Quantitative Aptitude PYQ — Page 207
24,303 questions across SSC exams.
SSC CGL • 2021
The radii of two concentric circles are 12 cm and 13 cm. AB is a diameter of the bigger circle. BD is a tangent to a smaller circle touching it at D. Find the length (in cm) of AD? (correct to one decimal place)
SSC CGL • 2022
The pie chart given below shows the expenditure incurred by a person on 7 articles. The total expenditure of all these 7 articles are 3600. Expenditure incurred on a particular article is shown in terms of degree with respect to the total expenditure…
SSC CHSL • 2025
If the average of 14 consecutive even numbers is 107, find the smallest number.
SSC CGL • 2019
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SSC Selection Post • 2022
A man walking at three-fourths of his usual speed reached his office 4 minutes late. How much time (in minutes) does he usually take to reach his office?
SSC CGL • 2025
The angle of a sector is (π)/4 radians, and the radius of the circle is 8 cm. What is the area of the sector?
SSC CGL • 2022
Study the given table and answer the question that follows. The table shows the number of donuts sold by three different stores in five different months. [Image] What is the ratio of the total number of donuts sold by stores P and R together in October to…
SSC CHSL • 2024
A’s income is equal to 125% of the income of B, while B’s savings are 120% of the savings of A. If the expenditure of B is 75% of the expenditure of A, then how much are B’s savings as a percentage of her expenditure?
SSC CHSL • 2025
Which of the following set can never form the sides of a triangle?
SSC Selection Post • 2024
By selling a mobile phone for ₹23,856, Ramesh gains 20%. If he sells it for ₹20,580, find his gain or loss percentage (correct to two places of decimals).
SSC GD • 2023
A company offers different types of discounts schemes. (i) Two successive discounts of 10% and 20% (ii) Buy 1 get 1 free (iii) Buy 5 get 3 free (iv) Buy 5 get 6 Which scheme has the minimum discount percentage?
SSC MTS • 2022
A solid metallic sphere of radius 9 cm is melted and recast into a wire of radius 2 cm. What is the length of the wire?
SSC CHSL • 2020
If in the given figure, ∠ACB + ∠BAC = 80ᵒ; ∠BDE = 35ᵒ; ∠BCE = 45ᵒ , then the marked angle ∠CED is: [Image]
SSC CGL • 2020
The following table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the table and answer the question that follow. [Table] The percentage of increase(per kg) in the rate of…
SSC GD • 2023
The average age of 14 students and their teacher is 20 years. If the teacher is excluded, then their average age is reduced by 1.5 years. Find the age of the teacher.
SSC CHSL • 2024
How much is the average profit earned by ITC in the year 2020?
SSC CHSL • 2022
Find the ratio in which a grocer should mix two varieties of pulses costing Rs.75 and Rs.90 per kg, respectively, so as to get a mixture costing Rs.80 per kg.
SSC GD • 2023
What should be added to the each numbers 9, 22, 14, and 32 so that the obtained numbers are proportional?
SSC CGL • 2019
ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendicular on BC at E and F, respectively. Which of the following is not true?
SSC Selection Post • 2022
The length, breadth, and height of a rectangular box are in the ratio 3:2:4, respectively, and the cost of covering it with a sheet of paper at the rate of ₹1.50 per square metre is ₹1.950. Find 50% of the volume of the box (in m³).
SSC CHSL • 2025
If (125x³ − 343y³) ÷ (5x − 7y) = Ax² − By² + Cxy, then find the value of (2A + B - C).
SSC Selection Post • 2022
Study the given graph and answer the following questions. [Image] What is the ratio of the production of wheat in 2015 and 2017 to the total production of rice and barley in 2016?
SSC CHSL • 2025
A pavement is tiled in the shape of a triangle with area 84 cm² and a semi-perimeter of 21 cm. What is the radius of the circle that fits perfectly inside the triangle (inradius)?
SSC CHSL • 2020
The given graph represents the rainfall (in cm) in a city, over a period of six years. Study the graph and answer the question that follows. [Image] In which two consecutive years was the difference of the rainfall minimum?
SSC Selection Post • 2019
Identify the GCD of the numbers 32, 64 and 256 among the options.
