Quantitative Aptitude PYQ — Page 120
24,303 questions across SSC exams.
SSC CHSL • 2024
The perimeter of a square whose area is the same as the area of a semi-circle of radius 2sqrt2 cm is:
SSC MTS • 2022
The area of a square is 1296 cm² and the radius of a circle is 7/6 of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use π=22/7 ]
SSC CPO • 2025
The average weight of 5 boys is 60 kg. If one boy weighing 75 kg leaves, what is the new average weight?
SSC CGL • 2021
What is the difference between the compound interest (in Rs) compounded yearly and compounded Half Yearly for 18 months at 20% per annum on a sum of Rs 12,000?
SSC CHSL • 2023
What will be the compound interest on Rs. 14,000 for 2 years at the rate of 10% per annum compounded annually?
SSC GD • 2025
Rodney sold 153 chairs and had a gain equal to the selling price of 63 chairs. What is his profit percentage?
SSC GD • 2019
The average height of a certain number of persons in a group is 155.5 cm. Later on 4 persons of height 154.6 cm, 158.4 cm, 152.2 cm and 153.8 cm leave the group. As a result the average height of the remaining persons increases by 0.15 cm. What was the…
SSC CHSL • 2025
In a microchip design, expression for interference signal is [(x + y)² + (x - y)²]² Find the simplified expression.
SSC CGL • 2023
The ratio of the number of boys in a school to the total number of boys and girls in that school is 7 : 17. If the number of boys in that school is 1099, then how many girls are there in that school?
SSC CGL • 2025
A triangle ABC has a circle inscribed within it with sides a, b, c. The area of the triangle is A. What is the radius of the inscribed circle?
SSC CGL • 2025
A can complete a task in 15 days, and B can complete the same task in 20 days. How long will it take them to complete the task together?
SSC GD • 2021
Divide 2310 people in three parties such that half in the first party, one-third in the second party and one-sixth in the third party are all equal.
SSC CGL • 2025
If sec A=12/5 and A is acute, find cos²A.
SSC CHSL • 2021
If cosθ =p²-1 over p²+1,0 º θ º, then cosecθ is equal to:
SSC Selection Post • 2022
The 6-digit number 439xy5 is divisible by 125. How many such 6-digit numbers are there?
SSC Selection Post • 2022
The marked price of mustard oil is 10% more than its cost price. At what per cent less than the marked price should it be sold, to have no profit and no loss?
SSC GD • 2026
A person sells an article at the loss of 25 percent. Cost price and selling price are increased by 40 percent and 'y' percent respectively. If the new loss percentage is 15 percent, then what is the value of 'y'?
SSC Selection Post • 2019
A trader marks his goods 42% above the cost price and allows a discount of 24%. His gain percent is:
SSC CGL • 2024
Find the area (in cm²) of the sector whose perimeter is 64over3 cm and central angle is 60°. (Use π = 22over7 .)
SSC CGL • 2024
Who obtained 79% marks in all the subjects taken together?
SSC GD • 2021
The ratio of the monthly salaries of an officer and a clerk is 11 : 4. If the monthly salary of the officer is increased by Rs 7000 and that of the clerk by Rs 3,000, the ratio becomes 19 : 7. What was the initial salary (in ₹) of the officer?
SSC Selection Post • 2020
The value of 0.325×0.325+0.175×0.175−25×0.00455over5×0.0065×0.325−7×0.175×0.025 is:
SSC MTS • 2022
Study the given graph and answer the question that follows. The graph shows the average height (in cm) of the boys and the girls of five classes in a school. [Image] If the numbers of girls and the numbers of boys in Class C are equal, then what is the…
SSC MTS • 2022
Kajal can do a piece of work alone in 24 days, while Neha can do the same work alone in 40 days. Kajal started the work alone, and then after 12 days, Neha joined her till the completion of the work. How long did the work take to be completed since Kajal…
SSC CHSL • 2024
Consider AD is a tangent to a circle of radius 6 cm. AC is a secant meeting the circle at B and CD is a diameter. If AB is 7 cm, then the value of AC (in cm) is:
SSC CGL • 2025
What is the value of (0.4 × 0.4 × 0.4 + 0.02 × 0.02 × 0.02) ÷ (1.2 × 1.2 × 1.2 + 0.06 × 0.06 × 0.06)?
