Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
How many years will it take for an investment of ₹5,000 to earn ₹1,000 as simple interest at an annual rate of 8%?
3.5
5.9
6.7
2.5
Correct answer
3.5
If the simple interest on ₹4,000 for 2 years is ₹480, what is the rate of interest ?
5%
6%
7%
8%
Correct answer
5%
A regular hexagon has a side length of 6 cm. What is its perimeter?Â
30 cmÂ
36.cmÂ
42 cm
48 cmÂ
Correct answer
30 cmÂ
What is the number of sides of a regular polygon if the sum of its interior angles is 1,260 degrees?
9
8
10
12
Correct answer
9
A right prism is cut vertically into two equal halves. then the volume of one part will be?
doubled
half
Exactly same
Decreases by 25%
Correct answer
doubled
Which of the following statements is always true for any right prism?
All faces are congruent
The base is always a square
The two bases are parallel and congruent
All lateral faces are circular
Correct answer
All faces are congruent
How many diagonals does a regular nonagon have?
21
27
24
30
Correct answer
21
What is the slant height of a cone,base has a radius of 7 cm and a vertical height of 24 cm?Â
25 cm
26 cmÂ
28 cmÂ
30 cmÂ
Correct answer
25 cm
If the height of a cone is doubled while keeping the radius the same, how does the volume change?
Doubles
Triples
Stays the same
Becomes half
Correct answer
Doubles
A spherical balloon is inflated so that its radius increases from 5 cm to 10 cm. By what factor does its surface area increase?Â
2
4
6
8
Correct answer
2
A company manufactures hollow spherical basketballs with an internal radius of 12 cm. If the thickness of the rubber is 0.5 cm. what is the volume of rubber used in making one basketball? (Use π=22/7)
843.2 cm3
943.38Â cm3
1043.5Â cm3
1143.2Â cm3
Correct answer
843.2 cm3
A bowl is in the shape of a hemisphere with radius 7 cm What is its total surface area? (Ï€=3.14)
461.58 cm2
550Â cm2
573.76Â cm2
700Â cm2
Correct answer
461.58 cm2
A square and a rectangle have the same perimeter. Which one has a larger area?
Square
Rectangle
Both are equal
Depends on dimensions.
Correct answer
Square
The area of a trapezium with bases 10 cm, 6 cm, and height 4 cm is:
28 cm2
30 cm2
32 cm2
34 cm2
Correct answer
28 cm2
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
30%
50%
20%
40%
Correct answer
30%
Two rectangles have the same area. The first has sides 20 cm and 12 cm. The second has one side 15 cm. What is the other side of the second rectangle?
14 cm
15.cmÂ
16 cmÂ
18 cm
Correct answer
14 cm
In a school, 75% of students passed in English and 55% of students passed in Hindi. If every student passed in either English or Hindi or both subjects, and 1,560 students passed in both subjects, how many students are there in the class?
5200
7500
7200
3300
Correct answer
5200
A man sells two articles for ₹4000 each On one, he gains 25%, and on the other, he loses 25% What is his net gain or loss percentage in the entire transaction?
6.25% gain
6.25% lossÂ
No gain, no loss
5% loss
Correct answer
6.25% gain
12 men can finish a work in 15 days. After working for 5 days, 4 men leave. How many more days will the remaining men take to finish the work ?
12.5 days
10 days
15 days
14 daysÂ
Correct answer
12.5 days
If a bus travels 180 km in 3 hours, how much distance will it cover in 5 hours at the same speed?
250km
280 km
300 kmÂ
320 kmÂ
Correct answer
250km
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.