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.
What is the value of: $5 + 55 + 555 + 5555 + 55555$?
Simplify: $(2\frac{1}{4} + 3.8) - 2\frac{1}{5}$
Evaluate: $\left(\frac{1}{\sqrt{16}-\sqrt{15}}\right) - \left(\frac{1}{\sqrt{15}-\sqrt{14}}\right) + \left(\frac{1}{\sqrt{14}-\sqrt{13}}\right) - \left(\frac{1}{\sqrt{13}-\sqrt{12}}\right) + \left(\frac{1}{\sqrt{12}-\sqrt{11}}\right) = ?$
In a sports survey of 150 students, determine the ratio of students who play Cricket to those who play Badminton.
Play Cricket and Badminton: 30
Play Cricket but not Badminton: 50
Play Badminton but not Cricket: 40
Play neither sport: 30
Raj and Priya started a business with 1,50,000 and 1,20,000 respectively. After 6 months, Priya invested an additional 60,000 and Raj withdrew 30,000. What is their profit-sharing ratio at the end of 1 year?
X invests 25,000 and Y invests 40,000 in a business. X receives an additional 15% bonus for administration work. The total profit is 75,000. What is X's share (approximate)?
A cricketer's average score over a series of matches is 42. If she scores 138 runs in the next match, her average increases to 46. How many matches did she play before this?
The average of 15 numbers is 72. The average of the first 6 numbers is 65. The average of the next 5 numbers is 20% higher than the average of the first 6. The 12th number is 8 less than the 15th, and the 13th is 5 greater than the 15th and if 14th number is 78. What is the average of the 12th and 13th numbers?
In an election, 75% of eligible voters participated. Of these, 4% were invalid votes. If a winning candidate got 13,500 votes which was 55% of valid votes, what was the total number of eligible voters (to the nearest integer)?
The compound interest on a principal at 20% p.a. for 1.5 years, compounded annually, is 3,400. Find the principal.
If the compound interest on a sum at $14\frac{2}{7}\%$ per annum for 3 years is 1,680, find the simple interest for the same period and rate.
A spice merchant bought 18 kg of Turmeric at 320/kg and 28 kg of Coriander at 260/kg. He mixed them. Due to market conditions, he had to sell the mixture at 290/kg. Calculate the loss or gain.
A retailer sold three products X, Y, and Z with selling prices in the ratio 3:5:7. He incurred a 12% loss on X, a 40% profit on Y, and broke even on Z. What was his overall profit or loss percentage?
An 84-litre mixture has milk and water in the ratio 5:2. If 21 litres of the mixture is removed and 12 litres of pure milk is added, what is the new ratio of milk to water?
A supplier buys items at P with a 60% markup. The retailer gets a 25% discount and sells at 2.8P. The customer pays 19,040 after a 15% discount. What is the original cost P per item?
X can complete a project in 14 days, Y in 10 days. When Z joins them, the work is finished in 3.5 days. How many days would Z need alone?
Four varieties of wheat costing 30/kg, 45/kg, 60/kg and an unknown price are mixed in ratio 1:2:3:4. The mixture is sold at 46/kg with 15% profit. What is the cost of the fourth variety?
P can complete a task in 6 days, Q can destroy it in 4 days. P works for 3 days, then Q joins for 2 days. In how many days will P finish the remaining work alone?
A helicopter covers a distance in 4 hours at 280 km/h. To complete the same journey in 50 minutes, what speed is needed?
A person travels between two towns. At 60 km/h, he arrives 1.5 hours early. At 40 km/h, he arrives 1 hour late. What is the distance between the towns?
An annular (ring-shaped) disc has outer and inner radii of 12 cm and 8 cm. What percentage of the full circle is this ring?
A garden is circular with a border 3 m wide around it. The total area including border is 794 m², and the garden area alone is 379.94 m². What is the radius of the garden?
The circumferences of two circular paths are in ratio 2:7. If the smaller path has radius 8 m, what is the radius of the larger path?
What is the equation of a line passing through (0,4) with slope -2?
If $m + \frac{1}{m} = 6$, find the value of $m^2 + \frac{1}{m^2}$.