Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A can do a piece of work alone in 15 days, while B complete the same piece of work alone in 12 days. If they work on it together for 5 days, then the fraction of the work that will be left is:
\(\frac{3}{4}\)
\(\frac{5}{8}\)
\(\frac{1}{4}\)
\(\frac{5}{7}\)
Correct answer
\(\frac{3}{4}\)
What is the average of 12.5, 18.4, 15.5, 16.6, and 20.4?
15.58
17.50
16.68
18.48
Correct answer
15.58
A sum invested at a certain rate of interest per annum, compounded annually, amounts to Rs. 14,400 in 2 years and to Rs. 25,920 in 4 years. What is the sum invested?
Rs. 8,200
Rs. 7,500
Rs. 8,500
Rs. 8,000
Correct answer
Rs. 8,200
A mobile phone is sold at a profit of 80%. The nominal profit is approximately what percentage of the selling price of the mobile phone?
33.33%
28.56%
44.44%
36.66%
Correct answer
33.33%
Manoj decided to give 25% of his income to his son A and a certain amount to his son B. If he gave Rs. 2,208 to B which is 92% of the decided amount and is Rs. 1,542 less than the amount given to A, then what percent of his total income did Manoj decide to give his son B?
16%
12%
15%
20%
Correct answer
16%
What is the value of \(\frac{{84, \div ,12, \times ,3, - ,4, \div ,12, \times ,9, + ,5, \times ,6, - ,2, \times ,3}}{{8, \div ,12, \times ,3}}\) ?
25
21
24
18
Correct answer
25
The cost price of two fans is the same. One fan is sold at a loss of 20% and the other fan is sold at loss of 60%. What will be the overall loss percentage?
40%
38%
25%
35%
Correct answer
40%
Three numbers are in the ratio of 2 ∶ 3 ∶ 5. The sum of these three numbers is 80. What is the product of these three numbers?
13200
15360
14400
15630
Correct answer
13200
The following pie chart shows the sectors representing the shares of the number of lights manufactured in a given year by each of six different factories in terms of the central angles (in degrees) with respect to the total number of lights manufactured in that year by all the six factories taken together.
If the total number of lights manufactured in that year by the 6 factories taken together is 1840, then what is the difference between the numbers of lights manufactured by F5 and F1?
96
94
90
92
Correct answer
96
What is the greatest number of 4-digits which is divisible by 45, 25 and 5?
9000
9990
8900
9900
Correct answer
9000
The length of a cuboidal room is 56 m, its breadth is 34 m and its height is 8 m. Find the length of the longest ladder that can be placed in the room.
66 m
58 m
42 m
33 m
Correct answer
66 m
The total surface area of a closed hemisphere is 4158 cm2. What is the diameter of the hemisphere? [Use π = \(\frac{{22}}{7}\)]
14 cm
28 cm
42 cm
21 cm
Correct answer
14 cm
What is the rate of compound interest, if the interest on ₹10,000 for 2 years is ₹609, when interest is compounded annually?
3% per annum
4% per annum
2% per annum
5% per annum
Correct answer
3% per annum
The total surface area of a closed cube is 1350 cm2. What is the length of each side of this cube?
21 cm
20 cm
15 cm
18 cm
Correct answer
21 cm
Due to reduction in workforce, the production in a factory decreases by 30%. By what percentage should the working hours per person be increased to restore the original production? (Correct to two decimal places.)
43.35%
42.86%
37.75%
40%
Correct answer
43.35%
If \(\frac{{3, \times ,7, + ,12}}{{12,, \times ,,7, + ,3,, \times ,4, - ,2}}, = ,\frac{1}{{\rm{K}}}\), then what is the value of K?
\(\frac{{95}}{{32}}\)
\(\frac{{94}}{{33}}\)
\(\frac{{96}}{{47}}\)
\(\frac{{92}}{{35}}\)
Correct answer
\(\frac{{95}}{{32}}\)
A thief escapes custody at 10 a.m. He runs at a speed of 40 km/h. The policeman starts chasing the thief at 11:30 a.m., starting from the point from where the thief escaped custody. The speed of the policeman is 60 km/h. At what time will he catch the thief?
2:45 p.m.
2:00 p.m.
2:15 p.m.
2:30 p.m.
Correct answer
2:45 p.m.
David purchased an item and marked his price up by 10%. He sold the same item by giving a discount of 5% and he made a profit of ₹12.87. What is the actual cost price of the item?
₹220
₹280
₹286
₹256
Correct answer
₹220
Pipe A can fill an empty cistern in 6 hours and pipe B can fill the same empty cistern in 8 hours. Both the pipes are opened simultaneously but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern?
2
\(3\frac{1}{3}\)
\(3\frac{2}{3}\)
4
Correct answer
2
Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second, is:
11 ∶ 12
12 ∶ 12
13 ∶ 11
12 ∶ 11
Correct answer
11 ∶ 12
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.