Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Two students scored 10 and 20 marks in a quiz, giving an average of 15. If a third student scores 30, what will be the new average score of all three students?
18
19
20
21
Correct answer
18
The cost of fencing a circular garden at Rs 5 per m is Rs 220. What is the radius of the garden?
(\( \pi = 22/7 \))
14 m
16 m
7 m
10 m
Correct answer
14 m
If a circular pond has a circumference of 31.4 m, its radius is:
(\( \pi = 3.14 \))
10 m
5 m
7 m
15 m
Correct answer
10 m
An article is marked at ₹600.
A discount of ₹120 is given. What is the discount percentage?
15%
18%
20%
25%
Correct answer
15%
A circular ring is formed between two concentric circles of radii 14 cm and 7 cm.
Find the area of the ring.
(\( \pi = 22/7 \))
462 \( \text{cm}^2 \)
440 \( \text{cm}^2 \)
330 \( \text{cm}^2 \)
385 \( \text{cm}^2 \)
Correct answer
462 \( \text{cm}^2 \)
A man walks at 4 km/h.
How long will it take him to cover 10 km?
2 hrs
2.25 hrs
3 hrs
2.5 hrs
Correct answer
2 hrs
Out of 100 items, 25 are defective. What percentage is defective?
\( 20% \)
\( 22% \)
\( 30% \)
\( 25% \)
Correct answer
\( 20% \)
A shopkeeper bought an item for \( ₹960 \) and sold it at a \( 25% \) profit. What was the selling price?
\( ₹1150 \)
\( ₹1170 \)
\( ₹1180 \)
\( ₹1200 \)
Correct answer
\( ₹1150 \)
A trader sold goods for \( ₹1250 \) at a profit of \( 25% \). What was the cost price?
\( ₹950 \)
\( ₹1000 \)
\( ₹1050 \)
\( ₹1100 \)
Correct answer
\( ₹950 \)
A borrower paid \( ₹180 \) as simple interest on a loan of \( ₹1200 \) over 3 years. What was the annual rate of interest?
\( 4% \)
\( 5% \)
\( 6% \)
\( 7% \)
Correct answer
\( 4% \)
A bike covers 150 m in 10 seconds. What is its speed in km/h?
50
52
55
54
Correct answer
50
Rahul alternates between walking and cycling. He walks 1 km in 10 minutes and cycles 1 km in 5 minutes. If he cycles half of a 12 km trip and walks the other half, how long will the trip take?
80 min
84 min
86 min
90 min
Correct answer
80 min
Which of the following numbers is the smallest?
0.805
\( \frac{17}{20} \)
\( \frac{4}{5} \)
\( 0.\bar{8} \)
Correct answer
0.805
If \( \frac{0.707}{49.0} = a \), then the value of \( \frac{7.07}{0.49} \) is:
\( \frac{a}{100} \)
\( 1000a \)
\( \frac{a}{10} \)
\( 10a \)
Correct answer
\( \frac{a}{100} \)
If \( a \) is added to each of 4, 7, 10 and 16, the numbers so obtained are in proportion. What is the mean proportional between \( (a - 1) \) and \( (5a + 6) \)?
5
6
4
7
Correct answer
5
A person's average daily expense over \( 5 \) days is \( ₹200 \).
If the total expense for the first \( 4 \) days is \( ₹700 \), what was the expense on the \( 5^{th} \) day?
\( ₹300 \)
\( ₹250 \)
\( ₹200 \)
\( ₹350 \)
Correct answer
\( ₹300 \)
If the radius of a circle is doubled, its area becomes:
2 times
4 times
3 times
8 times
Correct answer
2 times
The area of a circle is \( 616 \text{ cm}^2 \).
Find its radius.
(\( \pi=22/7 \))
7 cm
14 cm
28 cm
21 cm
Correct answer
7 cm
An article is marked at \( ₹200 \) and sold after successive discounts of \( 20% \) and \( 20% \). What is the final selling price?
₹130
₹128
₹135
₹140
Correct answer
₹130
The radius of a circle is increased by \( 20% \).
Find the percentage increase in area.
40%
44%
20%
24%
Correct answer
40%
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.