Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
8 men can make 12 chairs in 12 days if they work for 6 hours a day. If 9 chairs are to be make by 12 men in 6 days, then how many hours a day does each one of them need to work?
7.5 hours
6 hours
5.5 hours
7 hours
Correct answer
7.5 hours
What will be the compound interest on a sum of ₹4,50,000 at the rate of 10% per annum in 2 years, if interest is compounded annually?
₹50,500
₹94,500
₹54,450
₹85,450
Correct answer
₹50,500
The total surface area of a closed hemisphere is 16632 cm2. What is the sum of the radius and the diameter of this hemisphere? [Use π = \(\frac{{22}}{7}\)]
172 cm
168 cm
126 cm
154 cm
Correct answer
172 cm
In university exams where the total maximum marks were 500, Mohit gets 20% more than Surendra, Surendra gets 20% more than Lalit, and Lalit gets 15% less than Darshan. If Mohit gets 366 marks, what percentage of the full marks does Darshan get? [Give your answer correct to 2 decimal places.]
82.50%
59.80%
58.02%
80.50%
Correct answer
82.50%
A 36 cm long, 22 cm broad, and 49 cm high cuboid is melted and moulded into a solid sphere. What will be the radius of this sphere? [Use π = \(\frac{{22}}{7}\)]
21 cm
7 cm
49 cm
22 cm
Correct answer
21 cm
Rahul and Shyam, working together, can do a piece of work in 5 hours; Rahul alone can do the same work in 15 hours. How much time will Shyam alone take to do that work?
12 hours
8.5 hours
7.5 hours
15 hours
Correct answer
12 hours
Abhishek climbs up a hill at a speed of 3 mi/h and comes down at a speed of 5 mi/h. If the total time taken for the two-way journey is 10 hours, then what is the distance between the hilltop and the foothill?
20.75 mi
18.75 mi
11.25 mi
37.5 mi
Correct answer
20.75 mi
What is the value of \(\frac{{17 + 8 \div 4 \times 3}}{{18 + 4 \div 2 \times 5}}\)?
\(\frac{{25}}{{26}}\)
\(\frac{{23}}{{28}}\)
\(\frac{{33}}{{26}}\)
\(\frac{{35}}{{41}}\)
Correct answer
\(\frac{{25}}{{26}}\)
The following bar chart shows the runs scored and the balls played by a batsman in 5 different innings.
\(Strike;rate = ;\frac{{Runs;scored}}{{Balls;played}}; \times 100\)
What is the difference between the strike rates of I2 and I5? [Give your answer correct to 2 decimal places.]
21.21
24.24
33.33
27.27
Correct answer
21.21
\(\frac{1}{2}\) of 4 kg of an alloy is lead and the rest of it is tin. \(\frac{1}{6}\) of 5 kg of another alloy is lead and the rest of it is tin. Find the ratio of lead and tin in the mixture of the given quantities of these two alloys.
4 : 9
2 : 3
17 : 37
13 : 17
Correct answer
4 : 9
Simple interest on a certain sum is \(\frac{{54}}{{75}}\) of the sum. What is the rate of interest per annum if the value of the rate of interest per annum is half the time period (in years) of investment?
6.5%
6%
7.5%
7%
Correct answer
6.5%
The average of 10 numbers is 37. If each number is decreased by 2, what will be the new average?
37
35
39
32
Correct answer
37
The cost price of a watch is ₹2,800. A shopkeeper sells it at a gain of 3.75%. What is the selling price of the watch?
₹2,885
₹2,905
₹2,925
₹2,875
Correct answer
₹2,885
60% of the cost price of a glass is 25% of its selling price. What is the profit percentage?
120%
180%
95%
140%
Correct answer
120%
If A = \(\frac{{4 \div 8 \times 2}}{{3 + 14 \div 7}}\) and B = \(\frac{{6 \div 2 - 4}}{{5 \div 15 \times 6}}\), then what is the value of A - B?
\(\frac{2}{3}\)
\(\frac{4}{5}\)
\(\frac{7}{{10}}\)
\(\frac{1}{2}\)
Correct answer
\(\frac{2}{3}\)
Ram invested 45% of his salary in a scheme for 3 years which offers 10% per annum compound interest, compounded annually. If he receives Rs. 5,958 as total interest, then find Ram's salary?
Rs. 45,000
Rs. 50,000
Rs. 36,000
Rs. 40,000
Correct answer
Rs. 45,000
The length of the longest diagonal that can be placed in a closed cube is \(50\sqrt3\) cm. What is the total surface area of this cube?
15000 cm2
10000 cm2
12000 cm2
6000 cm2
Correct answer
15000 cm2
Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone finish the work?
4 days
6 days
10 days
8 days
Correct answer
4 days
A train P travelling at a speed of 15 m/s is able to cross a platform of 200 meter length completely in 30 seconds. Approximately how long will it take train P to cross a man who is coming towards the train on his bike at a speed of 27 km/h? [
Note:
Ignore the length of the bike.]
15 sec
11.1 sec
16.7 sec
18.3 sec
Correct answer
15 sec
Arpit completes a journey in 10 hours. He covers half of the distance at 30 km/h, and the remaining half of the distance at 70 km/h. What is the length of the journey?
500 km
210 km
320 km
420 km
Correct answer
500 km
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.