Quantitative Aptitude PYQ — Page 150
24,303 questions across SSC exams.
SSC CGL • 2022
What is difference in the volume (in cm³) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π =22/7)
SSC CGL • 2024
The sum of two consecutive even numbers is 174. Find the smaller number.
SSC CHSL • 2020
If 3.96 cubic m of lead is to be drawn into a cylindrical wire of diameter 0.6 cm, then the length of the wire (in metres), is:
SSC MTS • 2022
A helmet is sold for ₹1,650 at a profit of 10%. If the selling price is ₹2,100, then what will be the profit percentage?
SSC CGL • 2018
What is the value of [(sin 4x + sin 4y) {(tan 2x – 2y)}]/(sin 4x – sin 4y)?
SSC GD • 2025
The simple interest on a principal amount (in ₹) is ₹177 for a period of 5 years at the rate of 2% per annum. The principal amount (in ₹) is:
SSC CGL • 2022
In a circle O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17cm, then find the difference in lengths of the two chords (in cm).
SSC Selection Post • 2020
If (cos²θ - 1)(2sec²θ) + sec²θ + 2tan²θ = 2, 0° (secθ + sinθ)over (cosecθ - cosθ) is equal to:
SSC Selection Post • 2022
A student wants to know the area of a rhombus, one of whose diagonals is 6 cm. He measures another diagonal as 8 cm. What is the area of the rhombus?
SSC CGL • 2020
The time taken by a boat to travel 13 km downstream is the same as the time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) will it take to travel a distance of 44.8 km in still water?
SSC Selection Post • 2024
If x + y = 12 and xy = 6, then the value of x/y + y/x is equal to :
SSC CHSL • 2021
A customer availed a 10% discount on the purchase of a table and paid 4,950 for it. How much money would he have saved if he had bargained to get 12% discount?
SSC CHSL • 2019
If sinx + cosecx = 2, then sin¹⁷x + cosec¹⁸x is equal to:
SSC CGL • 2019
If (5x + 1)³ + (x - 3)³ + 8(3x - 4)³ = 6(5x + 1)(x - 3)(3x - 4), then x is equal to ?
SSC CHSL • 2021
In a triangle ABC, right-angled at B, if secA = 13/5, then find the value of (1 + sinA)/(cosC).
SSC CGL • 2021
How many persons earn Rs. 250 or more but less than Rs. 350 daily?
SSC CGL • 2025
Point P is at an equal distance from the three vertices of a triangle with coordinates A(0, 0), B(4, 0), and C(0, 3). What are the coordinates of point P?
SSC CGL • 2023
A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.
SSC CGL • 2019
The value of 5 ÷ 5 of 5 × 2 + 2 ÷ 2 of 2 × 5 – (5 – 2) ÷ 6 × 2 is:
SSC GD • 2023
Ruby bought 20 buttons for Rs.1. How many buttons she must sell for Rs.1 in order to get a profit of 25%?
SSC CGL • 2025
A chord AB of a circle has a length of 10 cm. The angle subtended by the chord at a point C on the major arc is 30°. Find the radius of the circle.
SSC CHSL • 2025
The price of a product was increased by 10% and then decreased by 5%. What is the final price if the original price was ₹200?
SSC GD • 2023
Kunal bought an article and sold it at a loss of 15%. If he had bought it for 18% less and sold it for ₹108 more, then he would have had a profit of 30%. Find the cost price of the article.
SSC CHSL • 2025
A and B started a business with ₹12000 and ₹18000. B left after 4 months. Find their profit ratio after 1 year.
SSC MTS • 2022
Two cubes, each having a total surface area of 150 cm², are joined together to form a cuboid. Find the total surface area of the resulting cuboid.
SSC CHSL • 2025
Solve :- (111 × 5⁴) = ?
SSC GD • 2019
In a mixture of 60 L, the ratio of milk and water is 2 : 3, then the quantity of water in the mixture is :
SSC CHSL • 2020
The circumference of a circle is 22 cm. What will be the area of the quadrant of that circle?
