Quantitative Aptitude PYQ — Page 187
24,303 questions across SSC exams.
SSC CGL • 2022
If 1/(x²+a²)=x²-a² then find the value of x.
SSC CHSL • 2024
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
SSC Selection Post • 2023
Ram sold two bags at ₹1,260 each. On one, he gained 20% and on the other, he lost 20%. Find his gain or loss percentage in the whole transaction.
SSC CHSL • 2024
Solve: 2×2+2over2÷2×2 ÷ ( 1over2÷1over2of 1over2 )/( 1over2+1over2of1over2 ).
SSC CHSL • 2023
After allowing a discount of 12.5% on the marked price, an article is sold for ₹2,625. Find its marked price.
SSC CHSL • 2024
Shyam’s income is 20% less than Ram’s. How much is Ram’s income more than Shyam’s in percentage terms?
SSC CHSL • 2025
A circular pipe has an external diameter of 42 cm and an internal diameter of 36 cm. Find the area of the cross-section of the pipe.
SSC CHSL • 2025
A man deposits ₹1,50,000 at a CI rate of 10% p.a. After the first year's interest is credited, he withdraws 50% of the interest earned. What is his account balance at the end of the second year?
SSC Selection Post • 2022
If the 11-digit number 79x6402087y is divisible by 72, then for the smallest value of x, what is the value of (x + 2y)?
SSC CHSL • 2021
Two circles touch internally. Their diameters are, respectively, 8 cm and 4 cm. What is the distance (in cm) between their centres?
SSC CGL • 2022
The following bar chart shows the number of students enrolled in two summer Camps A and B from 2014 to 2019. Study the chart carefully and answer the question that follows. [Image] The number of students enrolled in Camp A in 2016 and 2019 together is what…
SSC GD • 2025
The simple interest on a principal amount (in ₹) is ₹524 for a period of 2 years at the rate of 5% per annum. The principal amount (in ₹) is:
SSC CGL • 2024
A circular arc whose radius is 12 cm makes an angle of 30° at the center. Find the perimeter (in cm) of the sector formed. (Use π = 3.14)
SSC CGL • 2022
In triangle ABC, X and Y are the points on sides AB and AC, respectively, such that XY is parallel to BC. If XY: BC = 2.5 : 7, what is the ratio of the area of the trapezium BCYX to that of the ∆AXY?
SSC CGL • 2025
If tan(90^°-A)=√(3) what is sec A?
SSC GD • 2025
Given that X is the third proportional of 20 and Y, if Y is the sum of the first three prime numbers, then the value of X is:
SSC GD • 2024
The simple interest received on a sum for 20 years is 2/5 of the sum. What is the rate of interest?
SSC CGL • 2023
The effective speed of a boat is 15.2 km/h against the stream and 20.8 km/h along the stream. Find the speed of the stream.
SSC CGL • 2019
2tan(30°)/(1 - tan²30°) = ?
SSC Selection Post • 2020
The general solution of the equation tan 3x + cot(2x + (π)/3 ) = 0 is:
SSC CHSL • 2024
A car covers a certain distance in 85 minutes if it runs at a speed of 36 km/hr. The speed at which the car must run to reduce the time of journey to 51 minutes will be:
SSC CGL • 2024
If secθ = 29over20 where 0 < θ < 90°, then what is the value of 3cosecθ + 3cotθ?
SSC GD • 2025
Evaluate: 32 ÷ 8 × 4 - 3 × 4
SSC CHSL • 2022
The table below provides information about the marks obtained by a group of students in a test. [Table] How many students scored at least 30 marks but less than 40 marks in the test?
SSC GD • 2024
If the compound interest (compounding annually) for the first and second years on a sum of Rs. 800 and Rs. 880 respectively. find the rate of interest per annum.
