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.
The diagonals of a rhombus are mutually perpendicular and bisect each other. One diagonal is 10 cm longer than the other. If the area of the rhombus is 600 cmΒ², the perimeter (in cm) of the rhombus is:
A quadrilateral is circumscribed about a circle. The lengths of two opposite sides are 10 cm and 14 cm. Find the perimeter of the quadrilateral.
An industrial chemical plant features a massive hemispherical containment tank that is currently filled to the brim with a liquid solvent. The tank boasts an internal radius of exactly 3.6 meters. For a scheduled maintenance check, engineers activate a high-powered drainage system that pumps the solvent out at a steady rate of 12 liters per second.
Approximately how many minutes will elapse before the tank is completely emptied? (Take Ο=22/7 and 1 mΒ³=1000 liters)
Suppose the ratio of income to expenditure is 8: 5. If income rises by 40% and expenditure falls by 10%, and the initial expenditure is βΉ 10,000, what is the amount (in βΉ) of saving after these changes?
Given that 113β°Β·βΉβΉ = x, 113β°Β·β·β· = y and xαΆ» = yΒ², then the value of z is close to:
If the sum of the interior angles of a regular polygon is equal to four times the sum of its exterior angles, then what is the number of diagonals in the polygon?
If aΒ² + bΒ² + cΒ² + 189 = 6(a + 4b + 2c), then β(ab + bc + ca) is equal to:
The price of 14 chairs is equal to that of 8 tables. The price of 21 chairs and 5 tables is 11,900. The total price of 12 chairs and 8 tables is:
One of the angles of a quadrilateral is 96Β°. If the ratio of the remaining angles is 3:4:5, respectively, then find the difference between the largest and smallest angles.
The largest four-digit number which when divided by 8, 7 and 11 leaves remainder 4 in each case is:
Evaluate: (11.25 Γ 11.25 Γ 11.25 + 1) / (11.25 Γ 11.25 - 11.25 + 1)^(1/2)
If Chandu covers 285 km in a boat in 45 hours against the stream while he takes 18 hours to cover the same distance downstream, then find the speed of the stream.
The average age of 4 members of a family is 25 years. If the youngest member is 5 years old, what was the average age of the family at the time of the birth of the youngest member?
A new cuboid is formed by placing three cuboids of length 10.5 cm, breadth 6.4 cm, and height 2 cm, one on top of the other. What is the volume of the new cuboid?
Simplify: (sin x - cos x)Β² / (1 - sin x cos x)
If 2 times the mother's age is 28 years more than 7 times her daughter's age, and 5 times the daughter's age is 5 year less than the mother's age, then what is the difference (in years) between the ages of the mother and the daughter?
If M = β((1 + cos A)/(1 - cos A)) - (cosec A + cot A), and A is an acute angle, then value of M is
Two 80-m and 120-m long trains are running in opposite directions at the speeds of 50 km/hr and 30 km/hr respectively. Calculate the time taken by the trains to cross each other.
An insurance company obtained the following data for accident claims from a particular region. Obtain the median (in thousand rupees) from this data. (Round off to two decimal places)
| Account of Claim (thousand) | Frequency |
|---|---|
| 1-4 | 7 |
| 4-7 | 16 |
| 7-10 | 16 |
| 10-13 | 6 |
| 13-16 | 5 |
In ΞABC BDβ₯AC at D and β DBC = 29Β°. E is a point on BC such that β CAE = 25Β°. What is the measure of β AEB'?
A spherical water tank has an internal diameter of 10 meters. If the tank is coated with a material that costs 5 per square meter, what is the total cost to coat the entire internal surface? (Use Ο=3.14)
What is the value of the following expression?
tan A[(sec A + tan A)/(cosec A - cot A)]
Select the option that expresses the given sentence in passive voice.
The curator will have catalogued the entire bequest by June.
Which word is most dissimilar in meaning to the given word?
pristine:
In the following question, choose the alternative opposite in meaning of the given word.
Virtue