Quantitative Aptitude PYQ — Page 470
24,303 questions across SSC exams.
SSC CPO • 2020
A person was standing on a road near a mall. He was 1215 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall…
SSC CPO • 2022
A hemispherical bowl whose radius is 21 cm is full of ice cream. Find the volume of the ice cream. (take π = 22/7 )
SSC CPO • 2022
Two trains A and B start running at 80 km/h and 82 km/h towards each other from two different stations. They meet after 1 hour and 30 minutes. How far were they from each other when they started?
SSC CPO • 2023
The difference between a discount of 30% on ₹5,000 and two successive discounts of 15% and 25% on the same amount is:
SSC CPO • 2019
The number of workers in the factory whose weekly earnings are Rs.5500 or more but less than Rs. 7500 is:
SSC CPO • 2025
The volume of a cylinder is the same as its total surface area. Given that the radius is 3 cm, determine the height of the cylinder.
SSC CPO • 2025
The volume of a right prism is 600 cm³ and its base area is 30 cm². Find its height.
SSC CPO • 2025
From a point 20 m above ground level on a vertical tower, the angle of depression of a point on the ground is 30°. Find the distance from the base of the tower to that point.
SSC CPO • 2023
The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.
SSC CPO • 2019
A tank is filled in 4 hours by three pipes A, B and C. The pipe C is twice as fast as B and pipe B is thrice as fast as A. How much time will pipe A alone take to fill the tank?
SSC CPO • 2019
A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x + 8) and (x + 18) days respectively. A and B together will complete 5/6 of the same work in:
SSC CPO • 2023
The ratio of boys and girls in a school of 720 students is 3 : 5. If 18 new girls are admitted, then how many new boys can be admitted in the school so that the ratio of boys and girls becomes 2 : 3?
SSC CPO • 2023
If a : b, b : 1 over c and c : d, then the relation between a and d is:
SSC CPO • 2024
Shiya invests ₹1,53,000, which is 30% of her annual income, in mutual funds. What is her monthly income (in ₹)?
SSC CPO • 2022
8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
SSC CPO • 2024
If the population of states A and D is 18,000 each, then what is the total number of females below the poverty line in these states?
SSC CPO • 2025
The principal is 1600, the interest rate is 8%, and the time is 5 years. What will be the simple interest?
SSC CPO • 2019
The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will be the ratio becomeif six is added to each?
SSC CPO • 2024
R reaches office from home in 30 minutes and comes back in 20 minutes. The distance to his office from home is 12.5 km. What is his average speed (in km/h) from home to office and then back home?
SSC CPO • 2023
A can do 1/5 of a piece of work in 20 days, B can do 30% of the same work in 36 days, while C can do 80% of the same work in 160 days. B and C together started and worked for x days. After x days B left the work, and A joined C and both completed the…
SSC CPO • 2019
The total daily sales of newspaper P in cities B, D, and E is what percentage less than that of newspaper Q in cities A, C, D, and E?
SSC CPO • 2025
The volume of a prism is 960 cm³. If its base area is 80 cm², by what percentage should the height be increased to make the volume 1200 cm³?
SSC CPO • 2022
Study the given graph and answer the question that follows. [Image] What is the difference between the production of Company C in 2015 and the production of Company B in 2018?
SSC CPO • 2019
The sides of a triangle are 8 cm, 15 cm, and 17 cm. At each of its vertices, circles of radius 3.5 cm are drawn. What is the area of the triangle excluding the portion covered by the sectors of the circles?
SSC CPO • 2022
Refer to the following table. Read the table and answer the question. Food grain Production in a country in 1999. (in lakh tons) [Image] What was the proportion of rice production to wheat production in the country?
SSC CPO • 2019
Solve the following (a + b + c) (ab + bc + ca) - abc = ?
SSC CPO • 2020
PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 128°, then ∠OAB is equal to :
SSC CPO • 2024
Simplify the given expression. 4 × 5 ÷ 4 of 5 × 4 ÷ ( 6 + 6 × 6 ÷ 6 of 6 - 6 ÷ 6 × 6 )
SSC CPO • 2024
Study the given table and answer the question that follows. The table shows the production of five different types of cars by a company from 1989 to 1994. [Table] In which year was the production of cars of all types taken together. approximately equal to…
SSC CPO • 2022
8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
SSC CPO • 2023
In a ΔPQR,∠P : ∠Q : ∠R = 3 ∶ 4 ∶ 8. The shortest side and the longest side of the triangle, respectively, are:
SSC CPO • 2022
Find the least value of (A + B) if the number 27B58A4 is completely divisible by 88.
SSC CPO • 2020
The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is :
SSC CPO • 2019
The sides AB, BC and AC of a ΔABC are 12 cm, 8 cm and 10 cm respectively. A circle is inscribed in the triangle touching AB, BC and AC at D, E and F, respectively. The difference between the lengths of AD and CE is:
SSC CPO • 2020
The length of the shadow of a vertical pole on the ground is 18 m. If the angle of elevation of the sun at that time is θ, such that cosθ = 12/13 , then what is the height ( inm ) of the pole ?
SSC CPO • 2023
Two numbers are in the ratio 12 : 7. If their HCF is 25, find the numbers.
SSC CPO • 2024
Simplify the following. 2\ 3+3(1over4 ÷ 15over20+2)-18×1over3 \over 2(4+20÷4)
SSC CPO • 2024
Simplify the given expression: 25 ÷ 5 × 7 of (5 + 7) - 13(6 × 4).
SSC CPO • 2024
Find the value of [{(82 + 48 ÷ 8 × 3) + 5 × 6 } – 7.5 × 2].
SSC CPO • 2020
A number is first increased by 40% and then decreased by 25% again increased by 15% and then decreased by 20%. What is the net increase/decrease percent in the number?
SSC CPO • 2024
The value of 7 \ +\ 8\ ×\ 8\ ÷\ 8\ of\ 8\ +\ 8\ ÷\ 8\ ×\ 5over4\ ÷\ 4\ of\ 4\ +\ 4\ ×\ 4\ ÷\ 4\ -\ 4\ ÷\ 4 is::
SSC CPO • 2019
A shopkeeper sold two articles for Rs. 9831 each. On one, he gained 13% and on the other, he lost 13%. What is the overall percentage gain or loss?
SSC CPO • 2022
A can complete a work in 8 days and B can complete the same work in 11 days. How long will they take, if both work together?
SSC CPO • 2023
A fast local of Mumbai takes 60 minutes less than a slow local for a journey of 200 km. If the speed of the fast local is 10 km/h more than that of the slow local, find the speed (in km/h) of the slow local train.
SSC CPO • 2024
The table below shows the number of mobile phones that were sold by the show rooms in the years from 2016-2020. [Table] What will be the average number of mobile phones sold by all the show rooms in the year 2020.
SSC CPO • 2020
The partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capital for 7 months, 8 months, and 14 months, respectively. What was the ratio of their capitals?
SSC CPO • 2025
If the lengths of the diagonals of a rhombus are 12 cm and 16 cm, what is its area?
SSC CPO • 2024
Study the given table and answer the question that follows. The table shows the production of five different types of cars by a company from 1989 to 1994. [Table] Which type of car constituted 25% of the total production of all types of cars in 1993?
SSC CPO • 2024
If sin⁴θ + cos⁴θ = 2sin²θcos²θ , 0°<θ<90° then find the value of cotθ.
SSC CPO • 2024
In a class, there are 60 students. The average weight of the entire class is 42 kg. If there are 36 boys in the class and the average weight of all the boys is 50 kg, then what is the average weight (in kg) of all the girls?