Quantitative Aptitude PYQ — Page 435
24,303 questions across SSC exams.
SSC CGL • 2020
Remi earns a profit of 20% on selling an article at a certain price, If she sells the articles for Rs 8 more, she will gain 30%. What is the original cost price of 16 such articles?
SSC CPO • 2025
The radii of two right circular cylinders are in the ratio 2:5, and their heights are in the ratio 3:2. What is the ratio of their curved surface areas?
SSC CGL • 2020
The ratio between the present ages of A and B is 3 : 5. If the ratio of their ages five years hence becomes 13 : 20, then the present age of B is:
SSC CGL • 2018
40% are the passing marks. A student gets 250 marks yet fails by 38 marks. What is the maximum marks?
SSC CGL • 2018
Find the difference (in Rs) in the interest earned on Rs 10,00,000 at 10% in 1 year compounded annually and semi-annually.
SSC CGL • 2018
0.06% of 250% of 1600 is _____.
SSC CGL • 2019
A circle is inscribed in triangle ABC, touching AB, BC and AC at the points P, Q and R , respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of triangle ABC = 32 cm, then PB + AR is equal to:
SSC CPO • 2025
The diameter of a right circular cone is 42 cm and its height is 20 cm. Calculate the total surface area of the cone.
SSC CGL • 2016
If (a² − b²) sin θ + 2ab cos θ = a² + b², than tan θ
SSC CGL • 2018
Ravi is 12 years younger than Surya. Ravi’s age is 40% of the sum of his and Surya’s age. What will be Surya’s age 9 years hence ?
SSC CGL • 2016
A canal of a village can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is?
SSC CGL • 2018
Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?
SSC CGL • 2020
From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30º and 60º, respectively. The difference (in cm) between the heights of the pole and its distance from the hill is:
SSC CGL • 2017
If cos θ = (x² – y²)/(x² + y²) then the value of cot θ is equal to [If 0° ≤ θ ≤ 90°]
SSC CGL • 2020
If 45/53=1/(a+1/(b+1/(c-2/5))), where a, b and c are positive integers, then what is the value of (4a - b + 3c)?
SSC CGL • 2018
A bank gives Rs 25,000 on a saving a certain principal in 2 years at 8% rate of interest. How much will the bank give (in Rs) on the same principal in 4 years at the same rate of interest compounded annually?
SSC CGL • 2018
How many natural numbers are there between √261 and √45109?
SSC CGL • 2019
Given that: (5x − 3)³+ (2x + 5)³+ 27(4 - 3x)³= 9(3 - 5x)(2x + 5)(4 - 3x), then the value of (2x + 1) is?
SSC CPO • 2025
A right prism with a rectangular base has a perimeter of 28 cm and height 12 cm. What is its lateral surface area?
SSC CGL • 2022
If 1 + 2tan² θ + 2sinθ sec² θ = a/b , 0º (a+b)/(a-b) =?
SSC CGL • 2019
The given pie chart shows the quantity wise sales distribution of five products (A, B, C, D and E) of a company in 2016. Quantity wise sales distribution of five products (A, B, C, D and E) [Image] In 2016, if total of 14616 units were sold, then the number…
SSC CPO • 2025
Given a hemispherical bowl of internal radius 9 cm and a cylindrical vessel of internal radius 3 cm, what height will the liquid attain in the cylinder when the entire contents of the full bowl are transferred into it?
SSC CGL • 2022
A₁ and A₂ are two regular polygons. The sum of all the interior angles of A₁ is 1080º. Each interior angle A₂ exceeds its exterior angle by 132º. The sum of the number of sides A₁ and A₂ is:
SSC CGL • 2018
Which of the following statement(s) is/are TRUE? I. √5 + √5 > √7 + √3 II. √6 + √7 > √8 + √5 III. √3 + √9 > √6 + √6
SSC CGL • 2020
A man walks at a speed of 8 km/h. After every km, he takes a rest for 4 minutes. How much time will he take to cover a distance of 6 km?
SSC CGL • 2016
A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45^? to 60^?. After this the time required by the vehicle to reach the bottom of the hill is
SSC CGL • 2019
If each interior angle of a regular polygon is _([Image]), then what is the sum of the number of its diagonals and the number of its sides?
SSC CPO • 2025
P, Q, and R are three points on a circle. The tangent at R meets QP at S. Given that ∠PSR = 40° and ∠PRS = 44°, the angle subtended by PQ at the center of the circle is:
SSC CGL • 2020
In what ratio should sugar costing Rs 40 per kg be mixed with sugar costing Rs 48 per kg, so as to earn a profit of 20% by selling the mixture at Rs 54 per kg?
SSC CGL • 2017
The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller…
SSC CGL • 2016
If 2y cos θ = x sin θ and 2x sec θ − y cosec θ = 3, then the value of x² + 4y² is
SSC CGL • 2019
To cover a distance of 416km, A train takes [Image] hrs more than train B. If the speed of train A is doubled it would take [Image] hrs less than B. What is speed (in km/hr) of train A?
SSC CPO • 2025
20 girls can complete a work in 16 days. 16 boys can complete the same work in 15 days. What is the ratio between the capacity of a boy and a girl?
SSC CGL • 2019
If the radius of the sphere is increased by 4 cm, its surface area is increased by 464π cm² . What is the volume (in cm³) of the original sphere?
SSC CGL • 2020
If 27 (x + y)³ - 8(x - y)³ = (x + 5y) (Ax² + By² + Cxy), then what is the value of (A + B - C)?
SSC CGL • 2019
The value of 9 × 6 ÷ 24 + 8 ÷ 2 of 5 - 30 ÷ 4 of 4 + 27 × 5 ÷ 9 is ?
SSC CGL • 2022
A discount of 10% is offered on the price of an article if the payment is made online. An additional discount of 5% is given to credit card holders. A person wishes to buy a watch priced at Rs 60,000 by paying online through credit card. How much does he…
SSC CGL • 2020
What is the difference between the number of girls in school A and the number of girls in school C?
SSC CGL • 2018
When a number is increased by 216, it becomes 140% of itself. What is the number?
SSC CGL • 2018
Find the rate of interest (in%) if simple interest earned on a certain sum for the 3 years is Rs 900 and compound interest earned in 2 years is Rs 636?
SSC CGL • 2018
5% of a = b, then b% of 20 is the same as ?
SSC CGL • 2022
The value of 17 1/2 % of 3 1/4 % of 33 1/3 % of 7200 is:
SSC CGL • 2018
N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?
SSC CGL • 2018
M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?
SSC CGL • 2016
Simplify: ?-2197 × ?-125 ÷ ?(27/512)
SSC CGL • 2020
The value of 3 ÷ 18 of 3 × 6 + 21 × 6 ÷ 18 - 3 ÷ 2 + 3 - 3 ÷ 9 of 3 × 9 is:
SSC CGL • 2020
To do a certain work, the ratio of the efficiencies of A and B is 7 : 5. Working together, they can complete the same work in 17 1/2 days. A alone will complete 60% of the same work in :
SSC CGL • 2018
A man’s annual income has increased by Rs 5 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pay Rs 10,000 more income tax. What is his increased income (in Rs lakhs)?
SSC CGL • 2017
If x = cosecθ – sinθ and y = secθ – cosθ, then the relation between x and y is:
SSC CGL • 2018
In a triangle ABC, AB = 12, BC = 18 and AC = 15. The medians AX and BY intersect sides BC and AC at X and Y respectively. If AX and BX intersect each other at O, then what is the value of √2 × OX?