Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A dealer bought an item at a discount of 10% on its original price. He sold it for an amount 35% more than the original price. What percentage of profit did he get?
42.5%
50%
62.5%
57.5%
Correct answer
42.5%
Find the largest number with which when 394 and 658 are divided, they leave remainders of 1 and 3, respectively.
143
141
133
131
Correct answer
143
40 chairs are bought at the marked price of 36 chairs. If these 40 chairs are sold after giving a discount of 1%, then find the profit percentage?
7.25%
5%
12.5%
10%
Correct answer
7.25%
The length of a rectangle is 5 times of its breadth. If the breadth is 10 cm, then what is the perimeter of the rectangle?
60 cm
110 cm
120 cm
95 cm
Correct answer
60 cm
Find the length of the diagonal of a closed cube whose total surface area is 96 m2.
8 \( \sqrt{3} \) m
4\( \sqrt{3} \) m
2\( \sqrt{3} \) m
4 m
Correct answer
8 \( \sqrt{3} \) m
The number of students in a hostel increases from 5400 to 6075. By what percentage should the hostel reduce the per head consumption of food, so that the expenditure on food does not increase?
\(8\frac{1}{3}%\)
\(11\frac{1}{9}%\)
\(12\frac{1}{2}%\)
10%
Correct answer
\(8\frac{1}{3}%\)
The following pie chart shows the percentage distribution of employees in five departments of a company XYZ.
How many employees are there in the Marketing and Accounts departments taken together?
1500
1200
1250
1400
Correct answer
1500
The following bar chart shows the number of flowers (in ‘000 kg) grown by a floriculturist in 5 consecutive years.
The number of flowers grown in Y5 was 15% more than those grown in Y4. The number of flowers grown in Y6 was 20% more than those grown in Y5. What is the difference between the numbers of flowers grown in Y9 and Y4?
168000
142000
154000
132000
Correct answer
168000
The height of a cylinder is 3 cm more than the radius of its base. If the height is 10 cm, then what is the volume of this cylinder? [Use π = \(\frac{22}{7}\)]
1540 cm3
1860 cm3
2160 cm3
1240 cm3
Correct answer
1540 cm3
Point P and Q are 400 km apart. A person starts from P towards Q at 6 a.m. at a speed of 20 km/h. Another person starts from Q towards P at 6:30 a.m. at a speed of 30 km/h. At what time will they meet?
1:48 p.m.
2:18 p.m.
1:38 p.m.
2:28 p.m.
Correct answer
1:48 p.m.
140 liters of a solution is formed by mixing two solutions A and B. The concentrations of milk in A and B are 40% and 75%, respectively. If the resultant solution has a milk concentration of 52%, then what is the quantity of A that is there in the resultant solution?
92 litres
48 litres
65 litres
57 litres
Correct answer
92 litres
8 girls and 12 boys can complete a piece of work in 4 days, while 10 girls and 6 boys can complete it in 6 days. How long will 5 girls and 3 boys take to complete this same piece of work?
12 days
14 days
11 days
13 days
Correct answer
12 days
A man takes 4 hours and 30 minutes to row a boat a distance of 18 km downstream, and 3 hours 30 minutes to row the boat a distance of 7 km upstream. Find the speed of the stream.
4 km/h
2 km/h
3 km/h
1 km/h
Correct answer
4 km/h
What is the value Of \(\frac{36\div 9\times 5\div15+7\times 3}{6\div12\times3\div12+8\times 3}\)?
\(\frac{528}{529}\)
\(\frac{536}{579}\)
\(\frac{487}{529}\)
\(\frac{485}{569}\)
Correct answer
\(\frac{528}{529}\)
What should come in place of the question mark (?) in the following mathematical statement?
\(\frac{18}{60}\times \frac{15}{108}\times?=19\)
456
470
466
442
Correct answer
456
P ∶ Q = 4 ∶ 5 and R is 15% less than Q. If Q = 300, then what is the sum of P and R?
515
485
495
475
Correct answer
515
The value of P varies directly as the square of Q. When Q is 4, then P is 48. What is the value of Q when P is 243?
3
27
9
81
Correct answer
3
On selling 18 pens at Rs. 660, there is a profit equal to the cost price of 4 pens. What is the cost price of one pen (in Rs.)?
33
45
30
22
Correct answer
33
A camp of 250 soldiers has food for 600 days. After 60 days, 50 soldiers leave the camp. For how many days will the remaining food last from the time that these 50 soldiers left?
725 days
750 days
675 days
650 days
Correct answer
725 days
Vishal and Param each sold their article at Rs. 1,818 but Vishal incurred a loss of 10%, while Param gained by 1%. What is the ratio of the cost price of Vishal’s article to that of Param’s article?
101 ∶ 90
3 ∶ 4
85 ∶ 89
81 ∶ 75
Correct answer
101 ∶ 90
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.