Quantitative Aptitude PYQ — Page 406
24,303 questions across SSC exams.
SSC Selection Post • 2024
How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width, and 5 m in height?
SSC CGL • 2021
If (cos² θ)/(cot²θ + sin²θ -1) = 3 , 0º < θ < 90º, then the value of (tanθ + cosecθ) is:
SSC Selection Post • 2020
If △ ABC, D is the midpoint of AC, F is a point on AB such that CF bisects BD at E. IF AF = 18 cm, then the length of BF is:
SSC CHSL • 2025
If sin²A+cos²A=1 and tanA=2, find sinA and cosA.
SSC CHSL • 2023
A merchant advertise 10% off on the items bought from his store. Find the discount got by a customer who bought a bag worth Rs 560, an exercise book worth 90, and a pen worth 45.
SSC CHSL • 2024
The value of 11over3÷[21over6÷ \141over3-(21over3+31over2)\] is :
SSC CGL • 2025
The length of a direct common tangent to two circles is 12 cm. Their centers are 13 cm apart. If the larger circle has a radius of 8 cm, what is the radius of the smaller circle?
SSC CGL • 2025
P, Q, and R invested ₹20,000, ₹30,000, and ₹50,000 respectively in a business. If the profit at the end of the year was ₹40,000, find Q's share.
SSC CHSL • 2022
If we want ₹8,640 three years from now and the compounded interest rate is 20% p.a how much should we invest today? (assuming interest is compounded yearly)
SSC CGL • 2020
If an amount of Rs. 990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:
SSC Selection Post • 2019
The table given below present the sunrise (SR) and sunset (SS) timings in a city during six consecutive days of a week. It is given that the total daylight time (in hrs) = T, and (12-T) expressed in hours is P. [Table] What is average of P for D3 to D6…
SSC CHSL • 2024
PQ is parallel to SR in a trapezium PQRS. It is given that PQ > SR and the diagonals PR and QS intersect at O. If PO = 3x − 15, OQ = x + 9, OR = x − 5 and OS = 5, and x have two values x₁ and x₂, then the value of (x₁² - x₂²) is:
SSC CGL • 2024
A thief pursued by a policeman was 150 m ahead at the start. If the ratio of the speed of the policeman to that of the thief was 5 : 4, then how far (distance in metres) could the thief go before he is caught by the policeman?
SSC CGL • 2020
If the length of a rectangle is increased by 40% and the breadth is decreased by 20%, then the area of the rectangle increase by x%. Then the value of x is:
SSC CHSL • 2025
The average of 5 consecutive odd natural numbers is 47. Previous 5 consecutive odd natural numbers to these 5 odd natural numbers are also included. What will be the average of newly added numbers?
SSC Selection Post • 2019
When an article is sold for ₹582, there is a loss of 3%. To gain 12%, it should be sold for:
SSC GD • 2019
Ajay can row his boat in still water, at a speed of 6 kmph. If the speed of the stream is 4 kmph, how long will it take to a distance of 30 km downstream?
SSC CGL • 2025
If a : b = 5 : 3, then find (6a + 2b) : (6a - 2b)
SSC CHSL • 2024
(cot θ + tan θ)(cosec θ − sin θ)(cos θ − sec θ) = ____.
SSC CHSL • 2020
Tap A can fill a tank in 20 hours and tap B can fill the same tank in 30 hours. If both taps are opened together, then how much time will be taken to fill the tank?
SSC Selection Post • 2022
If 8cos²θ - 2cosθ - 3 = 0, 0° < θ < 90°, then what is the value of 3 tanθ + cosecθ + cotθ?
SSC CHSL • 2023
If cotB = 15/8 where B is an acute angle, what is the value of sec B + tan B?
SSC CHSL • 2023
If 5x + 3y = 15 and 2xy = 6 then the value of 5x - 3y is:
SSC CGL • 2022
If a 10-digit number 75462A97B6 is divisible by 72, then the value of √(8A-4B) is:
SSC CHSL • 2023
The table shows the sales of books from a school cooperative store on week days. [Image] In how many days are the sales of books below the average sale?
