Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A solution contains 30% of substance S and 70% of substance T by weight. If the solution has a total mass of 1200 grams, and 300 grams of substance S are added to it, what is the new percentage concentration of substance S in the solution?
40%
44%
33%
45%
Correct answer
40%
A retailer bought a dozen shirts for ₹3600. He sold each shirt at ₹350. What is his total profit or loss percentage?
15% profit
16.67% profit
10% loss
12% profit
Correct answer
15% profit
A T-shirt is on sale for 15% off its original price of Rs 60. How much will you pay for the T-shirt?
78
68
60
51
Correct answer
78
A vendor bought 100 oranges at ₹8 each. He sold 80 of them at ₹10 each and the remaining 20 oranges at ₹6 each. What is his overall profit or loss percentage?
12.5% profit
10% profit
10% loss
15% profit
Correct answer
12.5% profit
A TV set marked at ₹18,000 is sold for ₹15,300. Find the discount percentage.
10%
12.5%
15%
17%
Correct answer
10%
A is twice as efficient as B. Together, they can complete a task in 12 days. How many days will A alone take to complete the task?
16 days
18 days
24 days
20 days
Correct answer
16 days
A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion.
Total work is completed in 18 days. How many days did A work?
13 days
14 days
15 days
16.5 days
Correct answer
13 days
If 15, 25, x are in proportion. Find the value of x.
120/3
125/3
145/3
120/4
Correct answer
120/3
A train 240 meters long passes a pole in 24 seconds. How long will it take to pass a platform 360 meters long?
36 seconds
40 seconds
48 seconds
60 seconds
Correct answer
36 seconds
Ravi lent ₹12,000 to his friend at a simple interest rate of 8% per annum. After how many years will the total amount become ₹16,800?
4 years
5 years
6 years
8 years
Correct answer
4 years
The radius of a circular track is 70 meters. If a cyclist completes 5 rounds, what distance does the cyclist cover?
440 m
880 m
2200 m
4400 m
Correct answer
440 m
On a certain assembly line the rejection rate for hyundai i10's production was 4 percent for hyundai i20's production 8 percent and the two cars combined 7 percent . What was the ratio of hyundai i20's production to hyundai i10's production?
5:6
2:3
6:2
3:1
Correct answer
5:6
Two trains are moving in opposite directions at 60 km/h and 90 km/h. Their lengths are 1.2 km and 0.8 km respectively. In how much time will they cross each other?
48 seconds
50 seconds
60 seconds
72 seconds
Correct answer
48 seconds
If the volume of a cone is 48 π cm3 and the height is 10 cm. Find the radius of its base in nearest one decimal place.
2.8 cm
3.8 cm
4.8 cm
1.8 cm
Correct answer
2.8 cm
In a triangle, if one exterior angle is 120°, and the opposite interior angle is 40°, what is the other interior angle adjacent to it?
40°
60°
80°
100°
Correct answer
40°
The smallest set of, sum of three consecutive natural numbers is equal to the sum of two whole numbers, and one of the whole numbers is 0. Which of the following sets represents the three natural number?
4, 5, 6
0, 6, 7
1, 2, 3
2, 3, 5
Correct answer
4, 5, 6
Find the total surface area of a cube, the length of whose diagonal is \(\sqrt{108}\) cm.
252 cm2
280 cm2
140 cm2
216 cm2
Correct answer
252 cm2
A bottle is made by attaching a hemisphere to a cylinder of the same radius. Radius = 3.5 cm, height of cylinder = 10 cm.
Find the total surface area of the bottle.
315.5Â \(cm^2\)
335.5Â \(cm^2\)
296Â \(cm^2\)
308.5Â \(cm^2\)
Correct answer
315.5Â \(cm^2\)
The set of whole numbers consists of all natural numbers along with which additional number?
negative integers
fractions
zero
irrational numbers
Correct answer
negative integers
What is the decimal form of 7/8?
0.875
0.78
0.7
0.805
Correct answer
0.875
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.