SSC GD • 2023
If the increase in the percentage of the consumption of a commodity is 25% so that overall budget does not change, then the price of the commodity falls by:
SSC Selection Post • 2019
A scientist prepares a mixture with two chemicals: chemical 1 and chemical 2 in proportion of 2:3 and makes a total concentration of 150ml. How many ml of chemical 1 has been used?
SSC Selection Post • 2022
The following table shows the number of students in different streams in 5 departments. Study the table carefully and answer the question based on the table. [Table] Which department has the maximum number of students in all streams?
SSC GD • 2023
The diameter of the base of a right circular cylinder is 56 cm, and its height is 18 cm. The area of the curved surface of the cylinder is: (Use ^π= 22/7 )
SSC CHSL • 2019
If the eight -digit number 342x 18y6 is divided by 72, then what is the value of √(9x + y), for the largest value of y?
SSC CHSL • 2024
Ramu mixes 2 litres of water at 100° C and 18 litres of water at 32° C. What temperature will the water have after mixing?
SSC CGL • 2022
The length of a wire (in cm) of 0.1mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:
SSC GD • 2023
A loan of ₹1,50,000 is availed with compound interest rate of 10% per annum for two years compounded annually. It is to be paid in equal yearly instalments; and the instalment is to be paid at the end of each year. The value of the equal yearly instalment is…
SSC Selection Post • 2022
60 is the mean proportional of 36 and P. Find the value of P.
SSC CGL • 2025
Evaluate: (0.05³ + 0.01³) ÷ (0.25³ + 0.05³)
SSC CHSL • 2021
If cot⁴θ + cos²θ = 1, and θ < 90° then find the value of cosec³θ(sin²θ - 1).
SSC CHSL • 2025
Which one of the following is TRUE?
SSC GD • 2023
A bag contains 50 kg of pulses. There are three pulses, A, B, and C, mixed in it in the ratio of 4 : 3 : 3. The prices of pulses A, B, and C are ₹80 per kg, ₹60 per kg and ₹80 per kg respectively. What will be the average cost of 1 kg mixture of pulses?
SSC CGL • 2021
When x is subtracted from each of the numbers 54, 49, 22, and 21 the numbers so obtained are in proportion. The ratio of (8x - 25) to (7x - 26) is :
SSC GD • 2023
A person invests ₹30,000 for 5 years at a certain rate of interest compounded annually. At the end of 1 year, if the sum amounts to ₹34,200, then find the amount at the end of the second year.
SSC GD • 2023
A vegetable vendor does his sales using a weight that is 12% less than the actual weight and earns a profit of 32% on the cost price. Find the total profit percentage.
SSC GD • 2025
When difference between compound and simple interest for three years is ₹124 at 10% interest per annum, the principal is ₹__
SSC CGL • 2023
If r = 15(sin θ + cos θ ) and s =16(sin θ - cos θ ), then the value of (r²)/(15²)+(s²)/(16²)
SSC CGL • 2025
If a = 0.02, b = 0.03, c = -0.05, and a + b + c = 0, find (a³ + b³ + c³) ÷ (3abc)
SSC CHSL • 2021
The profit earned after selling an article for Rs 8,579 is the same as the loss incurred after selling the article for Rs 6,341. The profit percentage is:
SSC CGL • 2021
What is the ratio of number of seats that remained vacant in all the Non-AC classes on Wednesday and Thursday taken together to number of seats remained vacant in AC classes on Monday, Tuesday and Friday?
SSC CGL • 2023
In 1 km linear race, P beats Q by 120 metres or 30 sec. What is the time taken by P to cover the race?
SSC CGL • 2022
The given bar graph shows exports of cars of type A and B (in Rs million) from 2014 to 2018. Study the graph and answer the question that follows. [Image] In which year are the exports of cars of type A is Rs 20 million more than the average exports (per…
SSC Selection Post • 2022
The cost price of an article is 80% of its marked price. The dealer allows a 15% discount on the marked price. Find the gain percentage?