Quantitative Aptitude PYQ — Page 344
24,303 questions across SSC exams.
SSC CGL • 2021
A customer wanted to purchase an item marked for Rs10000. Shopkeeper offered two types of discounts, 25% flat discount or successive discounts of 14 % and 12%. Which is the better offer for the customer and by how much?
SSC Selection Post • 2024
The height of one cone is 3 times the height of another cone, while its radius is half of the radius of other cone. If their total volume is 100 unit³ , then the difference in the volumes of the cones is __ unit³.
SSC CGL • 2025
A stationery shop ordered 8 dozen red pens and some additional dozen blue pens. The price of the red pens per dozen was four times that of the blue ones. When the order was delivered, it was found that the number of dozens of the two colors had been…
SSC CGL • 2024
The given table shows the number of bananas produced by five farms over 4 years. [Table] What is the respective ratio of the dozens of bananas produced by farm M to farm P in the year 2022?
SSC CHSL • 2019
A, B and C can complete a piece of work in 4, 28 and 56 days respectively. Working together, they can complete the same work in how many days?
SSC GD • 2019
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 60 km away from point A, at the same time. On the way, however, the train lost about 12.5 min while stopping at the stations. The speed of the car is :
SSC GD • 2021
15 persons begin to work together on a job, but after some days 6 persons leave. As a result, the job which could have been completed in 42 days is completed in 54 days. After how many days of the commencement of the work did 6 persons leave?
SSC CGL • 2025
Three friends share a winning prize in the ratio 2 : 3 : 4. If the total prize is Rs. 9000, how much more does the person with the highest share get than the lowest?
SSC GD • 2019
After allowing a discount of [Image] % on the marked price of an article. it was sold for Rs. 700. Had the discount NOT been given, the profit would have been 60%.The cost price of the article is:
SSC CGL • 2022
The table given below shows the number of pencils sold by 7 shops. [Image] What is the ratio of the number of pencils sold by S3 to the number of pencils sold by S6?
SSC CHSL • 2020
The value of [√(3) + 2Sin P/1 – 2 Cos P]³ + [1 + 2Cos P/ √(3) – 2Sin P]³ is:
SSC CGL • 2024
There are two pipes to fill a tank. Together, they can fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in:
SSC CGL • 2020
The chords AB and CD of a circle intersect at E. If AE = 12 cm, BE = 20.25 cm and CE = 3 DE, then the length (in cm) of CE is:
SSC CHSL • 2025
In a circle with center O, points A, B, and C are on the circumference. If the angle ∠AOB=80°, what is the measure of the angle ∠ACB?
SSC CGL • 2016
By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?
SSC CHSL • 2019
If [Image] then, find the value of x:
SSC CGL • 2020
The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:
SSC CHSL • 2021
A sum of money lent at simple interest amounts to Rs. 9,920 after 2 years and to Rs. 12,800 after 5 years. Find the rate of interest per annum.
SSC CGL • 2023
In a right triangle for an acute angle x, if sin x =3/7 , then find the value of cos x.
SSC Selection Post • 2022
A table costs ₹2,250, which is 25% below the marked price. If the article is sold at a discount of 18% on the marked price, then what is the profit or loss percentage? (Correct to two decimal places).
SSC CHSL • 2022
Simplify: 2[8p + 5 {n - 2 (n - n+p̅ ) + 4p}]
SSC CHSL • 2024
The total income of three families is ₹72,000. Their expenditures are 80%, 85% and 75%, respectively. If the savings are in the ratio 8 : 9 : 20, then the income of the second family is:
SSC CHSL • 2025
What is the simplest form of the fraction represented by the recurring decimal 0.454545...?
SSC CGL • 2023
The square of the sum of two given natural numbers is 784, while the product of the two given numbers is 192. Find the positive difference between the squares of these two given numbers.
