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.
Let $a = \sqrt{5} + \sqrt{7}$ and $b = \sqrt{12} + \sqrt{3}$. Which is greater?
What is the central angle (in radians) of a sector with arc length 12 cm in a circle of radius 4 cm?
A firm ordered 15 premium machines and some standard machines. The price of a premium machine was 6 times that of a standard machine. By mistake, the number of premium and standard machines was interchanged in the delivery, which increased the total bill by 62.5%. What was the ratio of the number of premium machines to standard machines in the original order?
A circular garden has a radius of 18 m. A 2.5 m wide pathway is constructed around it. What is the approximate area of the pathway?
What is $\frac{3\pi}{2}$ radians in degrees?
Evaluate the continued fraction: $x = 3 + \frac{1}{2 + \frac{1}{5 + \frac{1}{3}}}$
M and N contribute to a business investment in the ratio 2:7. They earn a profit of 81,000. M is a working partner and receives 15% of the profit extra. What is M's total share?
The number of yellow, red, and blue pens in a box is in the ratio 2:5:7. If 18 yellow pens, 12 red pens, and some blue pens are added to the box, the ratio of yellow, red, and blue pens becomes 3:6:8. Determine the number of blue pens added.
Find the compound interest on 12,000 at 8% per annum for 2 years 9 months, interest compounded annually.
An 80-litre mixture contains milk and water in the ratio 7:1. Some quantity of this mixture is removed and replaced with pure milk. If the final ratio of milk to water becomes 15:1, how many litres of the mixture were replaced?
P and Q invest ₹50,000 and 75,000 respectively in a business. What is P's share in a profit of ₹60,000?
In a group of 60 workers, the average monthly income per worker is 28,000. If 20 junior workers average 18,000 each, what is the average monthly income (in) for the senior workers?
X, Y, and Z can complete a project in 20, 40, and 60 days respectively. X works every day, while Y and Z join X every third day. How long will it take to finish the project?
The price of diesel increased by 6%. Before the increase, the price was 85 per litre. A person travels 2880 km every month and his vehicle gives a mileage of 12 km per litre. What is the increase in the monthly expenditure (to the nearest) on his travel due to the price hike?
If $\sin(90^\circ - B) = 2/3$, what is $\cos B$?
If $x = \sqrt{11}$, determine the value of $x + 1/x$.
Two similar circles have their radii in the ratio 5:8. What is the ratio of their areas?
The ratio of efficiencies of workers A and B is 4:3. If A can finish a task in 18 days, in how many days will B finish the same task alone?
On a circular track, a motorcycle starts from point X and a truck starts from point Y, which is 500 m ahead of X in the direction of motion. The speed of the motorcycle is 20 m/s and that of the truck is 8 m/s. If the length of the track is 2.2 km, how much distance will the motorcycle have travelled when it overtakes the truck for the first time?
A baker buys three types of flour: wheat, rye, and oats. Wheat flour costs 5 for 40, rye flour at 6 for 45, and oats flour at 4 for 36. He mixes them in the ratio 2:2:3. He sells all the mixed flour at 3 for 32. What is his approximate profit or loss percentage?
The ratio of male to female employees in a company is 8:6. If 15 more female employees join the company, the new ratio of male to female employees becomes 8:7. What is the total number of employees in the company initially?
The angles of a cyclic quadrilateral are in the ratio 1:3:4:4. What is the measure of the largest angle?
If $x = \sqrt{\frac{5+2\sqrt{6}}{5-2\sqrt{6}}}$, then determine the value of $x^2 + 3x - 15$?
If $\cos A = 5/13$ and $A$ is acute, find $\tan A$.
The line $3x + 2y = 12$ passes through which of the following points?