Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If \(1 \frac{1}{3} \div \frac{2}{5} \times \frac{x}{5} = 1 \frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\), then the value of x is:
5.5
7.5
7.0
15
Correct answer
5.5
The table below shows the number of trees planted by the government in 4 different years.
| Year | Neem | Oak | Birch |
|---|---|---|---|
| 2019 | 2000 | 3000 | 4000 |
| 2020 | 3000 | 4000 | 5000 |
| 2021 | 5000 | 6000 | 7000 |
| 2022 | 7000 | 8000 | 9000 |
Find the ratio between the number of neem trees planted in the year 2021 and the number of birch trees planted in the year 2022 .
5 ∶ 9
3 ∶ 7
5 ∶ 8
3 ∶ 8
Correct answer
5 ∶ 9
The value of \(\frac{a^2-(b-c)^2}{(a+c)^2-b^2}+\frac{b^2-(a-c)^2}{(a+b)^2-c^2}+\frac{c^2-(a-b)^2}{(b+c)^2-a^2}\) is:
1
2
3
Correct answer
1
Jimmy has to cover a distance of 88 Km in 16 hours. If she covers half of the journey in \(\frac{3}{4}\) time, then what should be her speed to cover the remaining distance in the time left?
12 km/h
10 km/h
11 km/h
13 km/h
Correct answer
12 km/h
The area of a rhombus having one side measuring 17 cm and one diagonal measuring 16 cm is:
280 cm2
180 cm2
240 cm2
210 cm2
Correct answer
280 cm2
In an election between two candidates, 30% of the electorate did not cast their votes. 20% of the votes polled were found invalid. The winning candidate got 64% of the valid votes and won by a majority of 3136 votes. Find the number of voters enrolled in the voter list.
20000
25000
24000
30000
Correct answer
20000
If perimeter of the circle is 13.2 cm, then the radius of the circle is ____.
(Take π = \(\frac{22}{7}\))
6.6 cm
4.2 cm
2.1 cm
3.3 cm
Correct answer
6.6 cm
If cos A = \(\frac{1}{11}\), then find the value of cot A.
\(\frac{2\sqrt 30}{11}\)
2√30
\(\frac{1}{2\sqrt 30}\)
\(\frac{11}{2\sqrt 30}\)
Correct answer
\(\frac{2\sqrt 30}{11}\)
If cosec A + cot A = 3, 0 ≤ A ≤ 90°, then find the value of cos A.
\(\frac{3}{4}\)
\(\frac{2}{5}\)
\(\frac{3}{5}\)
\(\frac{4}{5}\)
Correct answer
\(\frac{3}{4}\)
Study the given table and answer the question that follows. The table shows the number of employees in five different organisations A, B, C, D and E in different departments.
| Dept ↓ Org → | A | B | C | D | E |
|---|---|---|---|---|---|
| HR | 1050 | 1015 | 976 | 888 | 1004 |
| Finance | 1017 | 960 | 786 | 1025 | 963 |
| Marketing | 1382 | 1384 | 1275 | 1300 | 1290 |
| Production | 1542 | 1545 | 4550 | 1570 | 1580 |
| Accounts | 786 | 745 | 801 | 800 | 735 |
| Legal | 48 | 54 | 36 | 30 | 53 |
| Total | 5825 | 5703 | 5424 | 5613 | 5625 |
Which department has a minimum number of employees in each organisation?
Marketing
Production
Accounts
Legal
Correct answer
Marketing
The monthly salary of a person is Rs. 50,000. He spends 40% of his salary on household expenses, 25% on rent, and 15% on transportation, and saves the remaining amount. What is his yearly savings?
Rs. 1,00,000
Rs. 1,10,000
Rs. 1,20,000
Rs. 90,000
Correct answer
Rs. 1,00,000
The average weight of 49 students is 53 kg. When a new student is admitted to the class, the average decreases by 500 g. Find the weight of the new student.
48 kg
18 kg
28 kg
38 kg
Correct answer
48 kg
The monthly budget of an average household is given in the following table.
| Category | Food | Clothing | Rent | Savings |
|---|---|---|---|---|
| Amount | 8000 | 2000 | 6000 | 4000 |
The percentage of the monthly budget spent on clothing is:
10%
12%
8%
4%
Correct answer
10%
Two mixtures A and B have the following compositions:
Mixture A has copper and tin in a ratio of 1 ∶ 2
Mixture B has copper and tin in a ratio of 1 ∶ 3
If equal quantities of mixtures A and B are used for producing mixture C, then find the ratio of copper and tin in mixture C.
2 ∶ 5
1 ∶ 5
7 ∶ 17
7 ∶ 12
Correct answer
2 ∶ 5
Study the given table and answer the question that follows.
The table shows the percentage population of four states below poverty line and proportion of male to female.
| State | Percentage of population below poverty line | Proportion of male to female | |
|---|---|---|---|
| Below poverty line | Above poverty line | ||
| Male : Female | Male : Female | ||
| P | 28 | 3 ∶ 2 | 7 ∶ 3 |
| Q | 15 | 4 ∶ 7 | 6 ∶ 5 |
| R | 24 | 5 ∶ 3 | 3 ∶ 3 |
| S | 13 | 2 ∶ 5 | 1 ∶ 3 |
If the total population of state R is 26,000, then what is the number of females
above poverty line in state R?
9,780
9,880
9,560
9,950
Correct answer
9,780
Two pipes can fill a cistern in 12 hours and 16 hours, respectively. The pipes are opened simultaneously and it is found that due to leakage at the bottom, it takes 90 minutes more to fill the cistern. How much time will the leakage take to empty the completely filled tank?
\(36 \frac{29}{49}\) h
\(38 \frac{10}{49}\) h
\(39 \frac{13}{49}\) h
\(37 \frac{15}{49}\) h
Correct answer
\(36 \frac{29}{49}\) h
In an election between two candidates, the difference between the candidates who won and lost was 2,500 votes. The candidate who won got 75% of the votes, and there were no invalid votes. The total number of votes polled of the losing candidate was:
1875
5000
1250
3750
Correct answer
1875
If the volume of a sphere is 38808 cm3 , then its surface area is:
5554 cm2
5574 cm2
5564 cm2
5544 cm2
Correct answer
5554 cm2
The cost price of pulses is 12% less than the selling price. Using a faulty weighing machine, shopkeeper is able to earn 25% profit. How much per cent of the faulty machine shows more weight as compared to the actual weight (Rounded off to the nearest integer)?
13%
15%
10%
14%
Correct answer
13%
A goods train 350 m long passes through a tunnel of 1250m in 80 seconds. What is the speed of the train?
72 km/h
64 km/h
78 km/h
56 km/h
Correct answer
72 km/h
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.