Quantitative Aptitude PYQ — Page 443
24,303 questions across SSC exams.
SSC CPO • 2025
A mixture contains 36 litres of milk and water in the ratio 2:1. How much water must be added to make the ratio 1:1?
SSC CPO • 2024
[Table] In city A, the number of students in Medicine is nearly what percentage of MBA?
SSC CPO • 2022
In ΔABC, DE ∥ BC in such a way that A-D-B and A-E-C. If m∠ACB = 40°, then m∠DAE + m∠ADE = _____.
SSC CPO • 2023
If the difference between the selling prices of an article at profits of 10% and 7% is ₹6, then the cost price (in ₹) of the article is:
SSC CPO • 2019
The average of 19 numbers is 22.8. The average of the first ten numbers is 18.4 and that of the last ten numbers is 28.6. If the 10^(th) number is excluded from the given numbers, then what is the average of the remaining numbers? (answer should be nearest…
SSC CPO • 2025
If the total surface area of a solid sphere is 262 cm², find its radius.
SSC CPO • 2019
A can do [Image] of a work in 12 days while B can do [Image] of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:
SSC CPO • 2022
Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?
SSC CPO • 2024
In triangle ABC, AB = AC and ∠A = 70°. Find the value of ∠C.
SSC CPO • 2022
Which of the following is the lowest ratio?
SSC CPO • 2019
If 3 + cos²θ = 3(cot²θ + sin²θ), 0° < θ < 90°, then what is the value of (cosθ + 2sinθ)?
SSC CPO • 2025
A student scored 75% marks in an exam of 600 marks.How many marks did the student obtain?
SSC CPO • 2019
A, B and C are partners in a business. A, whose capital has been used for 5 months, claims 1/7 of the profit. B whose capital has been used for 7 months, claims 1/5 of the profit. C has invested Rs.4,600 for 9 months. How much capital did A contribute?
SSC CPO • 2019
The height of the right circular cone is 35cm and the area of the curved surface is four times the area of its base. What is the volume of the cone (10-3 m³ and correct up to the three decimal place)
SSC CPO • 2023
Rajesh invested ₹10,000 by dividing it into two different investment schemes, A and B, at simple interest rates of 8% and 10%, respectively. If the total interest earned in 2 years is ₹1,680, the amount invested in scheme A is:
SSC CPO • 2024
Study the given table and answer the question that follows. The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022 - 2013. [Table] What was the average number of students in Science…
SSC CPO • 2020
In ΔABC,D is the median from A to BC.AB = 6cm, AC = 8cm, and BC = 10cm. The length of median AD (in cm) is:
SSC CPO • 2025
If the radii of two spheres have a ratio of 4:3, What is the ratio of their surface areas?
SSC CPO • 2023
Study the given table chart carefully and answer the question that follows. The given table represents the number of employees in five different organisations, i.e., A, B, C, D and E in 2019, 2020, 2021 and 2022. [Table] The ratio of the number of employees…
SSC CPO • 2020
One side of a rhombus is 13 cm and one of its diagonals is 24 cm. What is the area (in cm²) of the rhombus?
SSC CPO • 2025
In a town, 20% of the population migrated to another city. Later, 25% of the remaining population left due to lack of jobs. If the final population is 48,000, what was the original population?
SSC CPO • 2024
Taking any three of the line segments out of segments of length 2 cm, 5 cm, 7 cm and 8 cm, the number of triangles that can be formed is:
SSC CPO • 2023
Study the given table and answer the question that follows. The table shows the number of pages printed by four printers in three days. [Table] What is the respective ratio between total number of pages printed by printer D on Friday and Sunday together and…
SSC CPO • 2020
Sunita invested Rs 12,000 on simple interest at the rate of 10% p.a. to obtain a total amount of Rs 20,400 after a certain period. For how many years did she invest to obtain the above amount?
SSC CPO • 2022
At a construction site, Raju can paint a wall in 36 hours, while Angad can do the same work in 18 hours. Sumit can paint the same wall in 24 hours. In how much time can they paint the wall if they all work together?
SSC CPO • 2022
Which of the following is the lowest ratio?
