Quantitative Aptitude PYQ — Page 320
24,303 questions across SSC exams.
SSC Selection Post • 2022
If the number 756534P57Q is divisible by 72, then find the value of 2P + Q.
SSC CGL • 2022
If K + 1/K = 3, then what is the value of K³+ 1/K³?
SSC CGL • 2016
Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is
SSC CGL • 2025
A hemisphere of radius 5 cm is carved from a sphere. What is the volume of the hemisphere?
SSC Selection Post • 2024
Working separately, A and B can complete a work in 15 days and 18 days, respectively. If A starts the work and they work on alternate days, one on each day, then in how many days will the work be completed?
SSC Selection Post • 2022
A race track is in the shape of a ring whose inner and outer circumferences are 880 m and 1012 m, respectively. What is the area (in m²) of the track? (Take π = 22 over 7 )
SSC CGL • 2025
A triangular window has dimensions such that its area is 45% of a square window of area 200 m². If its base is 10 m, find its height.
SSC GD • 2019
The average marks of 42 students in an examination, was 64. Later it was found that the marks of three students were misread as 72, 58 and 44 instead of the actual marks 64, 42 and 26 respectively. What is the correct average marks?
SSC Selection Post • 2020
A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)?
SSC Selection Post • 2023
If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution?
SSC CHSL • 2024
The salaries of T in twelve months of a year are: ₹12,000, ₹12,000, ₹12,000, ₹15,000, ₹15,000, ₹15,000, ₹21,000, ₹21,000, ₹21,000, ₹30,000, ₹30,000, ₹30,000. The average salary of T per month in ₹ is ___.
SSC Selection Post • 2023
Anita and Anand can complete the work in 12 days and 18 days, respectively. They undertook to complete that work for ₹48,000. With the help of Arun, they completed the work in 6 days. Find the sum of the shares of Anita and Anand (in ₹).
SSC Selection Post • 2022
Let Δ ABC ~ ΔPQR and ar(bigtriangleup ABC) over ar(bigtriangleup QPR) = 25 over 169 . If AB = 15 cm, BC = 7 cm, and AC = 8 cm, then PQ (in cm) is equal to:
SSC CHSL • 2025
A circle has a chord AB of length 16 cm. The tangent drawn at point A is parallel to the tangent drawn at point B. Find the diameter of the circle.
SSC CGL • 2019
The average of thirteen numbers is 80. The average of the first five numbers is 74.5 and that of the next five numbers is 82.5. The 11^(th) number is 6 more than the 12^(th) number and 12^(th) number is 6 less than the 13^(th) number. What is the average of…
SSC CHSL • 2024
Two cubes have their volumes in the ratio 1 : 125. Find the ratio of their surface areas.
SSC CGL • 2020
If in 13 years fixed sum doubles at simple interest, what will be the interest rate per year? (correct to two decimal places)
SSC CHSL • 2020
A car travels 105 km in 3 hours and a train travels 252 km in 4 hours. The ratio of speed of the car to that of the train is:
SSC CHSL • 2020
Study the following graph and answer the question. [Image] In which year was the value per tonne the minimum?
SSC CHSL • 2024
A shopkeeper marks up his goods 32% above the cost price and gives a discount of 21% on the marked price. Find his gain percentage on the goods.
SSC Selection Post • 2023
In a grocery shop, Samarth sold 950 g of sugar to a customer in place of 1 kg for ₹54. The cost price of 1 kg sugar was ₹36. How much profit (in ₹) did he earn on selling the sugar?
SSC CHSL • 2021
The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group B is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 personsof group…
SSC CGL • 2021
In a class, the ratio of rural to urban students is 4 : 7. In the examination, the average percentage marks of the rural and the urban students are respectively 65 and 63. What is the overall percentage marks of the class (correct to two decimal places)?
SSC CGL • 2025
A student scored 80% in one subject and 60% in another. Both subjects have equal maximum marks. What is the overall percentage?
