Master official previous years' questions for Quantitative Aptitude, Reasoning & General Intelligence, English Language & Comprehension, General Awareness, and Computer Knowledge with verified explanations.
Marking pattern: Tier-I (+2.00, -0.50) • Tier-II (+3.00, -1.00) official scheme.
P and Q start a business. P invests ₹90,000 for 8 months, Q invests ₹1,50,000 for 5 months. What is Q's share of a ₹50,000 profit (approximate)?
Rajesh started a business by investing ₹1,00,000. After 5 months, Suresh joined with ₹1,50,000. At the end of 7 months from the start, Tushar joined with ₹2,00,000. If the total profit is ₹1,50,000 at the end of the year, find the share of Tushar (approximate).
What is the average of all integers between 150 and 300 that are exactly divisible by 13?
The average of 12 numbers is 75. The average of the first 5 numbers is 68. The average of the next 5 numbers is 20% more than the average of the first 5 numbers. The 11th number is 12 more than the 12th number. What is the average of the 11th and 12th numbers?
A landlord bought a property for ₹12,00,000. He wants to earn a 10% annual return on his investment after paying ₹2,500 per month for maintenance. What should be the monthly rent he charges?
From a sample of 250 data scientists, determine the ratio of those proficient in Python to those proficient in R.
| Category | Number of Data Scientists |
|---|---|
| Proficient in Python and R | 50 |
| Proficient in Python only | 80 |
| Proficient in R only | 70 |
| Proficient in neither language | 50 |
| Total Sample Size | 250 |
Arrange the fractions 7/11, 5/9, 4/7 and 3/5 in ascending order.
Evaluate: $8\frac{1}{3} - \left[ \frac{7}{9} \div \left\{ \frac{2}{5} - \left( \frac{1}{3} \times \left( \frac{5}{6} - \frac{1}{6} \right) \right) \right\} \right]$
$32^3 + 19^3 - 38^3 + 312$ is equal to:
An amount is said to triple in 6 years with compound interest. How many years will it take for the amount to grow to 27 times its original value?
A company produced 1500 units at a total cost of ₹1,20,000. It donated 300 units to an NGO. For the rest, it announced a 15% discount on the market price of ₹110 per unit. It also offered 3 units free for every 10 units purchased. If all 1500 units were distributed, what is the overall gain or loss percentage?
A 50-litre mixture contains juice and water in the ratio 3:2. How much water (in litres) must be added to this mixture to change the ratio of juice to water to 3:4?
Priya purchased 30 litres of honey at ₹50 per litre. She also purchased 20 litres of honey at ₹55 per litre. She combined both quantities and then sold the entire mixture at ₹54 per litre. What was her total profit or loss?
A sum becomes ₹7,200 in 2 years and ₹8,640 in 3 years at compound interest. What is the original principal?
An express train covers a fixed distance in 40 minutes at an average speed of 200 km/h. Due to construction work, it needs to be diverted, increasing the distance by 25%. If the train needs to arrive at its destination on time (in 40 minutes), what should its new average speed be in km/h?
A circular garden has a radius of 28 cm. If 80% of it is cultivated, what is the area of garden remaining uncultivated?
Two motorcycles, M and N, start from points 480 km apart. They travel at constant speeds. If they move towards each other, they meet in 5 hours. If they move in the same direction, they meet in 15 hours. What is the speed of motorcycle M? (Assume M is the faster motorcycle)
Two spices priced at ₹80 per kg and ₹160 per kg are blended. They are sold at ₹140 per kg, achieving a profit margin of 25%. What is the ratio of the two spices in the mixture?
X is able to complete a task in 12 days, while Y takes 18 days to finish the same task. If they collaborate and work together for 3 days, what fraction of the work will still remain?
Three pumps, A, B, and C are capable of filling a reservoir. A fills in 5 hours, B in 7 hours, and C in 10 hours. When all three pumps are opened together, they operate for 1.5 hours before pump C is closed. How much additional time will it take to completely fill the reservoir after that?
A retailer marks a laptop 70% above its cost price. He offers a first discount of 20% on the marked price. During a sale, an additional discount of 15% is applied on the already discounted price. If the final selling price is ₹39,312, what is the approximate cost price of the laptop?
An annular region has outer radius 12 cm and inner radius 8 cm. What is the approximate ratio of the annular area to the whole outer circle?
A car wheel having a radius of 42 cm. What percentage of its circumference is covered in a half turn? (Use $\pi = 22/7$)
The line $y = mx + 7$ passes through $(2, 13)$. Find $m$.
Simplify: $(3 + 2.8) - 1.5$