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.
There are 125 students in a hostel. Food is provided to them by the hostel mess. Due to new admissions, 60 new students join the mess, and the daily expenses of the mess increase by 1,650, while the average expenditure per head diminishes by 24. What was the original daily expenditure (in, to the nearest tens) of the mess?
A shopkeeper gains 25% by selling an item at a 37.5% discount on its marked price. If the cost price increases by 20% and the shopkeeper wishes to maintain the same profit percentage, what discount should he offer?
In a Δ ABC, AB = 16, BC = 32 and CA = 24. AD is an angle bisector of ∠A meet BC at D. then find the value of AD
Raghu's expenditures and savings are in the ratio 8: 5. If his income and expenditures increase by 10% and 12%, respectively, then by what percentage will his savings increase?
If A + B = C, then tan A tan B tan C = ?
The average of 5 consecutive odd natural numbers is 27. Previous 5 consecutive odd natural numbers to these 5 odd natural numbers are also included. What will be the average of newly added numbers?
Find the value of x in the following expression.
(0.49)4 × (0.343)4 ÷ (0.2401)4 = (7 ÷ 10)(x+2)
Two right circular cylinders C1 and C2 have equal volumes, and their heights are in the ratio 2:3, respectively. What is the ratio of their radii, r1: r2?
Navneeta lent 8200 to Kavya at 3% annual compound interest for 3 years. The amount Navneeta receives after 3 years is: (approximately)
Which of the following is correct?
i. √10 + √3 > √8 + √5
ii. √10 + √3 < √8 + √5
iii. √10 + √3 = √8 + √5
The height of a tree varies as the square root of its age. When the age of the tree is 324 years, its height is 19 feet. What will be the height of the tree (in feet) at the age of 81 years?
When x is added to each of 13, 19, 16 and 23, then the numbers so obtained, in this order, are in proportion. Then, if 5x : y :: y : (8x - 4), and y > 0 what is the value of y?
Two circles, having their centres at A and at B, touch externally at a point M. From a point P on a tangent at M, tangents PQ and PR are drawn to the circles with points of contact Q and R, respectively. If AP = 13 cm and AM = 5 cm, find the value of PQ + PR - PM.
The length of a side of a square is equal to the diameter of a circle. If the area of the square is equal to 196 cm2 then find the area of the circle (in cm2). (Use π = 22/7)
The value of 1⁄(1 + cot2x)2 + tan2x⁄(1 + tan2x)2 + 1⁄1 + tan2x is :
If two numbers are each divided by the same divisor, the remainders are, respectively, 5 and 6. If the sum of the two numbers is divided by the same divisor, the remainder is 4. The divisor is:
The price of an electronic machine decreased by 5%, 10% and 15% during the first three years. What will be the price of the machine after three years if the value at the beginning was 8,000?
Which of the following has terminal decimal representation?
A thief, seeing a policeman at a distance of 540 metres, starts running at a speed of 9 km/h. The policeman immediately starts chasing him at a speed of 10 km/h. Find the distance covered by the thief before he is caught.
If x + y = 10 and x - y = 8, then the value of x2y2 is:
The width of a rectangle is such that its length exceeds it by 2 cm. Given that the perimeter measures 44 cm, determine the area of the rectangle.
The salary of Margaret is increased by 12%. If her new salary becomes 22,400, find the original salary of Margaret.
A sum fetched a total simple interest of 1376.70 at the rate of interest of 5% per annum in 6 years. What is the sum?
Three solutions contain acid and water in the ratios 1:2, 2:3, and 3:2 respectively. Equal quantities of the first two solutions and twice the quantity of the third solution are mixed together. What is the ratio of acid to water in the final mixture?
A rectangular prism has volume 288 cm3 and base dimensions 6 cm and 4 cm. Find its height.