SSC CHSL • 2020
The average of nine 2-digit numbers is decreased by 6 when the digits of one of the 2-digit numbers is interchanged. Find the difference between the digits of that number.
SSC GD • 2021
The average weight of 5 persons increases by 2.8 kg when a new person comes in place of one of them weighing 38 kg. The weight of the new person is:
SSC CGL • 2025
A line L is the perpendicular bisector of the line segment connecting points A(2, 5) and B(8, -1). What is the y-intercept of line L?
SSC CHSL • 2024
When 12 is subtracted from a number, it reduces to 40%. Two-fifth of that number is:
SSC CGL • 2024
Study the below data and answer the question that follows. [Table] The company has issued 10 lakh shares between its five partners. If Jeevan offers to sell 20,000 of his shares to Meera, how many shares will Meera have?
SSC GD • 2024
Two numbers are in the ratio of 8 : 9. If the sum of the two numbers is 102. then what is the difference between the two numbers?
SSC CHSL • 2021
If a + b + c = 2 and ab + bc + ca = -1, then the value of a³ + b³ + c³ - 3abc is:
SSC CGL • 2025
Find the value of sin² 90 ^° + cos² 60 ^° .
SSC Selection Post • 2024
The surface area ( in cm² ) of a sphere, whoese diameter is 42 cm is : ( take π = 22/7 )
SSC GD • 2023
The price of an item decreased by 8% and then increased by 12%. What is the approximate effective change in the price in percentage?
SSC CGL • 2020
The given table represents the number of engineers recruited by four companies A, B, C and D over the years. Study the table carefully and answer the question that follows. [Table] The total number of engineers recruited by company B in 2014 and 2017 is what…
SSC CGL • 2022
A shopkeeper announces a discount of 48% and then by a further discount of 15%. What is the final sale price (in Rs, to the nearest rupee) of a sofa costing Rs 29600 and what is the discount (in Rs)?
SSC GD • 2023
An equilateral triangle of side 6 cm has its corners cut-off to form a regular hexagon. What is the area of this regular hexagon?
SSC GD • 2025
Six persons went to a hotel to have their meals. Five of them spent ₹30 each on their meals. The sixth person spent ₹50 more than the average expenditure of all the six. What was the total money spent by all the persons?
SSC CGL • 2022
A kite is attached to a string. Find the length of the string (in m) when the height of the kite is 90 m and the string makes an angle of 30° with the ground.
SSC GD • 2023
What is the correct ascending order of the fraction 5 over 8 , 4 over 9 , 1 over 4 , 11 over 18 ?
SSC CGL • 2025
In ΔABC, an altitude AD is drawn from point A to side BC. Given the coordinates A(1, 5), B(2, 1), and C(6, 3), what is the slope of the line representing altitude AD?
SSC CHSL • 2025
A teacher calculated the average marks of 15 students in a test as 72.4. Later, she found that the marks of one student were wrongly entered as 68.9 instead of 86.3. After correcting the error, what is the correct average mark of the class?
SSC GD • 2023
Two trains of same length are running on parallel tracks in opposite directions with speeds of 54 km/h and 90 km/h respectively. They cross each other in 12 sec. Find the length (in metres) of each train.
SSC CHSL • 2025
In similar triangles, the ratio of their areas is equal to the:
SSC CGL • 2024
The profit gained on selling a certain product is 320% of the cost. If the cost increases by 10% but the selling price remains constant, then what percentage of the selling price is the profit (correct to one decimal place)?
SSC GD • 2025
There are 30 members in group A, 76 members in group B and 44 members in group C. All the members of these groups went to a restaurant. The average amount spent on each member of group A, B and C is ₹249, ₹168 and ₹498, respectively. The total average amount…
SSC GD • 2026
The ratio of two numbers A and B is 5 : 4. If both numbers are increased by 6, then the ratio of A and B becomes 6 : 5. What is the sum of final values of A and B?
SSC CGL • 2022
Prasad goes 96 kilometers on a bike at a speed of 16 km/h, 124 kilometers at 31 km/h in a car, and 105 kilometers at 7 km/h in a horsecart. Find his average speed for the entire distance travelled.
SSC CGL • 2025
If sin A + cos A = √(2) , then find sin³A + cos³A.