Quantitative Aptitude PYQ — Page 154
24,303 questions across SSC exams.
SSC GD • 2024
An article is sold for Rs. 4400 at a loss of 20 percent. What is the cost price of the article?
SSC Selection Post • 2024
Evaluate the following. 5 cos²120⁰+4sec²30⁰-tan²135⁰ over sin²30⁰+cos²30⁰
SSC CGL • 2016
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is:
SSC GD • 2024
The ratio between two numbers is 7 : 8. If each number is increased by 4, the ratio becomes 9 : 10, then find the difference between the numbers.
SSC Selection Post • 2022
A 70cm wide path is made around a circular garden having a diameter of 14 metres. What is the area of the path (in m²)?
SSC CHSL • 2024
Simplify the following expression. [40 - 48 ÷ 4 of 3] ÷ {(6 + 4) - 4 of 4 + 4 + (6 - 4) + (4 × 4) ÷ 4} × 3.
SSC Selection Post • 2023
A can complete a piece of work in 12 days while B can the same work in 18 days. If they both work together, then how many days will be required to finish the work?
SSC GD • 2023
Cost of four chairs is equal to cost of two tables. Cost of four tables is equal to cost of two boards and cost of four boards is equal to cost of two fans. If a fan costs ₹850, then the cost of a chair is:
SSC CHSL • 2024
The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60cm and height 10 cm is:
SSC CHSL • 2024
Express the following as decimals, respectively. 20%, 0.5%, 0.03%
SSC CGL • 2021
Study the following table and answer the question: Number of sutdents enrolled for Vocational Course (VC) in institutes A, B, C, D, E & F. [Table] The total number of students enrolled for VC in institutes B, C and E in 2015 is x% more than the total number…
SSC CGL • 2018
What is the value of cos[(180 - θ)/2] cos[(180 - 9θ)/2] + sin[(180 - 3θ)/2] sin[(180 - 13θ)/2] ?
SSC GD • 2023
Arun and Aditya can complete a work separately in 8 days and 12 days, respectively. After 2 days of working alone, Aditya leaves the work. In how many days will Arun complete the remaining work?
SSC GD • 2025
The population of a district is 372000, out of which 168000 are males. 20% of the population is literate. If 20% males are literate, then what percentage of females are literate?
SSC CGL • 2022
A is 25% more than B, and B is 40% less than C. If C is 20%, more than D, then A is what percentage less than D?
SSC Selection Post • 2023
A person covers 48 km at the speed of 8 km/h, 36 km at the speed of 18 km/h and 16km at the speed of 8 km/h. What is his average speed in covering the whole distance?
SSC CGL • 2020
In ΔPQR, PQ = 24 cm and ∠Q = 58ᵒ S and T are the points on side PQ and PR, respectively, such that ∠STR = 122ᵒ and If PS = 14 cm and PT = 12 cm, then the length of RT is :
SSC Selection Post • 2024
Find the simple interest on Rs. 15,000 at the rate of 7% p.a. for 3 years.
SSC GD • 2019
The price of two articles are in the ratio of 3 : 2 respectively. The price of first article is increased by 40% and the price of second article is decreased by x%. If the new ratio of the price of the two articles is 7 : 3 respectively, then what is the…
SSC Selection Post • 2022
P sold a camera to Q at 32% profit. However, Q sold it to R at a loss of 20%. If R paid ₹6,464 for the camera, what was the price (in ₹, to the nearest rupee) paid by P for it?
SSC GD • 2026
P got 25 percent less marks than Q. R got 40 percent less marks than Q. If sum of P, R and Q marks is 1410, then what is the difference between the marks of Q and R?
SSC CGL • 2022
During the first year, the population of the town increased by 12%. The next year, due to some contagious disease, it decreased by 8%. At the end of the second year, the population was 64,400. Find the population of the town at the beginning of the first year.
SSC Selection Post • 2022
A sum of ₹2,310 is divided between A, B, and C such that the ratio of the shares of B and C is 3 : 5 and the ratio of the shares of C and A is 4 : 9. What is the difference (in ₹) between the shares of A and C?
