Quantitative Aptitude PYQ — Page 434
24,303 questions across SSC exams.
SSC CGL • 2022
A sum of money becomes Rs 11, 880 after 4 years and Rs 17,820 after 6 years on compound interest, if the interest is compounded annually. What is the half of the sum (in Rs)?
SSC CGL • 2019
If the curved surface area of a solid cylinder is one-third of its total surface area, then what is the ratio of its diameter to its height?
SSC CGL • 2018
If a stall sells a pizza at Rs 200 he makes 20% loss if he wants to make 10% profit then at what price (in Rs) should he sell?
SSC CGL • 2020
Surekha borrowed a sum of money and returned it in two equal annual installments of Rs. 5,547 each. If the rate of interest was 7- 1/2% p.pa compounded yearly, then the total interest paid by her was
SSC CPO • 2025
Find the volume of a cone with a radius of 6 cm and height of 7 cm. (Take π = 3.14)
SSC CGL • 2016
A can do as much work in 4 days as B can do in 5 days, and B can do as much work in 6 days as C in 7 days. In what time will C do a piece of work which A can do in a week?
SSC CGL • 2020
A certain number of students from school X appeared in an examination and 30% students failed . 150% more students than those from school X, appeared in the same examination from school Y. If 80% of the total number of students who appeared from X and Y…
SSC CGL • 2018
A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?
SSC CGL • 2017
If sin P + cosec P = 2, then find the value of sin P - cosec P.
SSC CGL • 2018
α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α⁴ and β⁴?
SSC CGL • 2022
The value of 11.4̅+22.567̅-33.59̅ is:
SSC CPO • 2025
A chord AB of length 12 cm is common to two circles with diameters 13 cm and 15 cm, respectively. Find the distance between the centers of the circles.
SSC CGL • 2019
What is the remainder when (127⁹⁷ + 97⁹⁷) is divided by 32?
SSC CGL • 2019
In triangle ABC, ∠A = 58°. If I is the incenter of the triangle, then the measure of ∠BIC is:
SSC CGL • 2020
If x(3 - 2/x ) = 3/x , then the value of x³ - 1/x³ is equal to:
SSC CGL • 2022
Study the given pie charts and answer the question that follows. [Image] The number of students who passed the examination from institute D exceeds the number of students who appeared from institute A is x. The value of x lies between:
SSC CGL • 2018
If α and β are the roots of the equation x² + x – 1 = 0, then what is the equation whose roots are α⁵ and β⁵?
SSC CGL • 2018
At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25% and the camel at a loss of 20%. If he sold both the animals at the same price, then the cost price of the cheaper animal was ?
SSC CPO • 2025
Convert 60° to radians.
SSC CGL • 2016
If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0 , then the value of x² + y² equals
SSC CGL • 2018
Ramesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 3 hours lesser than time taken by Ramesh. What is the distance (in km) between the two cities?
SSC CGL • 2019
A sum amounts to Rs14,395.20 at 9.25% pa simple interest 5.4 years. What will be the simple interest on the same sum at 8.6% pa in 4.5 years ?
SSC CGL • 2020
A dealer marks his goods at 40% above the cost price. He sells 60% of the goods at the marked price giving 10% discount and the rest by giving 50% discount on the marked price. What is his overall profit/loss percent?
SSC CGL • 2019
The radius of the base of a right circular cylinder is intersected by 20%. By what % should height be reduced so that its volume remains the same as before?
SSC CGL • 2016
Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work?
SSC CGL • 2019
When an article is sold at its marked price, it gives a profit of 25%. If a discount of 9.6% is allowed on the marked price, then the profit percentage will be?
SSC CGL • 2020
The are of the base of a right circular cone is 81 π cm² and its height is 12 cm. What is the curved surface area (in cm²) of the cone?
SSC CGL • 2016
If sec θ + tan θ = m(> 1), then the value of sin θ is (0^(º) < θ < 90^(º))
SSC CGL • 2019
If [Image] , then the value of A² + B² - C² is?
SSC CGL • 2018
In 4 years at simple interest the principal increases by 12%. Calculate the amount (in Rs) received at the end of 2 years on Rs 20,000 at the same rate if compounded annually?
SSC CGL • 2018
If the difference between the roots of the equation Ax² – Bx + C = 0 is 4, then which of the following is TRUE?
SSC CGL • 2020
At what rate per cent per annum will a sum of Rs 15,625 amount to Rs 21,952 in three years, if the interest is compounded annually?
SSC CGL • 2018
If the selling price is tripled and cost price doubled the profit would become 65%. What is the present profit (in %)?
SSC CGL • 2017
If cosx.cosy + sinx.siny = – 1 then cosx + cosy is:
SSC CPO • 2025
Convert 150 to radians.
SSC CGL • 2020
The number of students in section A and section B of a class are 40 and 52, respectively. The average score in mathematics of all the students is 75. If the average score of the students in A is 20% more than that of students in B, then what is the average…
SSC CGL • 2022
A student goes to school at a speed of 5 1/2 km/h and returns at a speed of 4 km/h. If he takes 4 frac3 4 hours for his entire journey, then the total distance covered by the student (in km) is:
SSC CGL • 2018
p³ + q³ + r³ – 3pqr = 4, If a = q + r, b = r + p and c = p + q, then what is the value of a³ + b³+ c³ – 3abc?
SSC CPO • 2025
The curved surface area of a cone is 60π square centimeters, and its slant height is 10 centimeters. Find its height.
SSC CGL • 2018
On a certain item, profit is 150%. If the cost price increases by 25%, what will be the new profit margin (in %)?
SSC CGL • 2022
The value of (3(cosec²26⁰-tan²64⁰)+(cot²42⁰-sec²48⁰))/(cot(22⁰-θ )-cosec²(62⁰+θ )-tan(θ+68⁰ ) +tan²(28⁰-θ )) is:
SSC CGL • 2022
If (22 sqrt2)/(4sqrt2-sqrt3+sqrt5) = a + √5b, with a, b > 0, then what is the value of (ab) : (a+b)?
SSC CGL • 2022
Study the given graph and answer the question that follows. [Image] In 2020, the production of cement by company C increased by the same percentage as in 2019, over its previous year. The production (in million tonnes) of cement by company C in 2020 (correct…
SSC CGL • 2020
If √(11 - 3sqrt8) = a + b√2, then what is the value of (2a + 3b)?
SSC CGL • 2016
A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in?
SSC CGL • 2018
What is the value of √121 + √12321 + √1234321 + √12345432?
SSC CGL • 2019
A man sells goods at a certain price, 20% of which is his profit. If the price at which he buys the goods increases by 10% and he sells them at an 12.5% higher price, then what will be his profit percent (correct to one decimal place)?
SSC CGL • 2018
If a = (√3+√2)/(√3-√2) and b = (√3-√2)/(√3+√2) then what is the value of a²+b²-ab ?
SSC CGL • 2019
A person covers 40% of the distance from A to B at 8 km/hr. 40% of the remaining distance at 9 km/hr & the rest at 12 km/hr. His average speed (in km/hr) for the journey is?
SSC CGL • 2017
The value of the expression 2(sin⁶θ + cos⁶θ) – 3(sin⁴θ + cos⁴θ) + 1 is: