Quantitative Aptitude PYQ — Page 314
24,303 questions across SSC exams.
SSC CHSL • 2022
Simplify [Image]
SSC CGL • 2025
A television set has a marked price of ₹20,000. It is sold after two successive discounts. If the first discount is 15% and the final selling price is ₹15,300, what is the percentage of the second discount?
SSC CGL • 2023
Study the given graph carefully and answer the question that follows. [Image] The decrease in imports in 1971 was what percentage of the imports in 1970 (rounded off to the nearest integer)?
SSC CHSL • 2025
AB is a chord in the minor segment of a circle with centre O. C is a point on the minor arc (between A and B). The tangents to the circle at A and B meet at a point P. If ∠ACB = 108°, then ∠APB is equal to:
SSC MTS • 2022
What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad, and 20 feet high?
SSC CHSL • 2021
A train travels at a speed of 66 km/h and halts at five junctions for a certain time. It covers a distance of 1485 km/h in one day. For how long (in minutes) does the train stop at each junctions, if it halts for the same period of time at all the junctions?
SSC MTS • 2022
The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
SSC CHSL • 2025
A and B can complete a work in 6 days together. If A alone can do it in 12 days, how many days will B alone take?
SSC CGL • 2019
If x = 2 – p, then x³+ 6xp + p³is equal to:
SSC CGL • 2024
The side BC of ∆ABC is produced to a point D. If AC = BC and ∠BAC = 70°, then find the value of 2.5∠ACD − 1.5∠ABC.
SSC CHSL • 2025
Find the least number which when divided by 20, 25, 35, and 40 leaves remainders 14, 19, 29, and 34 respectively.
SSC CHSL • 2023
The third proportion of 1.8 and 9 is:
SSC CHSL • 2024
A number is divisible by 11 if and only if the difference of the sum of the digits in the even and odd positions in the number is:
SSC CGL • 2023
If x + 1 over x = 3 √(2) , and x > 1, what is the value of (x⁸ - 1 over x⁸ ) ?
SSC CGL • 2019
The table shows the production of different types of cars (in thousands). [Table] The total production of all type of cars, except type B, in 2012 is what percent less than the total production of all types of cars in 2016?
SSC Selection Post • 2023
The mean weight of 32 students in a school is 50 kg. If the weight of the teacher be included, the mean rises by 500 grams. Find the weight of the teacher.
SSC CHSL • 2022
The ratio of the distances Ravina and Suhel had to travel from their respective houses to their workplaces was 4 : 7. If Suhel had to travel 63 km, how much did Ravina have to travel?
SSC CGL • 2024
The speed of a boat in still water is 18 km/h and the speed of the stream is 3 km/h. How much time (in hours) will it take to cover a distance of 105 km downstream and come back?
SSC CHSL • 2025
Average of first 10 odd numbers is:
SSC CGL • 2024
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
SSC Selection Post • 2022
What will be the cost of polishing the curved surface area of a solid cylinder at a rate of ₹28 per sq m, if it has a diameter of 70 cm and a height of 7 m? (Use π =22 over 7 )
SSC CHSL • 2025
A mixture of 75 litres contains milk and water in the ratio 2:1. How much more water should be added to the mixture to make the ratio of milk to water 1:2?
SSC CGL • 2025
An item is marked at ₹150, A customer gets a 10% discount on it. If the seller still makes a profit of 25%, what is the cost price of the item?
SSC CGL • 2025
The ratio of the profit to the cost price of a product is 3 : 8. What is the ratio of its selling price to its profit?
SSC CHSL • 2025
A satellite has solar panels shaped as regular polygons with 9 sides. What is the total of all internal angles?
SSC CHSL • 2025
A container holds 70 litres of a milk water mixture in which water makes up 10% of the total. How many litres of pure water should be added so that the proportion of water in the mixture increases to 25%?
