Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A man divides a certain sum among his wife, his son and his daughter. His wife gets 45% of the sum, his son gets 30% of the sum, and his daughter gets the remaining Rs. 6,25,000. What amount did the wife get?
Rs. 5,00,000
Rs. 11,25,000
Rs. 7,50,000
Rs. 6,25,000
Correct answer
Rs. 5,00,000
What should come in place of the question mark (?) in the following equation?
(?)2 + ? + 123 = 132 + 222 + 2715
38
40
34
50
Correct answer
38
The average weight of nine persons is 25 kg. If a new person joins this group, then the average weight becomes 26 kg. What is the weight of the new person?
35 kg
28 kg
34 kg
30 kg
Correct answer
35 kg
Venus marked an article at 60% above its cost price. She sold it at a profit of 20%. Find the discount percentage offered on the article.
40%
15%
25%
75%
Correct answer
40%
The number of adults who come only to walk in a park every day is 140. 18% of the adults come only to accompany their children in the park. 54% of the adults come only to run in the park. What is the total number of adults who come to the park every day (if the adults come for no other activity other than for the given reasons)?
400
700
500
560
Correct answer
400
Ramesh incurred a loss of 10% after selling a phone. If he had sold the phone for Rs. 1,260 more, then he would have made a profit of 5%. What is the cost price of the phone?
Rs. 8,600
Rs. 8,000
Rs. 9,000
Rs. 8,400
Correct answer
Rs. 8,600
The sum of the lengths of the radius and the diameter of a circle is 84 cm. What is the difference between the lengths of the circumference and the radius of this circle? [Use \(\pi=\frac{22}{7}\)]
156 cm
172 cm
148 cm
128 cm
Correct answer
156 cm
1The following table shows a survey conducted in the schools of a city. This survey shows the type of activities teenagers (age 13 to 19 years) are involved in during their leisure time.
| Activities | Distribution of leisure time |
|---|---|
| Cell phone | 25% |
| Friends | 30% |
| Net surfing | 20% |
| Watching TV | 20% |
| Playing sports | 5% |
If a teenager has 6 hours of leisure time in a day, then how much time does he/she spend daily on net surfing?
2 hours 30 minutes
2 hours 12 minutes
1 hour 15 minutes
1 hour 12 minutes
Correct answer
2 hours 30 minutes
470 liters of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
6 litres
8 litres
5 litres
10 litres
Correct answer
6 litres
The value of 30% of 680 + \(2\frac{3}{11}\) of 1331 is:
3230
3229
3231
3225
Correct answer
3230
Three numbers, a, b and c are said to be in continued proportion if a ∶ b ∶∶ b ∶ c. What number must be added to each of the numbers 1, 7 and 25 so that the resulting sums, in that order, may be in continued proportion?
2
4
6
5
Correct answer
2
Study the given bar-graph and answer the question the follows.
The bar-graph shows the distance (in km) between two cities and speeds (in km/h) of a person to cover the respective distances.
What is the approximate average speed of the person while travelling from city A to city F?
28.55 km/h
23.91 km/h
21.78 km/h
19.47 km/h
Correct answer
28.55 km/h
Anusha purchased a television and a camera for Rs. 12,000 and Rs. 8,000, respectively. She sold the television at a loss of 10 per cent, and the camera at a profit of 12 per cent. What was her overall loss/profit?
Rs. 240 profit
Rs. 450 loss
Rs. 240 loss
Rs. 450 profit
Correct answer
Rs. 240 profit
The larger diagonal of a rhombus is 150% of its smaller diagonal, and its area is 432 cm2. Find the length (in cm) of the side of the rhombus?
\(8\sqrt{13}\)
\(4\sqrt{13}\)
\(6\sqrt{13}\)
\(2\sqrt{13}\)
Correct answer
\(8\sqrt{13}\)
There are two numbers such that the first number is 5 times of the second number. If the difference between the first and the second numbers is 120, then what is the average of these two numbers?
90
80
95
85
Correct answer
90
A alone can do a piece of work in 10 days. B alone can do the same work in 12 days. They work on alternate days starting with A. In how many days will days will they complete \(\frac{3}{4}\) of the total work?
\(\frac{47}{3}\) days
\(\frac{50}{3}\) days
\(\frac{53}{6}\) days
\(\frac{49}{6}\) days
Correct answer
\(\frac{47}{3}\) days
Raja borrowed Rs. 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. What is Raja's gain in two years?
Rs. 1,080.00
Rs. 1,125.00
Rs. 937.50
Rs. 865.50
Correct answer
Rs. 1,080.00
The given pie chart represents the distribution of the percentage of sales of a particular brand of bike from five showrooms, A, B, C, D and E, during 2021. The total number of bikes sold during that year from the five showrooms is 6000.
What is the total number of bikes sold from showrooms C and D?
1550
1280
1380
1640
Correct answer
1550
A household of three humans has cats an dogs in the ratio 1 ∶ 2. If the total number of legs in the household is 42, what is the total number of cats in the household?
12
6
9
3
Correct answer
12
What is the least number which, when divided by 60, 84, and 96, leaves remainders of 28, 52, and 64, respectively?
3318
3360
3392
3328
Correct answer
3318
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.