Quantitative Aptitude PYQ — Page 297
24,303 questions across SSC exams.
SSC Selection Post • 2024
Simplify the expression: (0.2)³ + (0.3)³ + (0.5)³ + 3 × 0.5 × 0.7 × 0.8
SSC CHSL • 2021
Study the given graph and answer the question that follows. [Image] In which year was the percentage increase in the revenue as compared to that in its preceding year below 6%?
SSC Selection Post • 2020
If x⁴ - 3x² - 1 = 0, then the value of (x⁶ - 3x² + 3/(x²)-1/(x⁶) + 1) is:
SSC CHSL • 2021
If 3 cotA = 4 tanA and A is an acute angle, then what will be the value of secA?
SSC CGL • 2023
A 252 m long train is running at a speed of 125 km/h. What is the time (in seconds) in which it will pass a man who starts from the engine running at the speed of 17 km/h in the same direction as that of the train?
SSC CGL • 2019
In triangle ABC, BE is perpendicular to AC, CD perpendicular to AB and BE and CD intersect each other at O. The bisectors of ∠OBC and ∠OCB meet at P. If ∠ BPC = 148°, then what is the measure of ∠A?
SSC CGL • 2017
The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum-circle and the incircle of the triangle is (use : π = 22/7):
SSC CGL • 2024
Find the gain percentage, if Anubha sold her scooter for ₹23358 gaining 1over6 th of the selling price.
SSC CGL • 2022
The average of 52, 71, 43, 22, a, and b is 55 and the average of 42, 45, 49, 51, 42, , c, and d is 53. What is the average of a, b, c, and d?
SSC CGL • 2019
When 7897, 8110 and 8536 are divided by the greatest number x, then the remainder in each case is the same. The sum of the digits of x is ?
SSC CGL • 2024
If sec\ a\ +\ tan\ aover sec\ a\ -\ tan\ a = 7over4 then, find the value of cosec a.
SSC CGL • 2022
A chord of length 40 cm is drawn in a circle having a diameter of 50 cm. What is the minimum distance of the other parallel chord of length 30 cm in the same circle from the 40 cm long chord?
SSC CGL • 2024
A shopkeeper sold 5/8 of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?
SSC Selection Post • 2023
In an 800 m race, the ratio of the speeds of two contestants Alka and Mira is 4 : 7. If Alka has a start of 520 m, then, Alka will win by:
SSC CGL • 2022
The sides of a triangle are in the ratio 1/3:1/5:1/6 . If the perimeter is 147 cm, then the length of the smallest side is __.
SSC GD • 2021
If a certain sum of money on simple interest amounts to Rs. 1980 and Rs. 2070. in 2 years and 3 years, respectively, then what is the sum (in ₹)?.
SSC CGL • 2022
An athlete runs 8 times around a circular field of radius 7 m in 3 minutes 40 seconds. His speed (in km/h) is: (Take \ π =22/7)
SSC CGL • 2025
If the selling price of an article is 90% of its marked price and the cost price is 80% of the marked price, what is the profit percentage?
SSC CHSL • 2022
In a class, the ratio of the number of boys to that of the girls is 11∶9. 30% of the boys and 20% of the girls passed an exam. Find the percentage of students who passed the exam.
SSC CHSL • 2019
The average of 1088 real numbers is zero. At most how many of them can be negative?
SSC CHSL • 2023
If the angle subtended by a chord on the major arc of a circle is 55°, then what will be the angle subtended by the same chord on the centre of the circle?
SSC Selection Post • 2022
An employee spends 75% of his income. His income rises by 25%, while his spending rises by 10%. The percentage of increase in his saving is ____.
SSC Selection Post • 2022
The average of 11 numbers is 25, If the average of 6 of these numbers is 24, then what is the average of the remaining 5 numbers?
SSC CHSL • 2019
What is the total amount of royalty paid (in Rs.) to the authors during the years 2012, 2013 and 2016?
SSC CHSL • 2025
Two vertical poles stand on the ground, 50 meters apart. The height of the smaller pole is 10 meters. From the top of the smaller pole, the angle of elevation of the top of the taller pole is 30°. Find the height of the taller pole.
