Quantitative Aptitude PYQ — Page 214
24,303 questions across SSC exams.
SSC CHSL • 2019
If 24√3 x³+ 5√5 y³= (2√3x + √5y) (Ax²+ Cy²+ Bxy) then what is the value of (A² – B² + C²) ?
SSC CGL • 2024
Find the value of (453×453×453 - 383×383×383) over (453×383 + 383 ×383 + 453 ×453).
SSC CGL • 2022
A shopkeeper allows a 28% discount on the marked price of an artical and still makes a profit of 30%. If he gains Rs 39.90 on the sale of an artical, then what is the marked price (to the nearest Rs) of the artical?
SSC CGL • 2024
An article passing through two hands is sold at a total profit of 40% of the original cost price. If the first dealer makes a profit of 30%, then the profit percentage made by the second dealer is:
SSC CHSL • 2022
A number is first increased by 25% and then decreased by 10%. If the resulting number is 72, what is the original number?
SSC CGL • 2025
If sin A = 3/5 and A lies in the 2nd quadrant, what is the value of tan A?
SSC GD • 2023
Two successive discounts of 50 percent and 40 percent are equivalent to a single discount of __.
SSC GD • 2024
If M: N=9: 6, then what is the value of (M+N) : (M-N)?
SSC CGL • 2020
The area of a field in the shape of a regular hexagon is 2400√3 m². The cost of fencing the field at Rs.16.80/ metre is:
SSC GD • 2023
X gets on a lift on the ground floor which goes up at a speed of 30 floors per minute whereas Y gets on another lift at the same time on the 50th floor which goes down at a speed of 45 floors per minute. On which floor will their paths cross? (lifts are…
SSC CHSL • 2024
If the radius of a sphere is increased by 5%, then by what percentage will the surface area of the sphere increase?
SSC CGL • 2025
A cyclist travels from City X to City Y at an average speed of 30 km/h and takes 5 hours. If they want to complete the same journey in 3 hours, by how many km/h should they increase their average speed?
SSC Selection Post • 2022
If the volume of a cuboid is 440cm³ and the area of its base is 88cm², then the height of the cuboid is ___.
SSC MTS • 2022
Find the time taken by a boat to travel 80 km with the current, if the speed of the boat in still water is 14 km/h and the speed of the current is 6 km/h?
SSC CHSL • 2024
A number is first increased by 44% and then decreased by 30%. The net percentage change (rounded off to the nearest integer) in the original number is:
SSC GD • 2024
On Selling a book at 5/12 of the marked price there is a loss of 50 percent. What will be the ratio of marked price and cost price of the book?
SSC GD • 2024
If the price of a dress is reduced from Rs. 800 to Rs. 720, what is the percentage decrease?
SSC GD • 2025
A bus covers a distance of 30 km in 45 minutes and further it covers double the distance covered earlier in 60 minutes. The average speed of the bus is __ km/hr (rounded off to two decimal places).
SSC Selection Post • 2020
If the numerator of a fraction is increased by 20% and the denominator is decreased by 30%, the fraction obtained is 39over25 .The original fraction is:
SSC CGL • 2024
In November, the wages of Sunil are what percentage of the wages of Rahul? (Correct up to two decimal places.)
SSC CHSL • 2021
If 3u + 2v = 7 and uv = 2, then the value of (3u - 2v) is:
SSC CGL • 2024
In a circular race of 840 m, A and B start running in the same direction at the same time from the same point at the speeds of 6 m/s and 12 m/s, respectively. After how much time will they meet next?
SSC CGL • 2023
Simplify the following expression. y + 2x - [{y - (y - x + y )} - (x + y ) + y ] - 2y
SSC Selection Post • 2022
A watch dealer sells a watch at Rs. 359625/- after two successive discounts of 25% and 30% respectively. What is the marked price? (In Rs.)
SSC GD • 2023
Number 350 is increased by 20% and then decreased by 25%. Find the new number.