SSC CPO • 2023
A shopkeeper sells sugar at ₹40 per kg, which he purchased at ₹36 per kg. His weighing machine is faulty and it weighs only 800 gm while selling. His percentage profit (correct to 2 decimal places) is:
SSC CPO • 2024
In an election, the winner was supported by 46% of all the voters in the list, and he got 410 votes more than his only rival. 10% of the voters on the voters’ list did not cast their votes, and 60 voters cast their ballot papers blank. How many voters were…
SSC CPO • 2023
The value of √(())/(1 + sin A)1 - sin A is:
SSC CPO • 2019
If 45 persons can complete a work in 18 days, working 8 hours a day, then how many persons are required to complete two-thirds of the same work in 20 days, working 9 hours a day?
SSC CPO • 2023
Study the given pie-chart and answer the queistion that follows. The pie-chart shows the number of students (boys and girls) studying in standard 10 of various schools (X, Y, Z in the year 2022). [Image] What is the difference between the total number of…
SSC CPO • 2025
A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm. What is the minimum number of such square pieces required to cover the entire surface of the box?
SSC CPO • 2022
Two trains 121m and 99m in length, respectively, are running in opposite directions, one at a speed of 40 km/h and the other at a speed of 32 km/h. In what time will they be completely clear of each other from the moment they meet?
SSC CPO • 2022
If cos A = sin² A, and a sin¹² A + b sin¹⁰A + c sin⁸ A + sin⁶ A = 1, then a + b + c = ?
SSC CPO • 2019
A, B, and C started a business by investing Rs. 55,000, Rs. 65,000, and Rs. 75,000 respectively. A is a working partner and gets 20% of the profit as working allowance and the remaining is distributed in the proportion of their investment. If the money…
SSC CPO • 2024
The fourth proportional to 4, a, and 16a is 81. What is the value of a?
SSC CPO • 2024
In a sweet, one third is suger if the price of suger now is 7/6 of the previous price. what is the effective percentage increase in the cost of the sweet?
SSC CPO • 2023
Simplify the given expression. ((3.254times3.254times3.254)-(0.746times0.746times0.746))/((3.254times3.254)+(0.746times0.746)+(3.254times0.746))
SSC CPO • 2020
The value of 3 1/3 ÷ 2 1/2 of 1 3/5 + ( 3/8 + 1/7 x 1 3/4 ) is :
SSC CPO • 2024
S drives his car and covers 37 km and 500 m in 90 minutes. What is his average speed (in km/h)?
SSC CPO • 2019
If 60% of the total number of students obtaining 50 marks or more but less than 70 marks are girls and 55% of the total number of students obtaining 70 marks or more but less than 90 marks and also girls then the total number of girls obtaining 50 marks or…
SSC CPO • 2020
Five bells ring together at the intervals of 3, 5, 8 , 9 and 10 seconds . All the bells ring simultaneously at the same time. They will again ring simultaneously after:
SSC CPO • 2022
A grocer sells rice at 10% profit and uses weights which are 20% less than the market weight. The total gain earned by him is:
SSC CPO • 2023
Mihir buys a book for ₹625. However, because of a certain urgency, he sells it for ₹550. Find his loss percentage.
SSC CPO • 2019
The marked price of an article is Rs. 800. A retailer buys it for Rs. 540 after getting two successive discounts. The first discount is 25%. What is the second discount?
SSC CPO • 2022
The price of a bat and a ball are in the ratio 9 : 5. The price of the bat is Rs.380 more than the price of the ball. Find the price of the ball. .
SSC CPO • 2024
In an election between P, R, and S, 1/10 of the total votes polled are invalid. Votes polled in favor of R and S are half of the total votes polled, and they get equal votes. Due to a fault in the machine, half of the votes of S and half of the invalid votes…
SSC CPO • 2020
A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at points R, P and Q, respectively. If AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm, then the perimeter (in cm) of the triangle △ABC is:
SSC CPO • 2019
The compound interest amounts on a certain sum at a certain rate percentage p.a. for the second year and third year me 3,300 and 3,630, respectively. What is the amount of the same sum at the same rate in 2½ years, interest compunded yearly?
SSC CPO • 2023
The value of 2tan² 45° + cos² 30° - sin² 60° is: