. The table and the chair are sold at profits of 50% and 20%, respectively. What is the overall profit percentage gained from the two sales taken together?
24.5%
22.5%
27.5%
23.5%
Correct answer
24.5%
The following bar graph shows the sales of two wheelers from three different branches of a company during two consecutive years 2018 and 2019.
What is the average sale of all the branches in the year 2019?
1900
2000
1500
1700
Correct answer
1900
Two cylinders have their heights in the ratio 1 ∶ 2 and their radii in the ratio 2 ∶ 1. What is the ratio of their volumes?
3 ∶ 1
1 ∶ 3
2 ∶ 1
1 ∶ 2
Correct answer
3 ∶ 1
The difference between the compound interest, when compounded annually, and the simple interest on a certain sum of money for 2 years at 4.2% is ₹8.82. What is the sum?
₹4,500
₹2,100
₹5,000
₹3,000
Correct answer
₹4,500
A train crosses a stationary pole in 20 seconds and a bridge in 32 seconds. If the length of the bridge is 1200 metres, then what is the speed of the train?
360 km/h
180 km/h
270 km/h
450 km/h
Correct answer
360 km/h
If a ∶ b = b ∶ c, then what is the value of a6 ∶ b6?
a3 ∶ b3
b3 ∶ ac
a3 ∶ c3
a2 ∶ b2
Correct answer
a3 ∶ b3
The following table shows the amount (in quintals) of 6 different types of sweets sold by a shop during a given year.
| Sweet | Amount |
|---|---|
| S1 | 32 |
| S2 | 48 |
| S3 | 23 |
| S4 | 37 |
| S5 | 39 |
| S6 | 21 |
The amount of S1 sold in that year was what percentage of the average amount of sweets sold per type during that year?
80%
84%
88%
96%
Correct answer
80%
If ₹39,500 is divided into three parts in the ratio 24 ∶ 15 ∶ 40, then what is the value of the third part, in the given order?
₹18,000
₹12,000
₹7,500
₹20,000
Correct answer
₹18,000
What percentage above the cost price should a seller mark his goods so that, after allowing a discount of 20% on the marked price, he can earn a profit of 4%?
25%
28%
42%
30%
Correct answer
25%
What is the value of (3 ÷ 4) of 20 + 16 ÷ 2 - {(1 ÷ 3) of 12 + (2 ÷ 5) of 25}?
8
7
10
9
Correct answer
8
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.