SSC GD • 2021
Pipe A and B can fill a tank in 12 h and 18 h, respectively, whereas Pipe C can empty the full tank in 8 h, A and B are opened for 41/2 h and then closed. C alone will empty the tank in (in h)
SSC CGL • 2023
Simplify. 325 + 276 ÷ [150 - {9 × 9 +(83 - 4 × 15)}]
SSC GD • 2026
The speed of a boat in still water is 24 km/hr. If the upstream speed of the boat is 16 km/hr, then what is the speed (in km/hr) of the stream?
SSC GD • 2021
In a college election, Seema and Geeta got the votes in the ratio of 4 : 5 of the total valid votes. If 19% are invalid votes out of 15000 votes, then the difference of the votes polled in favour of Seema and Geeta is:
SSC GD • 2019
The Least Common Multiple and Highest common Factor of two numbers are 30 and 5 respectively. If their sum is 25, then what will be the difference of these two numbers?
SSC CGL • 2022
A person travels from P to Q at a speed of 50 km/h and returns by increasing his speed by 60%. What is his average speed for both the trips?
SSC GD • 2023
The average of 29 observations is 40. If the average of the first 15 observations is 38, and that of the last 15 observations is 45, then the 15th observation is:
SSC CHSL • 2022
A man runs 200 metres in 24 seconds. His speed is:
SSC GD • 2023
If the selling price of an article 11/5 is times of the cost price, then the gain percentage is:
SSC CHSL • 2023
Study the given pie-chart and answer the question that follows. The pie-chart shows the percentage of employees in various departments of a company having a total workforce of 7,200. [Image] If out of the total salary budget, 30% is used to give salaries to…
SSC CGL • 2025
A circular garden having a diameter of 10 m is surrounded by a concrete path 2 m wide. Calculate the percentage increase in area resulting from the addition of the path.
SSC CHSL • 2025
If 7A = 5B, what is A:B?
SSC CGL • 2024
Solve the given set of three equations to get the value of the unknowns: x + 2z = 3 x + 2y + 3z = 5 3x - 5z = -13
SSC GD • 2025
Mahesh has ₹1617 with him. He divided it amongst his sons Vijay and Ajay and asked them to invest it at 10% rate of interest compounded annually. It was seen that Vijay and Ajay got same amount after 13 and 14 years respectively. How much (in ₹) did Mahesh…
SSC GD • 2021
The greatest number that divides 415, 688 and 825 leaving 7, 8 and 9 as remainders, respectively, is:
SSC CHSL • 2025
If A:B = 2:3 and B:C = 4:5, then what is A:B:C?
SSC CGL • 2024
In aΔPQR, the bisectors of∠Q and∠R meet at point O, inside the triangle. If∠QOR = 107°, then the measure of∠P is:
SSC CHSL • 2025
What is the degree measure of -5π/3 radians?
SSC Selection Post • 2020
Three articles are bought at ₹400 each. One of them is sold at a loss of 10%. If the other two articles are sold so as to gain 20% on the whole transaction, then what is the gain percentage on the two articles?
SSC GD • 2023
Priyank buys an unfurnished flat for Rs. 6000000. He furnished it and eventually sells it for Rs. 12000000. The percent increase in the price of the flat is:
SSC CGL • 2022
The number of cars passing the road near a colony from 6 cm to 12 noon has been shown in the following histogram. What is the ratio of the number of cars passed between 6 cm and 8 am to the number of cars passed between 9 am and 11am? [Image]
SSC CHSL • 2023
If cot y = 12/5 , then what is the value of cos²y?
SSC CGL • 2022
If each of the two numbers 5¹⁶ and 5²⁵ are divided by 6, the remainders are R₁ and R₂ respectively. What is the value of [Image] ?
SSC CHSL • 2022
The Earth makes a complete rotation about its axis in 24 hours. Through what angle will it turn in 3 hours 30 minutes?
SSC GD • 2023
After allowing a discount of 10% on its marked price, the value of a mobile phone is Rs.20,250. If no discount is allowed, then the shopkeeper gains 20%. The cost price of the mobile phone is: