Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The percentage distribution of Anil’s expenditures is presented in the given pie chart.
If Anil’s monthly expenditure is Rs. 65,000, how much money does he spend on Food and Rent?
Rs. 24,050
Rs. 25,040
Rs. 24,500
Rs. 25,400
Correct answer
Rs. 24,050
If Ram’s income exceeds Shyam’s income by 70% and Shyam’s income is less than Sohan’s income by 30%, then find the ratio of the incomes of Ram and Sohan.
119 ∶ 100
121 ∶ 102
120 ∶ 101
118 ∶ 99
Correct answer
119 ∶ 100
If x + y = 10, 2xy = 48 and x > y, then find 2x - y
6
8
4
3
Correct answer
6
Find the effective discount for the scheme – Buy 5 get 3 free.
36.5%
37.5%
36%
37%
Correct answer
36.5%
A man bought two bicycles for ₹3,000 each. If he sells one bicycle at a profit of 10%, then for how much percentage profit should he sell the other bicycle so that he makes a profit of 20% on the whole?
15 Percent
25 Percent
30 Percent
10 Percent
Correct answer
15 Percent
A car travels with a speed of 21 m/sec in the first 10 minutes, 9.0 km in the next 10 minutes and 10 km in the last 10 minutes of its journey. What is the average speed of the car in km/h during its entire journey?
60.0 km/h
63.2 km/h
62.0 km/h
65.3 km/h
Correct answer
60.0 km/h
The following table shows different types of geysers sold by a company over 6 years (numbers in thousands)
| Year | Types | ||||
|---|---|---|---|---|---|
| A | B | C | D | E | |
| 2007 | 75 | 122 | 103 | 98 | 95 |
| 2008 | 100 | 102 | 103 | 112 | 102 |
| 2009 | 105 | 108 | 112 | 109 | 108 |
| 2010 | 100 | 189 | 123 | 102 | 122 |
| 2011 | 95 | 123 | 102 | 124 | 124 |
| 2012 | 85 | 145 | 134 | 134 | 145 |
Answer the following question based on the table:
The total sales of all the six years are the minimum for which geyser?
D
A
C
B
Correct answer
D
What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?
50 feet
70 feet
30 feet
20 feet
Correct answer
50 feet
The volume of a wall is 23958 cm3 and its height is six times its width and its length is half the height. What is the width of the wall?
21 cm
15 cm
11 cm
18 cm
Correct answer
21 cm
Number of books issued by a library for 6 months has been represented in the following bar graph.
In which month the maximum number of books were issued?
Jan
April
May
February
Correct answer
Jan
In an election, a candidate secures 42% of the votes polled but is defeated by his only opponent by a majority of 3080 votes, because of 1400 invalid votes. The percentage of invalid votes is _______.
5%
3%
4%
6%
Correct answer
5%
The sides of a triangular field are 62 m, 186 m and 279 m. Find the greatest length of tape that would be able to exactly measure each of them without any fractions.
62 m
93 m
31 m
30 m
Correct answer
62 m
Aarush and Maahi together can do a piece of work in 10 days. If Aarush alone can do the same work in 15 days, then how many days Maahi alone will take to do the same work?
25
15
30
20
Correct answer
25
Study the above table and answer the question.
| School | Number of students scoring marks less than 50% | Percentage of students scoring marks more than 50% | Number of students appeared |
|---|---|---|---|
| A | 270 | 55 | 600 |
| B | 120 | 40 | 400 |
| C | 300 | 20 | 375 |
| D | 220 | 10 | 350 |
| E | 200 | 25 | 300 |
The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is:
111 ∶ 12
111 ∶ 24
101 ∶ 24
101 ∶ 12
Correct answer
111 ∶ 12
A car covered the first 100 km at a speed of 50 km/h. It covered next 140 km at a speed of 70 km/h. What is its average speed?
60 km/ h
62 km/h
58 km/h
64 km/h
Correct answer
60 km/ h
What are the values of x and y, respectively, from the following equations?
6x + 7y = 5xy
10y – 4x = 4xy
3 and 4
4 and 5
2 and 4
2 and 5
Correct answer
3 and 4
What is the total surface area of a cuboid whose length, breadth and height are 7 cm, 5 cm and 9 cm, respectively?
190 cm2
403 cm2
286 cm2
386 cm2
Correct answer
190 cm2
In a showroom the price of a washing machine is ₹65,000. The customer gets cash discount of ₹2,000, and gets a scratch card promising percentage discount of 10% to 15%. Determine the difference between the least and the maximum selling prices of the washing machine.
Rs. 3,150
Rs. 3,570
Rs. 3,200
Rs. 3,650
Correct answer
Rs. 3,150
A man borrowed Rs. 50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs. 15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such instalments?
Rs. 16,900
Rs. 15,800
Rs. 15,200
Rs. 16,200
Correct answer
Rs. 16,900
AB is a common tangent to both the circles in the given figure. Find the distance (correct to two decimal places) between the centres of the two circles.
18.98 units
23.58 units
26.59 units
21.62 units
Correct answer
18.98 units
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.