SSC GD • 2025
A shopkeeper has one spherical laddoo of radius 7 cm. With the same material, how many laddoos of radius 3.5 cm can be made?
SSC GD • 2023
A sofa set is offered for sale at three successive discounts of 10%, 5%, and 2%. Find the net selling price of the sofa set if its marked price is ₹18,000.
SSC CGL • 2017
The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is (Use π = 22/7)
SSC Selection Post • 2020
if √(8x²)dotplus 3√(3y⁶)= ( Ax²+ By² ) ( Cx⁴+ Dx²y²+ 3y⁴ ) , then the value of ((C-D))/((A+B)) is:
SSC CHSL • 2025
A group of 12 students appeared for a physics test. The average of the top 6 scores was 84.5, and the average of the bottom 6 scores was 72.75. Later, it was found that a decimal error had occurred, and one of the scores from the bottom half was mistakenly…
SSC CHSL • 2025
A right prism has volume 1800 cm³ and height 20 cm. What is the area of the base?
SSC Selection Post • 2022
A man’s average driving speed for 9 hours is 72 km/h. During the first 3 hours of his journey, he drove at 54 km/h, and for the next 2 hours and 15 minutes, he drove at a speed of 68 km/h. He maintained a speed of 90 km/h for another 3 hours. What was his…
SSC Selection Post • 2022
The cost price of an article is 16% less than its selling price. What is the profit or loss percentage (to the nearest integer)?
SSC CHSL • 2023
Study the given pie chart and answer the question that follows. Ravi decides to renovate his old house. His percentage expenditure on different renovating items is given by the pie chart. [Image] Ravi gets a discount of 10% and 8% on the cash payment for…
SSC CGL • 2023
PQR is a triangle right angled at Q and PQ : QR = 3 : 4. What is the value of sin P + sin Q + sin R?
SSC GD • 2023
Find the mean proportional between 4 and 900.
SSC CGL • 2023
Two men walk from a place at speeds of 9 km/h and 12 km/h, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.
SSC CHSL • 2023
Which of the following statement is NOT correct? I. The profit of D, E and F is 30.63 percent of the cost price of G, H and I. II. The ratio of total cost price to the total profit is 1 : 2.
SSC GD • 2024
What is the value of 3[4 + 2{42 − 4(9 − 1)}]?
SSC CHSL • 2019
If 2 sin²θ + 5 cos θ – 4 = 0, 0° < θ < 90°, then the value of cot θ + cosec θ is:
SSC Selection Post • 2019
If x + y + z = 17 and xy + yz + zx = 85, then what is the value of √((x ³ + y ³ + z ³ - 3xyz)) ?
SSC CGL • 2022
Find the value of the following expression: 980 ÷ 35 × 16 + 4 - 2 × 2
SSC CHSL • 2024
Simplify the following expression. 111/4 ÷ 3 3/5 × 6 2/3 + 1/6 =
SSC CHSL • 2020
The average of the runs of a cricket player in 20 matches is 35. If the average of the first 12 matches is 45, Find the average of the last 8 matches.
SSC GD • 2021
One third of goods are sold at a 15% profit, 25% of the goods are sold at a 20% profit and the rest of the goods are sold at 10% loss. If a profit of Rs. 350 is earned in the entire transaction then the value of the goods (in ₹) is:
SSC CHSL • 2025
If sin x = 5/13 and x lies in (0°, 90°), then find the value of: [(1 + cos x) / (1 - cos x)]
SSC GD • 2019
If S is 160% of T, then T will be what percent of S?
SSC Selection Post • 2022
The average age of 29 students of the class and their teacher is 14 years. When the teacher's age is excluded, the average age of the student decreases by 1 year. What is the age (in years) of the teacher?
SSC GD • 2025
Evaluate: 16 + 12 ÷ 4 - 2 × 3
SSC CGL • 2018
The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?