Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A does a work in 10 days and B does the same work in 15 days. How much part of the work is completed in 2 days if they work together?
1/2
1/4
1/3
3/7
Correct answer
1/2
A can do a task in 18 days, and B in 9 days. After working together for 4 days, A leaves. How many more days will B take to complete the remaining work?
6 days
5 days
4 days
3 days
Correct answer
6 days
A train covers 180 km in 3 hours. How long will it take to cover 240 km at the same speed?
4 hours
3.5 hours
5 hours
4.5 hours
Correct answer
4 hours
A train running at 72 km/h crosses a platform in 25 seconds. If the platform is 300 m long, what is the length of the train?
200 m
180 m
150 m
220 m
Correct answer
200 m
A sum of ₹2,500 becomes ₹3,000 in 4 years at simple interest. What is the rate of interest?
5%
6%
4%
8%
Correct answer
5%
A triangle has angles 60°, 60°, and 60°. It is a/an ___.
Isosceles
Right-angled
Equilateral
Scalene
Correct answer
Isosceles
Which of the following terms describes the common point of a tangent to a circle and the circle itself?
Center
Radius
Point of tangency
Diameter
Correct answer
Center
A cone has a base radius of 6 cm and height of 8 cm. Find its volume (Take \(\pi = 3.14\)).
200.96 cm3
301.44 cm3
452.16 cm3
500.32 cm3
Correct answer
200.96 cm3
A solid hemisphere is melted and reshaped into a sphere of the same radius. How does the volume change?
Becomes half
Becomes double
Remains same
Becomes four times
Correct answer
Becomes half
A box has dimensions 10 cm × 8 cm × 5 cm. What is its volume?
300 cm3
400 cm3
500 cm3
600 cm3
Correct answer
300 cm3
What is the value of \( (6\sqrt{12})/(3\sqrt{2}) \)?
\( \sqrt{6} \)
\( 6\sqrt{2} \)
\( 2\sqrt{6} \)
\( 3\sqrt{6} \)
Correct answer
\( \sqrt{6} \)
Which of the following is true?
All whole numbers are rational.
All rational numbers are integers.
All integers are irrational.
No real number is rational.
Correct answer
All whole numbers are rational.
Identify the correct decimal equivalent of 147/8.
18.375
0.875
0.7
1.125
Correct answer
18.375
A fruit seller sells 2(1/2) kg of mangoes at ₹120/kg and 1.75 kg of apples at ₹150/kg. What is the total cost of the fruits?
₹510.00
₹562.50
₹525.00
₹540.00
Correct answer
₹510.00
What is the square of 71?
4909
5025
5122
5041
Correct answer
4909
Venus and Neptune take 8 hours 20 minutes and 10 hours 30 minutes respectively to complete one rotation. What is the ratio of their rotation times in the lowest form?
10 : 13
50 : 63
25 : 30
45 : 56
Correct answer
10 : 13
In 4 hours, a car completes a journey of 240 km. If its speed is increased by 25%, how much time will it take to cover 300 km?
4 hours
3.5 hours
3.2 hours
3 hours
Correct answer
4 hours
A student scores 80%, 75%, and 85% in three subjects. What is the average percentage?
67.5%
65%
80%
70%
Correct answer
67.5%
Find the average of the first n odd natural numbers.
n
2n
n/2
3n + 1
Correct answer
n
25% of a number is 60. What is the number?
180
200
240
260
Correct answer
180
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.