Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In a college election between two rivals, a candidate got 30% of the total votes polled. He was defeated by his rival by 200 votes. The total number of votes polled was:
500
300
400
600
Correct answer
500
An iron costing ₹758 was sold by Ramesh at a gain of 15%, and it was again sold by Reena, who bought it from Ramesh, at a loss of 8%. Find the selling price of the iron for Reena (correct to two places of decimals).
₹810.96
₹808.69
₹820.69
₹801.96
Correct answer
₹810.96
Rameshwar sold a bike at a loss of 15%. If the selling price had been increased by ₹3,375, there would have been a gain of 12%. Find the cost price of the bike.
₹25,100
₹25,200
₹12,500
₹15,200
Correct answer
₹25,100
In an educational institution, the ratio of the numbers of students in middle school and in high school, respectively, in a given year was given as 4 : 3. If there were 324 students in middle school in that year in that institution, what was the number of students in high school in the same year in that institution?
243
240
249
246
Correct answer
243
Rohan buys a bike priced at ₹95,000. He pays ₹25,000 at once and the rest after 18 months, on which he is charged a simple interest at the rate of 10% per annum. The total amount (in ₹) he pays for the bike is:
1,23,200
1,02,320
1,03,500
1,05,500
Correct answer
1,23,200
The perimeter of one face of a cube is 40 cm. Its volume will be:
10 cm3
100 cm3
1000 cm3
10000 cm3
Correct answer
10 cm3
A and B complete a work in 12 and 15 days, respectively. They started the work alternatively for 1 day each and A started the work first. In how much time will 60% of the work be completed?
9 days
10 days
7 days
8 days
Correct answer
9 days
Find the amount of equal annual instalment, which will discharge a debt of Rs.40,376 due in 4 years at the rate of 2% p.a. simple interest.
Rs.9,800
Rs.8,758
Rs.10,250
Rs.8,600
Correct answer
Rs.9,800
The number 10000 is exactly divisible by which of the following numbers?
18
17
25
14
Correct answer
18
A bank gives ₹1,500 as simple interest in one year on an amount of ₹60,000. What is the annual rate of simple interest (in percentage)?
3.5
3
2.5
5.5
Correct answer
3.5
If the length of each of the two equal sides of an isosceles triangle is 15 cm and the adjacent angle is 30°, then the area of the triangle is:
66.25 cm2
36.25 cm2
56.25 cm2
26.25 cm2
Correct answer
66.25 cm2
A man walks 3 km and 200 metres in 25 minutes. What is his speed (in km/h)?
7.86
7.68
8.76
6.87
Correct answer
7.86
If 28 men can do a piece of work in 26 days, then in how many days 13 men will do it?
52
56
50
58
Correct answer
52
In a circular path of 619 m, Preeti and Rani start walking in opposite directions from the same point at the speed of 2.85 km/h and 5.4 km/h, respectively. When they will meet for the first time approximately?
After 4.75 minutes
After 6.05 minutes
After 4.50 minutes
After 6.75 minutes
Correct answer
After 4.75 minutes
The marked price of a fancy toy is ₹30,000. It is to be sold allowing two successive discounts of 20% and 24%, respectively. On cash payment, an additional 10% discount on the net price is also given. The selling price (in ₹) of the toy is:
16416
16520
17280
18350
Correct answer
16416
Find the average of all prime numbers between 42 and 75.
57.65
59.25
55.75
60.25
Correct answer
57.65
Find the average of 642, 253, 834 and 303.
508
509
512
452
Correct answer
508
The price of a trouser is first decreased by 12% and then increased by 15%. If the initial price of the trouser was ₹1,500, find the final price (in ₹) of the trouser.
1,518
1,581
1,545
1,554
Correct answer
1,518
In a Panchayat election, three contestants - A, B, and C - are contesting. 75% of the total population of 8000 cast their votes. There were no invalid or NOTA votes in the election. A got the least votes, with only 300 votes. B got 66% of the total votes and won the election. How many votes did B get?
5280
3660
4060
3960
Correct answer
5280
The lateral surface area of a cone is 550cm2 . If the diameter of the cone is 14cm, then the height of the cone is:
24 cm
12.5 cm
12 cm
25 cm
Correct answer
24 cm
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.