Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A, B and C together can complete a work in 10 days. A and B together can do the same work in 12 days. If A, B and C received Rs. 9,000 for doing the work together, then what was the share of C from the above amount?
Rs. 3,000
Rs. 3,750
Rs. 1,500
Rs. 2,250
Correct answer
Rs. 3,000
What is the value of \(\rm \frac{75}{28}\times\frac{7}{12}+\left[\frac{5}{12}+\left{\frac{5}{7}+\left(\frac{8}{12}\ of\ \frac{36}{24}-\frac{1}{2}\right)\right}\right]\)?
\(\frac{1811}{335}\)
\(\frac{1085}{339}\)
\(\frac{1073}{336}\)
\(\frac{1561}{337}\)
Correct answer
\(\frac{1811}{335}\)
What is the value of a in the following equation?
34 + 16 - a × [40 ÷ 5 - 3] = 15
5
7
9
6
Correct answer
5
A man completes his journey in 6 hours. He covers half the distance at 10 km/h and the rest at 20 km/h. The length of the journey is :
30 km
10 km
80 km
20 km
Correct answer
30 km
The radius of the base and the height of a closed cylinder are 14 cm and 14 cm, respectively. The total surface area of the cylinder is equal to the area of a circle. What will be the diameter of the circle? [Use π = \(\frac{22}{7}\)]
56 cm
28 cm
14 cm
35 cm
Correct answer
56 cm
A sum of Rs. 7,000 deposited at compound interest becomes triple of itself after 4 years. How much will the amount be after 12 years?
Rs. 49,000
Rs. 63,000
Rs. 1,89,000
Rs. 84,000
Correct answer
Rs. 49,000
A shopkeeper marks up his price by 12% and then allows a 12% discount. What is his profit or loss percentage?
1.44% loss
1.2% profit
6% profit
4% loss
Correct answer
1.44% loss
the average of nine consecutive even numbers is 24. What is the average of the smallest three of these 9 given numbers?
21
20
18
19
Correct answer
21
The following bar graph shows the number of pages read by five friends when they went to a library.
In percentage terms, how many more pages did Rishi read than Neha?
10%
15%
5%
20%
Correct answer
10%
A sum of money amounts to 5 times of itself in 20 years, when invested at a certain rate of simple interest per annum. What is the rate of simple interest per annum that is on offer?
25%
12.5%
20%
15%
Correct answer
25%
What is the value of -19 + 11 - 5 - (1 ÷ 8) of 32?
-17
17
19
-19
Correct answer
-17
A work that could be completed in 10 days was completed in 8 days as 5 more men joined at the start of work. What was the total number of men before the 5 men joined?
18
10
20
12
Correct answer
18
The average of X, Y and Z is 2X. If the average of Y and Z is 20, then what is the value of X?
6
8
10
5
Correct answer
6
A merchant bought 60 sheep at Rs. 120 per sheep. He sold 40 of them at Rs. 150 each. Another 10 of the sheep died. What should be the selling price of the remaining sheep, if he wants a total profit of Rs. 800?
Rs. 150
Rs. 180
Rs. 250
Rs. 200
Correct answer
Rs. 150
The following table shows the number of cars of 6 different brands on the roads during a given year.
| Brand | Cars |
|---|---|
| B1 | 2000 |
| B2 | 2200 |
| B3 | 2700 |
| B4 | 1800 |
| B5 | 1300 |
| B6 | 3000 |
The cars of brand B2 are what percentage of the number of cars of all the 6 given brands taken together? [Give your answer correct to 2 decimal places.]
11.43%
16.92%
19.81%
13.85%
Correct answer
11.43%
What distance will be covered by a car moving at 72 km/h in 10 seconds?
200 m
50 m
20 m
100 m
Correct answer
200 m
The volume of a right circular cone is 196π cm3. If the area of its base is 154 cm2, what is the vertical height of the cone? [Use π = \(\frac{22}{7}\)]
10 cm
12 cm
14 cm
16 cm
Correct answer
10 cm
If 90 is increased by x%, then it becomes 117. What is the value of x?
20
30
15
25
Correct answer
20
The area of a circle is 15400 cm2. What is the positive difference between the radius and the circumference of the circle? [Use π = \(\frac{22}{7}\)]
410 cm
370 cm
330 cm
420 cm
Correct answer
410 cm
In a class of 50 students and 6 teachers, each student got a number of chocolates that is equal to 16% of the total number of students, and each teacher got a number of chocolates that is equal to 12% of the total number of students. How many chocolates were there in total?
436
420
360
450
Correct answer
436
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.