Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The present population of a city is 12000. The population is increased by 10% in first year, and it is decreased by 20% in next year, and third year 15% of the people is increased. What will be the population after 3 years?
15115
13144
12144
12114
Correct answer
15115
Find the square root of 64009.
254
253
255
300
Correct answer
254
A person bought an article at a discount of 30% and sold it at 10% above the marked price. What is the profit percentage?
40%
50%
57.14%
60%
Correct answer
40%
The cost price of an article is 80% of its selling price. What is the profit or the loss as percent?
50%
33%
25%
40%
Correct answer
50%
15 men can complete a work in 12 days. After working for 6 days, 5 more men join them.
In how many days will the remaining work be completed?
4 days
5 days
4.5 days
3 days
Correct answer
4 days
A man walks at 4 km/h. After 6 hours, he is overtaken by a cyclist who started 2 hours after him. What is the speed of the cyclist?
7 km/h
5 km/h
6 km/h
8 km/h
Correct answer
7 km/h
If the ratio is 4:10 = x:20 . Then find the x.
7
6
10
8
Correct answer
7
A person lends ₹20,000 at 12% simple interest per annum. What will be the interest earned in 2.5 years?
₹5,000
₹6,000
₹5,500
₹6,500
Correct answer
₹5,000
Shivangi bought two varieties of pulses, costing Rs. 50 per kg and Rs. 60 per kg each, and mixed them in some ratio. Then she sold the mixture at Rs. 70 per kg. Making a profit of 20 percent. What was the ratio of the mixture?
1:6
2:3
2:5
1:5
Correct answer
1:6
If the volume of a right circular cone is 616 cm3 and height is 12 cm, what is the radius of the base?
4 cm
5 cm
6 cm
7 cm
Correct answer
4 cm
The temperature in a city at 6:00 AM was -4°C. During the day, the temperature rose steadily by a certain number of degrees. By 3:00 PM, the temperature reached +9°C. What was the total rise in temperature during that time?
13°C
5°C
9°C
15°C
Correct answer
13°C
From a cuboid of dimension 10 cm x 5 cm x 2.5 cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?
5
8
4
7
Correct answer
5
The total surface area of a hemisphere is 4,158 m2. If the radius of the hemisphere becomes one-third of itself, then what will be the new curved surface area of the hemisphere? (Use π = 22/7)
308 m2
462 m2
342 m2
224 m2
Correct answer
308 m2
What type of number is the sum of \(\sqrt{2}\) and \((3 - \sqrt{2})\)?
an irrational number
a rational number
neither rational nor irrational
cannot be determined
Correct answer
an irrational number
Find the square root of 0.000324.
.18
.17
.016
.018
Correct answer
.18
What is the reciprocal of 2/3?
3/2
2/3
1/2
5/2
Correct answer
3/2
The average of three numbers A, B, and C is 48. The average of A and B is 45. The average of B and C is 49. What is the value of B?
42
44
46
48
Correct answer
42
In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes.
If the remaining 15000 votes were invalid, find the total number of votes polled.
60000
50000
40000
75000
Correct answer
60000
Which of the following decimals has the longest repeating cycle?
1/6
1/7
1/9
1/11
Correct answer
1/6
The average age of 5 members of a family is 20 years. If a new member joins the family, the average age becomes 18 years. What is the age of the new member?
10 years
12 years
8 years
15 years
Correct answer
10 years
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.