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.
If $x = \sqrt{6} - \sqrt{2}$, and $y = \sqrt{5} - \sqrt{3}$ then which of the following is true?
Evaluate: $$\left(\frac{1}{5} \div \frac{1}{3}\right) \div \left(\frac{1}{10} + 1 - \frac{8}{10}\right)$$
Red, blue, green balls are in ratio 2:3:5. If 15 red, 10 blue, unknown green are added, ratio becomes 3:4:6. Green balls added?
P invests 30,000 for 12 months, Q invests 40,000 for 9 months. What is P's share of 28,000 profit?
M and N start business with capital ratio 4:3. After 5 months, M withdraws 8,000, N doubles his. If M invested 40,000 and total profit of one year is 60,000, what is M's share?
What is the average of all three-digit numbers divisible by 19?
Two containers of same volume are 35% and 60% full of water respectively. Then completely filled with milk. After mixing in larger vessel, what % is milk?
A shop ordered 8 dozen type-A pens and some dozen type-B pens. Type-A costs 2.5 times type-B per dozen. When delivered, quantities swapped, bill increased 50%. Ratio type-A:type-B original?
A merchant bought 150 flowers for 600. 18 flowers withered. To earn 25% profit on total cost, selling price per flower?
A store sells item for W at 20% profit. During sale, marked price becomes 1.5W, discount 15%. Profit % during sale?
Solution has acid:water = 6:4 If 5L water added, new ratio is 6:5. Original acid quantity?
P completes job in 15 days, Q in 20 days. P and Q agree for 6,000. With R they finish in 4 days. R's payment?
A tank contains liquids A, B, and C in the ratio 8:6:4. 30 liters of the mixture are drained out, after which 12 liters of A and 8 liters of C are added. In the final mixture, the quantity of A is 20 liters more than the quantity of B. Find the initial total volume of the mixture in the tank.
Time ratio for X:Y to complete task is 5:3. Y alone takes 15 hours. X and Y together?
Three runners on 2.5km circular track start at same point, speeds 8, 10, 12 km/h. From 9am to 3pm, how many times meet at start?
Circular path 2m wide around park (radius 10m). Area of path?
Find slope of line perpendicular to $$y = \frac{1}{3}x + 5$$
Convert 3.2 radians to degrees.
Find the area of a sector of a circle with radius 12 cm and central angle π/5 radians.
If tan B = cot(4B - 45°) what is B?
If two triangles are similar and the ratio of their corresponding altitudes is 3:7, find the ratio of their areas.
Given $b = \sqrt{7}$ what is $(b + 2)^2 + (b - 2)^2$?
Simplify: $$\sqrt{72} + \sqrt{20} - \sqrt{18}$$
What is the maximum possible length of a chord in a circle with a diameter of 28 cm?
If $\cos A - \sin A = \sqrt{3} \cos A$, what is $\tan A$?