SSC Selection Post • 2022
100 oranges were purchased for Rs. 800 and sold at the rate of Rs. 108 per dozen. What is the percentage profit?
SSC Selection Post • 2022
The population of a town 2 years ago was 8000. If the population growth rate is 30% per annum. What will the population after 1 year ?
SSC MTS • 2022
The following pie chart shows the amounts of money spent under different heads by a household as percentages of the total money spent by the household on these 7 heads taken together. [Image] If the total money spent on these 7 heads is ₹ 2,300, then what is…
SSC CHSL • 2025
One of the angles of a quadrilateral is 84°. If the ratio of the remaining angles of a quadrilateral is 4:3:5, respectively, then find the difference between the smallest and largest angles.
SSC Selection Post • 2022
If x⁴ + y⁴ + x²y² = 21 and x² + y² - xy = 7, then what is the value of 1 over x² + 1 over y² .
SSC CHSL • 2021
Study the given pie chart and answer the question that follows. The pie chart represents the popularity of ice cream flavours among families in the year 2019. [Image] In 2019, if 20% of the 'other' category was Anjeer flavor and 4082 people preferred Anjeer…
SSC CHSL • 2025
In the case of two intersecting circles of different radii, how many external common tangents are there?
SSC CGL • 2022
A boat racer can row 213 over 2 km/h in still water. If the speed of river is 12.5 km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?
SSC CHSL • 2020
The difference between two numbers is 43 and their product is 50. Find the sum of their squares.
SSC CHSL • 2021
In how many years, will Rs.5,450 amount to Rs.8,175, if invested at simple interest at the rate of 12.5% per annum?
SSC CHSL • 2023
Third proportion of 15 and 120 is:
SSC CGL • 2019
The given bar graph shows the imports and exports (in crores) of steel by a country from 2013 to 2017. [Image] The total imports of steel in 2014, 2016 and 2017 is what percent less than the total exports in 2013, 2015 and 2017 ? (correct to one decimal place)
SSC CGL • 2023
If x > 0 and x⁴+1/(x⁴)=142 , what is the value of x⁷+1/(x⁷) ?
SSC CGL • 2024
Simplify: [25 − 48 ÷ 6 + 12 × 2] + 78 − [5 + 3 × (25 − 2 × 10)]
SSC CHSL • 2021
Study the given graph and answer the question that follows. [Image] By what percentage is 80% of the total export of sugar in 2016, 2017 and 2019 more than the total production in 2015 and 2018 ( correct to one decimal place)?
SSC GD • 2019
A discount of 20% in the price of rice enables X to buy 5 kg more rice for Rs. 100. What is the reduced price of rice per kg?
SSC MTS • 2022
What sum of money should be invested to earn a simple interest of Rs.5,040 in 3 years and 6 months at a 12% rate of interest per annum?
SSC GD • 2019
A circle, with radius 8 cm, which has the area equal to the area of a triangle with base 8 cm. Then the length of the corresponding altitude of triangle is :
SSC CHSL • 2020
If [Image] then the value of 8 A is:
SSC CGL • 2025
What should be subtracted from 15, 21, 27, and 39 so that the resulting numbers are proportional?
SSC CGL • 2020
(a + b + c - d)² - (a - b - c + d)² = ?
SSC CGL • 2022
If cot B = 12/5, what is the value of sec B?
SSC CGL • 2023
A sum of money at a fixed rate of simple interest amounts to ₹1,630 in 3 years and ₹1,708 in 4 years. Find the sum (in ₹).
SSC CHSL • 2019
If (x – 8)³ + (2x + 16)³ + (2x - 13)³ = 3(x - 8)(2x + 16)(2x – 13), then find the value of x.
SSC CHSL • 2019
What is the average of Export (in tonnes) during the five financial years?