Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The marked price of an article is Rs. 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article?
Rs. 580
Rs. 540
Rs. 600
Rs. 640
Correct answer
Rs. 580
The average marks of 5 students is 85. If the marks of a new student are also considered, then the average marks becomes 84. What is the marks obtained by the new student?
79
83
78
81
Correct answer
79
A bought a bag and a bottle for a total of Rs. 900. He sold the bottle at a profit of 12% and the bag at a profit of 20%. If he earned a total profit of Rs. 160.80, then calculate the cost price of the bottle.
Rs. 320
Rs. 300
Rs. 200
Rs. 240
Correct answer
Rs. 320
The length of each side of a square is 15 cm. What is the perimeter of the square?
80 cm
70Â cm
60Â cm
100Â cm
Correct answer
80 cm
A can beat B in a 100-metre race by 10 metres. B can beat C in a 100-metre race by 10 metres. What is the ratio (tA ∶ tB ∶ tC), which are the respective times taken by A, B and C to complete the race?
100 ∶ 90 ∶ 81
90 ∶ 81 ∶ 100
100 ∶ 81 ∶ 90
81 ∶ 90 ∶ 100
Correct answer
100 ∶ 90 ∶ 81
The following table shows the number of tables and the number of chairs made of 5 different metals sold by a furniture store over a given time period.
| Metal | Tables | Chairs |
|---|---|---|
| M1 | 100 | 50 |
| M2 | 150 | 70 |
| M3 | 120 | 40 |
| M4 | 125 | 25 |
| M5 | 200 | 60 |
N = Average number of chairs sold per metal
The number of tables sold that were made of metal M3 is approximately what percentage more than N?
144.90%
166.67%
122.22%
188.89%
Correct answer
144.90%
A goldsmith uses 110 cm3 of gold to make a wire 1 mm in diameter. He will use this wire to make gold chains of equal lengths. If each chain requires 56 cm length of wire, then how many gold chains can he make? [Use \(\pi=\frac{22}{7}\)]
320
250
160
210
Correct answer
320
M is inversely proportional to N. If M is 20, then N is 70. If N = 50, then what is the value of M?
20
700
28
600
Correct answer
20
A project can be completed by 2 men and 5 women in 8 days while 4 men and 6 women can complete the same project in 5 days. How many men will be required to complete this project in 4 days?
8
10
9
12
Correct answer
8
A boat can travel 18 km in 3 hours while going upstream, and 40 km in 4 hours while going downstream. What is the speed of the boat in still water?
6 km/h
8Â km/h
10Â km/h
9Â km/h
Correct answer
6 km/h
What is the value of \(\frac{5}{14}\) of \(\frac{7}{12}+\left[\frac{5}{24}-\left(\frac{1}{6}+\frac{1}{2}-\frac{1}{3}\times\frac{1}{4}\right)\right] \) ?
\(\frac{-1}{6}\)
\(\frac{-2}{5}\)
\(\frac{-3}{4}\)
\(\frac{-1}{8}\)
Correct answer
\(\frac{-1}{6}\)
What is the value of \(\frac{0.6\times0.6\div0.3+0.2\times0.3-0.6}{0.1\times0.2\div0.4}\) ?
15.2
14.6
13.2
12.5
Correct answer
15.2
A camp of 150 soldiers has food for 400 days. After 50 days, 100 more soldiers join the camp. For how many days will the food last from then onwards?
250 days
210Â days
230Â days
220Â days
Correct answer
250 days
There are two numbers 'x' and 'y'. 40% of 'x' is equal to 60% of 'y'. If the average of 'x' and 'y' is 225, then what is the difference between 'x' and 'y'?
85
80
75
90
Correct answer
85
Mohan invested Rs. 5,000Â in a bank which offered interest at the rate of 10% per year compounded semi-annually. How much amount will he get after 2 years? [Give your answer correct to the nearest integer value.]
Rs. 6,512
Rs. 6,320
Rs. 6,250
Rs. 6,078
Correct answer
Rs. 6,512
If a ∶ b ∶ c = 3 ∶ 2 ∶ 4 and b ∶ d = 2 ∶ 3, then find the value of \((\frac{a + c + d} {c - b})^3\).
729/8
216
125
1000/27
Correct answer
729/8
Sai can do a piece of work alone in 50 days. Ria is 25% more efficient than Sai. What is the number of days that Ria will take to do the same piece of work alone?
30 days
60 days
40 days
56 days
Correct answer
30 days
If 30% of a number is 15 more than 135, find 50% of that number.
200
210
230
250
Correct answer
200
If the cost price of an item is ₹2,000 and it is sold at a loss of 25%, then find its selling price.
₹1,500
₹1,000
₹2,000
₹3,500
Correct answer
₹1,500
The sum of the radius and the diameter of a solid sphere is 63 cm. What will be the volume of this sphere? [Use π = \(\frac {22}{7}\)]
38808 cm3
39206 cm3
34604 cm3
41244 cm3
Correct answer
38808 cm3
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.