SSC Selection Post • 2022
A shopkeeper mixed two varieties of rice of prices Rs.36/kg and Rs.24/kg in the ratio of 1 : 2, respectively. He sold the mixture for Rs.2,100 to earn a profit of 25%.Find the quantity of rice of cost Rs.24/kg used in the mixture.
SSC CHSL • 2024
The average age of Ruby and Soni is 40 years. The ratio of their ages is 11 : 5 , respectively. What the age (in year) of Soni?
SSC CGL • 2025
In a circle, a chord AB is 12 cm long and is at a distance of 4 cm from the center. What is the radius of the circle?
SSC CHSL • 2022
A software company has only 3 divisions that have 20, 30 and 40 employees, respectively. If the working percentage of this during a weekend were 20%, 30% and 40%, respectively, then the working percentage of the entire company during that weekend was…
SSC GD • 2025
Evaluate: (-9) - (-60) ÷ (-15) + (-3) × 8
SSC CGL • 2022
A shopkeeper bought a table for Rs 4600 and a chair for Rs 1800. He sells the table with 10% gain and the chair with 6% gain. Find the overall gain percentage.
SSC GD • 2023
If a: b is 4 : 6 and b : c is 10 : 11, then c : a is :
SSC CHSL • 2025
From the top of a hill 240 metres high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in metres) between the height of the pole and its distance from the hill is:
SSC GD • 2023
A work can be finished by 10 men in 8 days and by 10 women in 7 days. In how many days will the work be finished if 10 women and 10 men work on alternate days, with the women starting on the first day?
SSC CHSL • 2025
A and B invested ₹10,000 and ₹15,000 respectively. If the business made a profit of ₹12,000, what is A’s share?
SSC MTS • 2022
Four years ago, Shyam's age was 3/4 times that of Ram. Four years hence, Shyam's age will be 5/6 times Ram's. What is their present age, Shyam?
SSC CGL • 2025
Rs. 1500 is lent out at 6 % per annum simple interest for 3 years. Find the amount after 3 years.
SSC Selection Post • 2023
The cost price of 15 apples is the same as the selling price of 12 apples. Find the percentage profit.
SSC GD • 2025
If the income of Ravi is 24% more than that of Ram, then by what percentage is the income of Ram less than that of Ravi?
SSC GD • 2023
How much interest would Sonia have to pay on a loan of Rs.25,000 at the rate of 12% p.a. compounded quarterly for the period of 1 year (rounded off to two decimal places)?
SSC CGL • 2023
To go a distance of 144 upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream?
SSC CGL • 2022
O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?
SSC CHSL • 2025
In a construction plan, a parallelogram-shaped metal plate has sides (3x - 2) cm and (x + 4) cm. If the perimeter is 48 cm, find x.
SSC GD • 2021
The average of the ages of a husband and his wife was 25 years at the time of their wedding. after 7 years they have a 2 years old child. What is the average age of the family at present?
SSC CHSL • 2025
Simplify: (112 / √196) × (√576 / 12) × (√256 / 8)
SSC GD • 2023
The marked price of a product is Rs. 1000. If it is sold at 7 percent discount and the dealer earns 50 percent profit, then what is the cost price of the product?
SSC CGL • 2025
A circle has radius 7 cm. A tangent is drawn from an external point P. If the length of the tangent is 24 cm, what is the distance from P to the center of the circle?
SSC CGL • 2023
In January 2022, Kriti paid an EMI of 22% of her monthly salary. She spent the remaining salary on groceries and clothes in a ratio 7: 5. She spent Rs. 18,200 on clothes shopping. If, in February 2022, her salary increased by 16%, then what was her salary…
SSC GD • 2025
A shopkeeper bought an article for ₹520. At what price (in ₹) should he sell the article to make 30% profit?
SSC GD • 2024
What is the value of 4200 ÷ 5 - 210 × 7 + 21 × 5?
SSC CGL • 2024
If cos24° = mover n , then the value of (cosec 24° − cos66°) is:
SSC CGL • 2022
The table given below shows the number of players participating in two games in six different schools? [Table] What is the ratio of total number of players participating in game A to the total number of players participating in game B?