Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A train covers 100 km in 2 hours and 30 minutes. What is its speed in km/h?
35 km/h
38 km/h
42 km/h
40 km/h
Correct answer
35 km/h
A runner completes 100 m in 20 seconds. What is his speed in km/h?
16.2
18
19.2
20
Correct answer
16.2
The price of a cycle falls from ₹3000 to ₹2700. What is the percentage decrease?
8%
10%
9%
12%
Correct answer
8%
The value of an item falls from \( ₹8000 \) to \( ₹7200 \). What is the percentage decrease?
8%
9%
10%
12%
Correct answer
8%
A trader sells an item at a 25% loss. If he had sold it for \( ₹60 \) more, he would have made a 10% profit. Find the cost price.
≈ \( ₹211.4 \)
≈ \( ₹221.4 \)
≈ \( ₹171.4 \)
≈ \( ₹181.4 \)
Correct answer
≈ \( ₹211.4 \)
The monthly incomes of A and B are in the ratio 5:4, and their expenditures are in the ratio 3:2. If both save \( ₹500 \) each, what is A's income?
\( ₹2500 \)
\( ₹1250 \)
\( ₹3000 \)
\( ₹4250 \)
Correct answer
\( ₹2500 \)
A student borrows \( ₹400 \) from a lending club at 9% simple interest per annum. What interest does he need to pay in 1 year?
\( ₹34 \)
\( ₹36 \)
\( ₹35 \)
\( ₹38 \)
Correct answer
\( ₹34 \)
Two bikers start from points 180 km apart and ride towards each other at 20 km/h and 25 km/h, respectively. After how much time will they meet?
3 hr
3.5 hr
4 hr
4.5 hr
Correct answer
3 hr
A wire is bent in the form of a square enclosing an area of \( 121 \text{ cm}^{2} \). If the same wire is bent in the form of a circle, what is the approximate area enclosed by the circle? (Use \( \pi = \frac{22}{7} \)).
\( 154 \text{ cm}^{2} \)
\( 105 \text{ cm}^{2} \)
\( 149 \text{ cm}^{2} \)
\( 267 \text{ cm}^{2} \)
Correct answer
\( 154 \text{ cm}^{2} \)
Find the number formed by the digits 6, 0, 3, 5, 9 that results in the greatest difference between its largest digit's place value and its smallest digit's place value.
90,356
69,530
96,530
30,569
Correct answer
90,356
The average age of a father and his son is 30 years.
If the father is 50 years old, how old is the son?
8
9
10
11
Correct answer
8
An article has a marked price of ₹1000.
If sold at a 10% discount, what is the selling price?
₹800
₹850
₹900
₹950
Correct answer
₹800
The length of the diameter of a circular track is 28 m.
What is its area?
(\( \pi=22/7 \))
154 मीटर\( ^{2} \)
616 मीटर\( ^{2} \)
308 मीटर\( ^{2} \)
44 मीटर\( ^{2} \)
Correct answer
154 मीटर\( ^{2} \)
An item is marked at \( ₹2000 \). To sell it for \( ₹1500 \), what discount percentage must be given?
\( 20% \)
\( 22% \)
\( 24% \)
\( 25% \)
Correct answer
\( 20% \)
A car travels \( 120 \text{ km} \) at \( 30 \text{ km/h} \). How long will it take?
\( 2 \text{ hrs} \)
\( 3 \text{ hrs} \)
\( 5 \text{ hrs} \)
\( 4 \text{ hrs} \)
Correct answer
\( 2 \text{ hrs} \)
A man rows a boat \( 20 \text{ km} \) downstream in \( 2 \) hours and returns upstream in \( 4 \) hours. Determine the speed of the boat in still water.
\( 6.5 \text{ km/h} \)
\( 7.5 \text{ km/h} \)
\( 8.5 \text{ km/h} \)
\( 9.5 \text{ km/h} \)
Correct answer
\( 6.5 \text{ km/h} \)
A student scores \( 300 \) marks, which is \( 60% \) of the total. What are the maximum marks?
400
500
450
550
Correct answer
400
A table was purchased for \( \text{₹}850 \) and sold at a \( 5% \) loss. What was the selling price?
≈ \( \text{₹}808 \)
≈ \( \text{₹}805 \)
≈ \( \text{₹}800 \)
≈ \( \text{₹}815 \)
Correct answer
≈ \( \text{₹}808 \)
The monthly salaries of A and B are in the ratio \( 4:5 \), and their monthly expenses are in the ratio \( 3:4 \). If both save \( \text{₹}2000 \) each month, what is A's monthly salary?
\( \text{₹}6300 \)
\( \text{₹}7200 \)
\( \text{₹}8000 \)
\( \text{₹}9000 \)
Correct answer
\( \text{₹}6300 \)
A student rides a bicycle to his coaching class, covering \( 15 \text{ km} \) in \( 3 \) hours. What is his speed?
3 km/h
4 km/h
6 km/h
5 km/h
Correct answer
3 km/h
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.