SSC CHSL • 2025
Aman and Binoy enter into a partnership with capitals in the ratio 4:5. If the total profit is Rs 9,000, what will Aman's share be?
SSC GD • 2019
A person buys 25 kg of rice for Rs. 600 and sells them at a loss equal to the selling price of 5 kg rice. What will be the loss percentage?
SSC Selection Post • 2020
At what rate per annum will a sum of ₹15,800 become ₹21,488 after 18 months, at simple interest?
SSC CGL • 2018
Two businessmen A and B invest in a business in the ratio 5 : 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs 87,500 then how much…
SSC Selection Post • 2023
A class of 40 students took a mathematics test. 18 students had an average score of 75. The other students had an average score of 62. What is the average score of the entire class?
SSC CGL • 2024
For what value of k, the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 has an infinite number of solutions?
SSC CGL • 2024
If x²+ 7x + 8 = 0, then find the value of 4x/(x² - 5x + 8) .
SSC MTS • 2022
In an election between 2 candidates, the winning candidate got 55% of the valid votes. 5% of the total votes were invalid. If the total number of votes polled were 10000, then how many votes were obtained by the losing candidate?
SSC CHSL • 2023
The lengths of the two sides of a triangle are 14 cm and 9 cm. Which of the options below can be the length of the third side?
SSC CGL • 2025
The average score of a batsman in 20 innings is 42. If his highest score of 120 is excluded, what is the new average?
SSC CHSL • 2023
The following bar graph indicates the sales of various items in a shop for one day. Study the bar graph carefully and answer the question that follows [Image] Find the ratio between the sale of wheat and rice and also the ratio between the sale of sugar and…
SSC CHSL • 2025
The number of chords that can be drawn through a point on a circle is:
SSC CHSL • 2021
If secθ = 65/63 and θ is an acute angle, then the value of 8(cosecθ - cotθ) is:
SSC CGL • 2020
A shopkeeper bought 20 kg of rice at Rs 55 per kg, 25 kg of rice at Rs 50 per kg, and 35 kg of rice at Rs 60 per kg. he spent a sum of Rs 150 on transportation. He mixed all the three types of rice and sold all the stock at Rs 62.56 per kg. His profit…
SSC CGL • 2019
In a circle with centre O, an arc ABC subtends an angle of 140° at the centre of the circle. The chord AB is produced to point P. Then ∠CBP is equal to?
SSC CGL • 2023
What is the value of tan (θ)/2?
SSC Selection Post • 2022
If cos²θ-sin²θ-3cosθ+2=0,0⁰ then what is the value of 1 +5cosθ+tanθ over 2?
SSC GD • 2021
The average score of a group of students in a test is 58. The Average score of the brightest 15% of the students is 85 and that of the poorest 20% of the students is 28. What is the average score of the remaining students?
SSC Selection Post • 2020
P alone can complete a piece of work in 12 days, and Q can complete the same work in 18 days. With the help of R, all three finish the work in 6 days. In how many days can R alone complete the work?
SSC CGL • 2022
Three partners X, Y, and Z started their business by investing Rs 40,000, Rs 38,000, and Rs 30,000, respectively. After 6 months, X and Z made additional investments of Rs 20,000 and Rs 15,000 respectively, whereas Y withdrew Rs 8,000. Find the share of Y…
SSC MTS • 2022
Geeta bought a bag for ₹1,000 and spent ₹300 on fixing the defects in the bag. Later, she sold it for ₹1,508. What is the percentage of profit that Geeta earned through the sale?
SSC CHSL • 2021
Given that (2x + y)³ - (x + 2y)³ = (x - y)[A(x²+ y²)+Bxy], the value of (2A - B) is:
SSC CHSL • 2025
If x - y = 7 and xy = 60, then what is the value of x² + y²?
SSC Selection Post • 2023
S sold his phone for Rs. 15,500, which he had bought for Rs. 12,000. What was his percentage profit?