Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In a classroom test, students were awarded +6 marks for each correct answer and -3 marks for each incorrect answer.
No marks were given for unattempted questions.
Radhika answered 10 questions correctly and scored a total of 42 marks. How many questions did she answer incorrectly?
2
3
4
6
Correct answer
2
Find the length of the longest pole that can be placed in a cubical room of edge 27 cm.
\( 18\sqrt{2} \) cm
\( 27\sqrt{2} \) cm
\( 27\sqrt{3} \) cm
\( 18\sqrt{3} \) cm
Correct answer
\( 18\sqrt{2} \) cm
A hollow hemisphere has an inner radius of 5 cm and an outer radius of 7 cm. Find its total surface area.
456.25Â \(cm^2\)
540.57Â \(cm^2\)
623.56Â \(cm^2\)
511.38Â \(cm^2\)
Correct answer
456.25Â \(cm^2\)
What does each point on a number line represent?
Natural number
Integer
Rational number
Real number
Correct answer
Natural number
Find the square of 19.
324
361
362
225
Correct answer
324
Which of the following is the CORRECT comparison?
3/4 > 0.85
0.5 < 1/3
5/6 > 0.8
0.25 > 1/2
Correct answer
3/4 > 0.85
The average weight of 10 parcels is 1.5 kg. If a parcel weighing 2.5 kg is replaced by a new parcel, the average weight becomes 1.6 kg. What is the weight of the new parcel?
3.5 kg
2.5 kg
2.4 kg
2.3 kg
Correct answer
3.5 kg
A cricketer has an average of 30 runs in 9 innings. In the 10th inning, he scores some runs, and his average increases to 31 runs.
How many runs did he score in the 10th inning?
25
30
35
40
Correct answer
25
A student got 30% marks and failed by 13 marks and another student got 44% marks and gets 15 more than the passing marks. Find the maximum mark in a certain examination?
300
200
150
250
Correct answer
300
A student scored 14.75 out of 20 in Science and 17 1/2 out of 25 in Maths. In which subject did she score better percentage-wise?
Science
Maths
Both equal
Can't determine
Correct answer
Science
A seller buys 240 Television. He sells some of them at a gain of 20% and the remaining at a gain of 30%. If he gains 28% on the whole, then how many did he sell at a gain of 20%?
48
36
43
50
Correct answer
48
If 20% of x = y, then y% of 20 is the same as:
5% of x
4% of x
10% of x
7% of x
Correct answer
5% of x
An article is sold at a 20% loss. If the selling price was ₹400 more, there would have been a 5% gain. What is the cost price of the article?
₹1500
₹1600
₹1800
₹2000
Correct answer
₹1500
A wholesaler offers a 25% discount on purchases of ₹10000 or more. A customer buys goods worth ₹15000.
If he also gets an additional 5% discount for paying cash, how much does he pay?
₹10500
₹11250
₹10687.50
₹10750
Correct answer
₹10500
A watch was sold for ₹2040 after giving a discount of 15% on the marked price. What was the marked price?
₹2400
₹2200
₹2500
₹2300
Correct answer
₹2400
8 men can complete a work in 12 days. How many men are required to complete the same work in 6 days?
18
14
16
24
Correct answer
18
A and B can do a piece of work in 18 days. They worked together for 12 days and then B left. A finished the remaining work in 10 days. In how many days can A alone complete the work?
30 days
24 days
36 days
40 days
Correct answer
30 days
If a sum doubles itself in 8 years at simple interest, what is the rate of interest per annum?
12.5%
15%
10%
25%
Correct answer
12.5%
If 5 eraser cost is Rs. 10. How much will 13 erasers cost?
28
13
26
30
Correct answer
28
A sum of Rs. 427 is to be divided among X, Y and Z such that 3 times X's share, 4 times Y's share and 7 times Z's share are all equal.
The share of Z is:
Rs. 84
Rs. 90
Rs. 85
Rs. 94
Correct answer
Rs. 84
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.