SSC MTS • 2022
The average of 10 consecutive even numbers is 25. If two even number just preceding the smallest of the 10 given numbers is also included, then what will be the new average?
SSC GD • 2021
LCM of two prime numbers x and y (x > y) is 253. The difference between the numbers x and y is:
SSC CHSL • 2020
If A = (x - 1)/(x + 1) , then find the value of A - (1/A).
SSC GD • 2021
A can do a certain piece of work in 20 days. B is 25% more efficient than A, and C is 20% more efficient than B. A and C work together for 5 days. B alone will complete the remaining work in:
SSC CHSL • 2023
A manufacturer marked an item at ₹75 and sold it, allowing a 14% discount. If his profit was 29%, then the cost price (in ₹ ) of the item was:
SSC GD • 2021
An article was sold at 11/8 times of its cost price. The profit percent is:
SSC Selection Post • 2022
If the 9-digit number 957x5y6z3 is divisible by 33, then what is the maximum value of (x + y + z)?
SSC Selection Post • 2022
The given bar graph shows the income and expenditure (in ₹ crores) of a company during 5 years (2014 to 2018). [Image] In which year is the ratio of income to expenditure the lowest and highest, respectively?
SSC CGL • 2024
The average imports (in thousand tonnes) of all the years is:
SSC CGL • 2020
The perimetere of a square is 64 cm. Its area will be:
SSC MTS • 2019
What is the Lowest Common Multiple of all even numbers between 5 and 13?
SSC CGL • 2025
A mixture contains 60% milk. If 20 liters of water is added to the 80-liter mixture, what is the new percentage of milk?
SSC CHSL • 2019
Tangents AB and AC are drawn to a circle from a point A, such that ∠BAC = 40°. A chord CP is drawn parallel to BA. The measure of ∠CBP is?
SSC CGL • 2024
The salary of a worker is first increased by 25%, then it is decreased by 12%. The percentage change in his salary is:
SSC CGL • 2024
A bronze article having a marked price of ₹1,000 is sold during a festive season sale after three successive discounts of 20%. 30% and 10%. What will be the amount (in ₹) to be paid by a customer if she buys the article during the festival season?
SSC CGL • 2022
If 8cot θ=6 , then the value of (sinθ+cosθ)/(sinθ-cosθ) is:
SSC CHSL • 2023
Rohita offers a discount of 20% on the marked price of an object. Due to recession of market, she further offers a discount of 30% on its sale. What is the equivalent single discount percentage corresponding to these two successive discounts offers?
SSC CHSL • 2025
A mixture containing 22% of ethanol is mixed with another mixture containing a% of ethanol in the ratio 6 : 7. If the percentage of ethanol in the final mixture is 15%, find the value of a.
SSC CGL • 2016
A sells a watch to B and makes a loss of 12%. B makes a profit of 25/2% by selling the watch to C. If A sells the watch to B at the cost of which C purchased it, then the percentage of loss or profit of A will be?
SSC Selection Post • 2024
Find the simple interest (in ₹) on ₹9,900 at 9% per annum in 3 years.
SSC CHSL • 2023
Rajinder drives his car at an average speed of 40 km per hour to cover half of his total distance and thereafter he increases his speed to 60 km per hour. He covers his journey in 7 hours. What is the average speed of Rajinder in this journey?
SSC Selection Post • 2024
The area of the rhombus (in cm²) having each side equal to 13 cm and one of its diagonals equal to 24 cm is:
SSC CHSL • 2023
On selling a watch at 4/5 of the marked price, there is a loss of 10%. What will be the ratio of the marked price and the cost price of the watch?
SSC CHSL • 2021
What will be the compound interest (in Rs.) on a sum of Rs.7,200 for 18 months at a rate of 20% per annum, If the interest is compounded half - yearly. (nearest to an integer)?
SSC CGL • 2025
The inner and outer radius of a hollow hemispherical shell are 7 cm and 14 cm respectively. Find the approximate volume of the metal used.