Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The price of a cap is increased by 15%. If this results in a Rs. 27 increase in the price of the cap, then what is the increased price of the cap?
Rs. 170
Rs. 197
Rs. 207
Rs. 180
Correct answer
Rs. 170
Study the given table and answer the question that follows.
The table shows the amount earned (in Rs. ‘000) by five different movies across all screens a movie was played.
| Movies | The amount collected per movie (in Rs. ‘000) |
|---|---|
| M1 | 450 |
| M2 | 370 |
| M3 | 510 |
| M4 | 640 |
| M5 | 830 |
All the movies were displayed on 50 screens each. What is the average amount earned per movie, per screen, all movies and all screens are taken together?
Rs. 14,200
Rs. 11,200
Rs. 12,600
Rs. 13,400
Correct answer
Rs. 14,200
X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?
8 days
\(\frac{29}{3}\) days
\(\frac{32}{3}\) days
9 days
Correct answer
8 days
The average of all the numbers between 14 and 61 which are divisible by 5 is:
37.5
38
40
44
Correct answer
37.5
Five years from now, the ratio of the ages of A, B and C will be 3 ∶ 5 ∶ 2. The sum of the squares of their present ages is 525. What is the present age of B?
10 years
15 years
25 years
20 years
Correct answer
10 years
What should come in place of the question mark (?) in the following mathematical statement?
\(\sqrt{19\times650\div13+18.5\times4}\times13=?\)
416
418
413
415
Correct answer
416
A train goes from P to Q at a speed of 20 km/h. Then it goes from Q to R at a speed of q km/h. Finally the train goes from R to S at a speed of r km/h. The distances from P to Q, Q to R and R to S are equal. If the average speed from P to R is \(\frac{280}{11}\) km/h, and the average speed from Q to S is \(\frac{112}{3}\) km/h, then what is the value of r ?
40
37.5
42.5
45
Correct answer
40
The length of each side of a cube is 4 cm. What is the volume of the cube?
128 cm3
48 cm3
64 cm3
32 cm3
Correct answer
128 cm3
The amount received after 8 years on a certain sum of money invested at the rate of 18% simple interest per annum is Rs. 1,220. What was the initial sum invested?
Rs. 500
Rs. 480
Rs. 420
Rs. 450
Correct answer
Rs. 500
Piu and Titu start from the same place at the same time and walk in opposite directions. If Piu walks at 5 km/h and Titu walks at 2 km/h, after what time will they be 10.5 km apart?
3.5 hours
1.5 hours
2.5 hours
2 hours
Correct answer
3.5 hours
The incomes of Ramesh and Suresh are in the ratio of 5 : 7, and their expenditures are in the ratio of 1 : 2. If each of them saves ₹15,000, then what is Suresh’s income?
₹25,000
₹35,000
₹45,000
₹15,000
Correct answer
₹25,000
An 800-meter long train crosses a stationary pole in 15 seconds. What is the speed of the train?
192 km/h
156 km/h
174 km/h
210 km/h
Correct answer
192 km/h
A shopkeeper earns a profit of 16% if he allows a discount of 20% on the marked price of an article. What will be the profit percent earned by the shopkeeper if he sold the article at its marked price?
45%
35%
36%
55%
Correct answer
45%
The average of eight consecutive odd numbers is 16. If the odd number immediately preceding the smallest of the given eight odd numbers is also included, then what will be the new average?
15
14
9
13
Correct answer
15
If P : Q = 2 : 7, then what is the value of (Q - P) : (Q + P)?
2 : 3
5 : 9
6 : 7
5 : 6
Correct answer
2 : 3
The following table shows the number of males and the number of females in three different housing societies in a city.
| Society Name | Male | Female |
|---|---|---|
| Society X | 180 | 112 |
| Society Y | 210 | 240 |
| Society Z | 110 | 208 |
What is the difference between the total number of females and the total number of males in all the three societies taken together?
50
58
60
48
Correct answer
50
The volume of a cuboid is 3600 cm3. If the length and the breadth of the cuboid are 20 cm and 12 cm, respectively, then what is the height of this cuboid?
18 cm
14 cm
16 cm
15 cm
Correct answer
18 cm
Salary of Prakash was ₹75,000. If he gets an increment of 8%, then what will be his new salary?
₹81,000
₹80,000
₹1,08,000
₹77,000
Correct answer
₹81,000
What is the greatest number which divides each of 150, 270 and 180 exactly?
50
30
10
3
Correct answer
50
The following pie chart shows the amount of loan given by each of seven different banks as a percentage of the total loan given by these 7 banks taken together.
What will be the angle made by sector B2?
64.2°
58.2°
61.2°
67.2°
Correct answer
64.2°
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.