SSC CHSL • 2025
A container can hold 50 liters of milk. First, 5 liters of milk are removed and the same amount of water is poured in to refill the container. The mixture is then thoroughly stirred. This entire process of removing 5 liters of liquid and replacing it with…
SSC CGL • 2024
The given pie chart shows the annual agricultural production (in tonnes) in a region. The total production is 8600 tonnes. [Image] What is the annual production of rice in the region?
SSC CHSL • 2020
Study the given bar chart and answer the question that follows. Production of Fertilizers by a Company (in 10,000 tonnes) Over the Years [Image] What was the approximate percentage increase in the production of fertilizers from 1998 to 1999?
SSC CGL • 2023
In what ratio must water be mixed with milk, costing ₹32 per litre, in order to get a mixture costing ₹28 per litre?
SSC GD • 2021
If P is 220% of Q, then the percentage of P + Q will Q be?
SSC CGL • 2025
A shopkeeper marked an item 50% above its cost price. He then offered two successive discounts of 10% and 20% to a customer, if he made a profit of ₹80, at what price did he sell the item to that customer?
SSC CHSL • 2021
In ∆ ABC, DE ‖ AB, where D and E are points on sides AC and BC, respectively. F is a point between C and D such that EF ‖ BD. If AD = 15 cm, DC = 10 cm, then the length of CF is:
SSC CHSL • 2024
A bus driver must complete a 240 km trip in 4 hours. If he averages 70 km an hour for the first 3 hours of his trip, how fast must he travel (in km/h) in the last/final hour?
SSC CGL • 2020
The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:
SSC Selection Post • 2022
The salary of a typist was first raised by 20% and then the same was reduced by 15%. If the typist presently draws Rs.1,224, what was his/her original salary?
SSC MTS • 2022
The profit earned when a painting is sold for ₹1,200 is 15 times the loss incurred when it is sold for ₹240. At what price should the painting be sold to make a profit of 40%?
SSC GD • 2019
A train passes the platform in 18 seconds and a man standing on the platform in 8 seconds. If the length of the train is 100 metres. Find the length of the platform.
SSC CHSL • 2025
A large wooden block of size 60 cm × 40 cm × 20 cm is cut into smaller cuboidal blocks of size 10 cm × 10 cm × 10 cm. How many small blocks are obtained?
SSC Selection Post • 2020
A sum amounts to ₹6,050 in 2 years and to ₹6,655 in 3 years at a certain rate percentage p.a. when the interest is compounded yearly. What is the simple interest on a sum of ₹6,000 at the same rate for 5 3over4 years?
SSC Selection Post • 2022
What is the value of x/y if (x - 5y)/(x + 5y) = 7/8
SSC CGL • 2022
A ladder of length 3.5m just reaches the top of a wall. If the ladder makes an angle of 60° with the wall, then what is the height of the wall (in m)?
SSC Selection Post • 2022
A person buys a ceiling fan for ₹1,600 and sells it at a loss of 18%. What is the selling price of the ceiling fan?
SSC CHSL • 2023
Study the given pie-chart and answer the question that follows. Percentage-wise distribution of teachers in six different subjects in a school is given in the pie-chart. The total number of teachers is 600. The ratio of male and female teachers is 3: 1…
SSC CGL • 2025
A box has 120 pencils in red, blue, and black in the ratio 2 : 3 : 5. If 10 red and 20 black pencils are removed, what is the new ratio of red to black pencils?
SSC CHSL • 2021
If x - 1/x=2√(2) , then what will be the value of x³ - 1/(x³) ?
SSC CGL • 2023
Observe the given figure. The distance between the two centers AB is [Image]
SSC CGL • 2022
What will be the value of sin 10° – 4/3 sin³ 10°?
SSC CGL • 2020
In the given figure, if ∠APO = 35ᵒ, then which of the following options is correct? [Image]
SSC CHSL • 2025
If the radius of a sphere is increased by 20 percent, by what percentage will its volume increase?
SSC CGL • 2024
Two pipes P and Q can fill a tank in 36 minutes and 45 minutes, respectively. If both pipes are opened together, the time taken to fill the tank is:
SSC MTS • 2022
What should come in place of the question mark (?) in the following mathematical statement? ?³ ÷ 16 = 108