Quantitative Aptitude PYQ — Page 316
24,303 questions across SSC exams.
SSC CGL • 2020
Diameter AB of a circle with center O is produced to a point P such that PO = 16.8 cm. PQR is a secant that intersects the circle at Q and R such that PQ = 12 cm and PR = 19.2 cm.The length of AB (in cm) is :
SSC CGL • 2020
A shopkeeper marks the price of an article in such a way that after allowing a discount of 22%, he gets a gain of 11%. If the marked price is Rs.888, then the cost price of the article is :
SSC Selection Post • 2022
In an examination, the average marks of a student per paper were 72. If he had got 25 fewer marks in Mathematics and 17 more marks in Science, his average marks per paper would have been 71. How many papers were there in the examination?
SSC CHSL • 2022
What is the third proportion to 15 and 24?
SSC CHSL • 2023
Find the distance (in cm) between the centres of two circles having radil of 32 cm and 24 cm, respectively, if the length of a direct common tangent to the two circles is given as 24√(7) cm.
SSC GD • 2019
4/5 ÷ 4/5 of 1/10 × 1/10 = ?
SSC CHSL • 2020
Study the following graph and answer the question. [Image] In which year was the value per tonne the minimum?
SSC CGL • 2019
The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circlesto that between the two outer circles?
SSC CHSL • 2022
Find the total surface area of a container in cylindrical shape whose diameter is 14 cm and height is 25 cm. [Use π = 22/7]
SSC CGL • 2024
If the total production in the year 2021 was 2,00,00,000, then what will be the central angle of the sector representing the production of type D cars in 2021?
SSC Selection Post • 2024
The rice sold by a grocer contained 20% low-quality rice. What quantity of good-quality rice should be added to 175 kg of mixed rice so that the percentage of low-quality rice remains 10%?
SSC CHSL • 2023
The radii of two concentric circles are x cm and 26 cm. P and S are the points on the larger circle, and Q and R are points on the smaller circle. If PQRS is a straight line and QR = 40 cm and PS = 48 cm, then what is the value of x? (x < 26 cm)
SSC Selection Post • 2022
The income of X is 42% more than that of Y, and the income of Z is 45% less than the sum of the incomes of X and Y. By what per cent is the income of Z less than the income of X (correct to one decimal place)?
SSC Selection Post • 2022
The ratio of the prices of tea to coffee is 3 : 5 and the ratio of their quantities consumed by a family is 5 : 7. Find the ratio of expenditure on tea to coffee.
SSC CHSL • 2024
R can finish a work in 6 days if he works 10 hours a day. S can finish it in 5 days if he works 8 hours a day. If both start a work and work daily for 6 hours, the work will be finished in _ days.
SSC CHSL • 2023
What sum will become 9,826 in 18 months if the rate of interest is 2 1/2 % per annum and the interest is compounded half-yearly?
SSC CHSL • 2022
The number 2143251 is divisible by:
SSC CGL • 2025
An airplane flying at a height of 300 m notices the angles of depression to two boats located on opposite sides as 45° and 30°. Find the distance between the two boats.
SSC CGL • 2022
Simplify the following. cot13°.cot27°.cot45°.cot63°.cot77° = ?
SSC CHSL • 2023
What is the value of (1 + tanθ - secθ)(1 + cotθ + cosecθ)?
SSC CGL • 2023
15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.
SSC CGL • 2024
Simplify the given expression. (4x²+9y²-12xy)over (3y-2x)
SSC CHSL • 2020
The given bar graph shows the biscuit exports of India over a period of five years. Study the graph and answer the question that follow. [Image] In which year, the percentage increase in exports was maximum from its preceding year:
SSC CHSL • 2024
Diagonals of a trapezium ABCD with AB∥DC, intersect each other at the point ‘O’. If AB = 2.5CD, find the ratio of the area of triangle AOB to the area of triangle COD
SSC Selection Post • 2020
The following pie diagram gives the marks scored by a student in different subjects in an examination. Assuming that the total marks scored by the student in the examination are 540, answer the question below. [Image] The subject in which the student scored…
SSC CHSL • 2023
If ( a + 1/a ) = 6, then what is the value of 3/4 (a²+ 1/(a²) )?
SSC GD • 2019
Mohit goes to his office at the speed of 10 m/s and returns to his home at the speed of x km/hr. If average speed of Mohit for the whole journey is 12 m/s, then what is the value of x?
SSC MTS • 2022
For a candidate to pass an examination, he must score 60% marks. If he scored 345 and failed by 15 marks, then what are the total marks for the examination?
SSC CHSL • 2023
A man bought 13 chairs at 150 each and 15 chairs at ₹130 each. The average price of a chair (to the nearest rupee) is:
SSC CHSL • 2022
What is the fourth proportional to 16, 24, 8?
SSC Selection Post • 2022
A's salary is 38% more than of B's. What percentage (correct to one decimal place) is B's salary than that of A's?
SSC CGL • 2023
To do a certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in ___…
SSC CHSL • 2023
Evaluate the given expression: cos²36° + cos 54°. sin 36° + ((tan26°)/(cot64°))
SSC CHSL • 2023
ΔPQR is right angled at Q. If PQ = 12 cm PR = 13 cm, find tan P + cot R.
SSC CGL • 2022
A and B are two prime numbers such that A > B and their LCM is 209. The value of B² - A is:
SSC CGL • 2022
In ΔABC, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If ∠BOD = 60°, then measure of ∠AOE is:
SSC CGL • 2022
The given table shows the number of new employees joined in different categories of employees in an organisation and also the number of employees from these categories who left the organisation every year since the foundation of the organisation in 2015…
SSC CGL • 2023
Study the given bar graph and answer the question that follows. A company provides five different products. The sales of these five products (in 1000 number of packs) during 2019 are shown in the bar-graph. Sales of different products during 2019 Sales (in…
SSC Selection Post • 2022
If √(x) + 3over√(x) = 4, then what is the value of x²(x² – 82)?
SSC GD • 2021
A loss of 12.5% is incurred when an article is sold for Rs 630. What is the profit or loss percentage if the article is sold for Rs 840?
SSC CGL • 2022
From the top of a 195-m high cliff, the angles of desperssion of the top and bottom of a tower are 30° and 60°, respectively. Find the height of the tower (in cm).
SSC CHSL • 2023
What is cosec 90°/(1 − cos² 60°)
SSC CHSL • 2025
The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, the larger number is:
SSC CHSL • 2020
Find the value of (tan 60ᵒ – tan 15ᵒ)/(1+tan 60ᵒtan 15ᵒ).
SSC CHSL • 2025
A solid metal sphere is melted and recast into a cylinder, where the radius of the cylinder is twice that of the sphere. If the height of the cylinder is h and the radius of the sphere is r, what is the ratio of h to r?
SSC Selection Post • 2022
What is the maturity amount if ₹40,000 is invested for 2 years, the rate of compound interest (compounded annually) being 8% for the first year and 10% for the second year?
SSC CGL • 2020
The value of cos10º cos30º cos50º cos70º cos90º is:
SSC CHSL • 2020
If the 8-digit number 1a765b12 is to be divisible by 72, the least value of (2a + 3b) is:
SSC CHSL • 2023
The pie chart shows the cost of construction of a house in degree. [Image] What is the average expenditure on timber, super-vision, and cement?
SSC MTS • 2019
The marks obtained by S1 in Exam E5 is how much percentage (correct up to two places of decimal) more than that obtained by S2 in Exam E3?