Quantitative Aptitude PYQ — Page 480
24,303 questions across SSC exams.
SSC CPO • 2019
Three pipes, A, B, C can fill an empty cistern in 2, 3 and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly 1 hr 15 min?
SSC CPO • 2025
A rectangular garden measures 50 meters in length and 30 meters in width. If fencing costs ₹200 per meter, what is the total cost to fence the entire perimeter of this garden?
SSC CPO • 2019
If 3(cot²Ø - cos²Ø) = 1 - sin²Ø, 0º < Ø < 90º, then Ø is equal to:
SSC CPO • 2020
Three successive discounts 22%, 17%, and 11% are equivalent to a single discount of :
SSC CPO • 2019
When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is x. What is the value of [Image] ?
SSC CPO • 2020
On the marked price of an article,the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995.The marked price of the article(in Rs) is:
SSC CPO • 2019
A sum of Rs. 5000 amounts to Rs. 7200 in 8 years at a certain rate p.a. interest compounded yearly. What will be the compound interest on a sum of Rs. 6550 in 4 years at the same rate of interest?
SSC CPO • 2023
What is the central angle corresponding to the expenditure spent on Education?
SSC CPO • 2025
For a triangle with vertices A(0, 0), B(5, 0), and C(0, 10), where is its Orthocenter located?
SSC CPO • 2023
A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours, and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the…
SSC CPO • 2024
If 2a + 2b + c = 0, then find the value of (4a² + 4b² + 4c²)/(5c² - 8ab) .
SSC CPO • 2024
The following table shows the number of teachers in four colleges (male and female) and the percentage of trained teachers among them. [Table] What is the total number of non-trained male teachers in College A and non-trained female teachers in College B?
SSC CPO • 2023
If the total income of the family was Rs 1,00,000, how much money (in Rs) was spent on the education of the children?
SSC CPO • 2024
A man travels 1200 km by train at 80 km/h, 1600 km by ship at 40 km/h, 1000 km by plane at 400 km/h, and 200 km by car at 50 km/h. What is the average speed for the entire distance? (rounded off to 2 decimal places)
SSC CPO • 2019
If √(0.00576 × y) = 2.4, then y is equal to
SSC CPO • 2023
P and Q can do a work together in 30 days. Q and R can do the same work together in 24 days and R and P can do it together in 20 days. They started the work together, but Q and R left after 10 days. How many more days will P take to finish the remaining work?
SSC CPO • 2023
Study the given table and answer the question that follows. The table shows the percentage population of four states below poverty line and proportion of male to female. [Table] If the total population of state R is 26,000, then what is the number of females…
SSC CPO • 2020
The speed of a boat in still water is 15 km/h, and the speed of the current is 5 km/h . In how much time ( in hours) will the boat travel a distance of 60 km upstream and the same distance downstream ?
SSC CPO • 2025
The volume of a solid hemisphere is 396/7 cubic cm. Find the total surface area of the hemisphere.
SSC CPO • 2024
Find the central angle for the book in store S.
SSC CPO • 2025
In triangle XYZ, a line is drawn parallel to YZ intersecting XZ at A and XY at B. If XA=2cm, AZ=6cm, and XB=3cm, find BY.
SSC CPO • 2023
A conical-shaped vessel has a radius of 21 cm and a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in ₹) of painting at the rate of ₹1.5 per cm² .
SSC CPO • 2025
55³ + 17³ − 72³ + 201960 is equal to:
SSC CPO • 2019
A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles of elevation of the top of the pole at P, Q are a, B respectively. Then the height of the pole is:
SSC CPO • 2019
What is the ratio of students of A and B in the combine strength from 2016 to 2018?
SSC CPO • 2024
Simplify the given expression. 12.3 − [ 7 + 0.8 of (5.6 − 3.8 × 1.03 )]
SSC CPO • 2022
If sin²Θ = cos³Θ, then the value of (cot²Θ - cot⁶Θ) is:
SSC CPO • 2025
A, B and C can do a piece of work in 20, 30 and 50 days, respectively. In how many days can A do the work, if he is assisted by B and C on every second day?
SSC CPO • 2020
A's salary is 35% more than B's salary.How much percent is B's salary less than that of A's ? ( correct to the nearest integer)
SSC CPO • 2025
Find the coordinates of the centroid for a triangle with vertices located at the points (2, 1), (5, 4), and (8, 1).
SSC CPO • 2019
Two times A’s salary is five-time of B’s salary and four times B’s salary is twice C’s salary. What is A’s salary if C’s salary is 1,600?
SSC CPO • 2024
A shopkeeper offers a discount of 24 % on the marked price. On a special sale day, he offers an extra 30% off coupon after the first discount. If the article was sold for ₹ 7700.70. what is the marked price of the article?
SSC CPO • 2022
The following bar diagram shows the number of students who opted for the different subjects in the year 2020 and 2021. [Image] What is the sum of the total number of students who opted for different subjects in 2020 and only Geography in 2021?
SSC CPO • 2024
Simplify the given expression: [{9 × 81 + (142 ÷ 2)} + 350 - 155 + 5 ] ÷ [(25 × 25) - 125]
SSC CPO • 2023
If sin A = √(3) over 2 ,then find the value of 2 (cosec A + cot A).
SSC CPO • 2022
The total surface area of a solid metallic hemisphere is 462 cm². This is melted and molded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use π = 22/7)
SSC CPO • 2023
The curved surface area of a solid cylinder of height 15 cm is 660 cm². What is the volume (in cm³) of the cylinder? (Take ^π= 22/7 )
SSC CPO • 2019
If (2x – 5y)³ – (2x + 5y)³ = y [Ax² + By²], then what is the value of (2A – B)?
SSC CPO • 2025
A and B together can do a piece of work in 20 days. A worked for 15 days and left. B finished the remaining work alone in 42 days. In how many days can B finish the whole work alone?
SSC CPO • 2025
If the total surface area of a hemisphere is 462 cm², calculate its radius.
SSC CPO • 2022
Geeta runs 5/2 times as fast as Babita. In a race, if Geeta gives a lead of 40 m to Babita, find the distance from the starting point where both of them will meet (correct up to two decimal places).
SSC CPO • 2024
A man borrowed ₹29,000 for 3 years and ₹45,000 for 5 years at the same rate of simple interest. If he paid a total interest of ₹62,400, then what was the rate of interest?
SSC CPO • 2019
In ΔABC, ∠A = 90º, AB = 16 cm and AC = 12 cm. D is the midpoint of AC and DE ⊥ CB at E. What is the area (in cm²) of ΔCDE?
SSC CPO • 2019
The value of [Image] is ......
SSC CPO • 2023
The value of a washing machine depreciated from ₹40,960 to ₹21,970 in 3 years. Find the yearly rate of depreciation.
SSC CPO • 2023
In a ∆PQR and ∆ ABC, ∠P = ∠A and AC = PR. Which of the following conditions is true for triangle PQR and ABC to be congruent?
SSC CPO • 2024
The following table shows the gross turnover (in crores) of a company over 5 years. [Table] By what percentage is the gross turnover of 2020 higher than the gross turnover of 2018?
SSC CPO • 2022
If the total contribution by these investors is 100%, then what is the percentage contribution of Rakesh in the corpus fund?
SSC CPO • 2023
A sum of money amounts to ₹1,200 in 2 years and becomes ₹1,260 in 3 years at compound interest, when interest is compounded annually. What is the rate of compound interest per annum?
SSC CPO • 2025
The base of a right prism is a regular hexagon with a side length of 6 centimeters. The height of the prism is 1/√3 centimeters. Find the volume of the prism.