SSC MTS • 2022
Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use pi = 22/7]
SSC CHSL • 2020
A chair was purchased for Rs.785 and sold at a profit of 22%. What was the selling price?
SSC Selection Post • 2022
In a discount scheme, there is 35% discount on the marked price of Rs.4,800, but the sale is finalised at Rs.2,184 only. What additional discount did the customer get?
SSC CHSL • 2022
Sin (−A) = ?
SSC CHSL • 2024
The perimeter of a triangle is 36 units. Its area cannot be more than __ square units.
SSC Selection Post • 2022
If cosec A = 5/4 , then what is the value of tanA?
SSC CGL • 2021
In a triangle ABC, point D lies on AB, and points E and F lie on BC such that DF is parallel to AC and DE is parellel to AF. If BE = 4cm, CF = 3 cm, then find the length (in cm ) of EF.
SSC CGL • 2024
A rectangular piece of paper is 52 cm long and 22 cm wide. If a cylinder is formed by rolling the paper along its breadth, then the volume of the cylinder is:
SSC CGL • 2020
If angles of a triangle are in the ratio of 2 : 3 : 4, then the measure of the smallest angle is:
SSC CHSL • 2021
The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm²) of the rhombus is:
SSC CHSL • 2024
A metallic solid cuboid of dimensions 36 cm × 22 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of the cubes so formed.
SSC CHSL • 2024
Raju spends 80% of his income. His income increased by 20%, while his spending rose by 10%. The percentage increase in his savings is:
SSC CGL • 2023
15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days. If all 15 men and 25 women work together, in how many days will the work be completed?
SSC Selection Post • 2024
Reyan purchased a laptop for ₹56,000 and a scanner-cum-printer for ₹22,000. He sold the laptop for a 20% profit and the scanner-cum-printer for a 15% profit. What is his profit percentage?
SSC CGL • 2021
Points A, D, C, B and E are concyclic. If ∠ AEC = 50º and ∠ ABD = 30º, then what is the measure (in degrees) of ∠ CBD?
SSC CGL • 2024
Simplify the following: [(51over 2-31over 3) of 15over 13+1-2×35over 2÷23over 4 ]
SSC Selection Post • 2022
A merchant purchased 650Kg of wheat at ₹50 per Kg. He sold 250Kg of it at a profit of 24% and 200Kg at a loss of 24%. At what rate per Kg (in₹) should he sell the remaining wheat to gain 20% on his initial investment?
SSC CHSL • 2021
Savita spends 20% of her monthly income on groceries, 15% of the remaining on rent and then 60% of the left over on children's education and others. If she saves Rs. 9,792 a month, then how much (in Rs.) does she spend on rent?
SSC Selection Post • 2020
If a³ + b³ + c³ - 3abc = 250 and a + b + c = 10, then what is the value of ab + bc + ca?
SSC CGL • 2023
If ∆ABC ~ ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm, and RP = 12 cm, then find the perimeter of ∆ABC.
SSC CHSL • 2025
A construction engineer designs a cone and a hemisphere, both of radius r, to be made from the same volume of concrete. If the volumes are equal, what is the height of the cone in terms of r?
SSC CGL • 2022
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. after how many seconds, will they toll together again?
SSC Selection Post • 2023
In an examination, the ratio of practical to theory marks is 3 ∶ 7. If 80% of the marks are scored in the practical and 60% of marks are scored in the theory, what is the ratio of marks scored in the theory and the practical?
SSC CHSL • 2021
A sum of money amounts to Rs. 28224 in 2 years and to Rs. 29635.20 in 3 years when invested on compound interest, compounded annually. what is the sum of money?
SSC Selection Post • 2023
Mahesh buys a water cooler for ₹28,500 and sells it for ₹24,800. What is his loss percentage? (Correct to 2 decimal places)
SSC CGL • 2019
A is 40% more efficient than B and C is 20% less efficient than B. Working together, they can complete a task in 20 hours. In how many hours will A alone complete 35% of that task?