SSC CHSL • 2023
Two trains, one 125 metres and the other 375 metres long are running in opposite directions on parallel tracks, at the speed of 81 km/hr and 63 km/hr respectively. How much time will they take to cross each other?
SSC CGL • 2019
Find the value of 108 ÷ 36 × 4 + 2.5 × 4 ÷ 0.5 – 10
SSC GD • 2023
The speed of a boat in still water is 50 percent more than its speed upstream. If the boat takes 20 minutes to reach point Q from point P downstream, how long will it take to reach point P from point Q upstream?
SSC CGL • 2023
If 2x + 3y = 16 and xy = 9, then find 8x³ + 27y³.
SSC Selection Post • 2022
What is the difference (in ₹, to the nearest rupee) between the simple interest and compound interest on ₹24500 in two years at the rate of 8% per annum? The compound interest is compounded annually.
SSC Selection Post • 2023
The following chart represents the demand and production of companies V, W, X, Y, and Z. [Image] If K% of the production of company W equals the production of company Z, then K equals:
SSC Selection Post • 2019
If the 6-digit number 479xy9 is divisible by each of 7, 11, 13, then (x - y) is equal to -
SSC Selection Post • 2023
In a parallelogram, one of the parallel sides is 16 cm and the other side is 12 cm. If the perpendicular distance between the two parallel sides of dimension 16 cm is 24 cm, then the perpendicular distance between its other two parallel sides is :
SSC GD • 2019
What is the mean of the range, median and mode of the data given below? 1, 2, 5, 9, 6, 3, 9, 7, 4, 3, 9, 1, 9, 6, 8, 1
SSC CGL • 2025
If sin A = 2x/(1+x²) , what is cos A?
SSC Selection Post • 2024
The price of a television set and a washing machine are in the ratio of 8 : 7. If the cost of the television set is ₹4,800 more than the cost of the washing machine, then find the price of the washing machine.
SSC GD • 2023
Calculate the volume of a cylinder having a height of 56 cm and a base radius of 28 cm. (Use ^π = 22/7 )
SSC CGL • 2024
In how much time (in years, rounded off to 2 decimal places) will ₹10,800 amount to ₹24,800 if invested at simple interest at the rate of 15.5% per annum?
SSC GD • 2019
Selling price of first article is Rs. 470 and cost price of second article is Rs. 470. If there is a loss of 20% on first article and profit of 20% on second article, then what will be the over all profit or loss percentage?
SSC CHSL • 2025
A dealer bought two antique items. On the first item, he gained 25%, and on the second, he lost 10%. The cost price of the first item was 60% more than the second. If the overall profit from both items was ₹225, find the cost price of each item.
SSC CGL • 2024
What is the ratio of the money spent on each of the advertisements taken one from each of NY times, The Telegraph and Others for the year 2021 to that of the money spent on each of the advertisements taken one from each of NY times, The Telegraph and Others…
SSC GD • 2021
What is the greatest 5 digit number which on being divided by 3, 5, 6 and 9 leaves remainders 1, 3, 4 and 7, respectively?
SSC Selection Post • 2022
The average weight of 32 students is 70 kg. If the weight of the teacher is also included, the average weight of the class becomes 70.5 kg. Calculate the weight of the teacher.
SSC Selection Post • 2023
Victoria bought items with a combined marked price of $400,000. She was offered a 10% discount on the portion paid in cash and a 2% surcharge on the portion paid via credit card. If Victoria paid a total of $378,000, how much did she pay via credit card…
SSC GD • 2023
Find the sum of the digits of the smallest 6-digit number divisible by 18, 24, and 25.
SSC GD • 2021
By selling an article for ₹ 340, a trader loses 20%. To gain 15%, he must sell it for:
SSC CGL • 2025
The ratio of the circumferences of two circular flower beds is 4:5. If the smaller flower bed has a radius of 12 m, what is the radius of the larger flower bed?