Quantitative Aptitude PYQ — Page 371
24,303 questions across SSC exams.
SSC CGL • 2019
If 3sin θ = 2cos²θ, 0° < θ < 90°, then the value of (tan²θ + sec²θ – cosec²θ) is?
SSC GD • 2021
The average of 4 numbers is 60 and the 1^(st)number is 1/3 off the sum of the remaining three numbers. What is the first number?
SSC GD • 2021
A sum fetched a simple interest of Rs 3,040 at the rate of 8% p.a. in 5 years. What is the sum?
SSC CGL • 2022
What is the greater four-digit number which on being divided by 6,7 and 8 leaves 4,5 and 6 as remainders, respectively?
SSC Selection Post • 2024
In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2 : 1, respectively. Riddhi scored 8 out of 10 in Paper B and an overall 70% in the…
SSC CGL • 2025
If x+1/x=-1 , then compute x⁴+1/(x⁴)+2x²+2/(x²)
SSC CGL • 2025
P starts a business with Rs. 8,000. Q joins after 5 months with Rs. 12,000. If the profit at the end of the year is Rs. 6,800, what is Q's share (approx.)?
SSC CGL • 2023
A and B working together can finish a piece of work in 8 days while B alone can do it in 24 days. In how many days can A alone finish the work?
SSC CHSL • 2022
A person runs at an average speed of 20 km/h for 30 minutes and cycles at a speed of 32 km/h for 1 hour 15 minutes. Calculate the average speed (in km/h, rounded off to 1 decimal place).
SSC CHSL • 2023
If ( z + 1/z ) = 4, then what will be the value of 1/2 ( z² + 1/(z²) ) ?
SSC GD • 2019
The average of 23, 27, 29, 36, 47 and x is 35. What is the value of x?
SSC CHSL • 2023
If x²-√(9.76)x+1=0 and x > 1, the value of (x³-1/(x³)) is:
SSC CGL • 2021
Three persons A, B, and C donate 10% , 7%, and 9% respectively of their monthly salaries to a charitable trust. The monthly salaries of A and B are equal and the difference in the donatation of A and B is Rs 900. If the total donation by A and B is Rs 600…
SSC CGL • 2022
A shopkeeper earns a profit of 17% on selling a book at 10% discount on the printed price. If the cost price is Rs 500, then the printed price (in Rs) is:
SSC GD • 2019
DIRECTION: The population of a city is 8000. They have various types of occupation which is given below by the pie-chart. Study the pie-chart and answer the given questions. [Image] How much population percent is less in industry sector than in agriculture…
SSC CHSL • 2025
After deducting 25% from the marked price, the item's selling price is ₹7,200. If the discount is raised to 30%, what will the selling price be?
SSC CHSL • 2021
The ratio of the incomes of A and B is 7 : 5. A and B save Rs. 4,000 and Rs.3,500, respectively. If the expenditure of B is half the expenditure of A, then the total income of A and B (in Rs.) will be:
SSC CGL • 2022
In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm, AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).
SSC CGL • 2025
A and B started a business by investing Rs. 75,000 and Rs. 45,000 respectively. After 3 months, C joined with Rs. 60,000. At the end of the year, what is C's share in a profit of Rs. 40,000 (approx.)?
SSC CGL • 2018
A and B can together complete a task in 18 hours. After 6 hrs A leaves. B takes 36 hrs to finish rest of the task. How many hours would A have taken to do the task if he worked alone ?
SSC CGL • 2021
Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
SSC Selection Post • 2020
If the 5-digit number 457xy is divisible by 3, 7, and 11, then what is the value of (2x + 5y)?
SSC MTS • 2019
What is the value of: [Image]
SSC CHSL • 2025
A can complete a work in 8 days, while B can do it in 16 days. How many days will they take together?
SSC CGL • 2023
A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30°. At what approximate distance (in metres) is the person standing away from the building.
SSC CGL • 2017
The simplified value of is closes to: [Image]
SSC CGL • 2024
A rectangular courtyard is 4m 95cm long and 16m 65cm broad. It is to be paved with the square tiles of the same size. Find the least number of such square tiles required to pave the rectangular courtyard.
SSC CGL • 2023
What is the value of 64x³ + 38x²y + 20xy² + y³, when x = 3 and y = -4?
SSC CHSL • 2019
The simplified value of [Image] is:
SSC CGL • 2024
If tanA = 1/(√(10)) , A is an acute angle, then the value of sinA + cosecA is :
SSC CGL • 2023
Two equal circles of radius 18 cm intersect each other, such that each passes through the centre of the other. The length of the common chord is ___.
SSC CGL • 2019
35% of the goods are sold at a profit of 65%, while the remaining were sold at x% loss. If the overall loss is 12%, then what is the value of x?
SSC CGL • 2022
If X+1 over X=-2, then what is the value of X¹⁷ +X⁻¹⁷ + X¹² + X⁻¹² ? (x)
SSC CHSL • 2025
A currency converter displays the exchange rate of 1 USD = 0.090909... JPY. A finance analyst wants the exact fractional form for calculation purposes. What is the correct fraction?
SSC CHSL • 2020
On selling a bike for Rs. 2500, a seller incurs a loss of 20%. What price would have caused him to lose 30%?
SSC CGL • 2022
The average of 9 consecutive numbers is 20. The smallest of these numbers is:
SSC CHSL • 2022
The ratio of measures of the angles of a triangle is given as 3 : 4 : 8. What is the measure of the smallest of the three angles?
SSC CGL • 2019
If x = [Image] , then the value of [Image] will be closest to ?
SSC Selection Post • 2019
ABC is a triangle, where ∠BAC = 90˚, If BC = 10 cm. What is the length of the median AD, in cm?
SSC CHSL • 2025
Sum of A and B is 300 percent more than the sum of C and D. C is 50 percent more than D. If A is 200 percent more than B and D = 200, then what is the value of A?
SSC CHSL • 2025
Two chords, AB and CD, cross at point P inside a circle. Segments AP, PB, and CP have lengths of 6 cm, 8 cm, and 4 cm, respectively. How long is the chord CD in total?
SSC CGL • 2024
Find the gain percentage, given that siddhi sold her scooter for ₹71785 gaining 1over5 th of the selling price .
SSC Selection Post • 2022
The difference between the compound interest and simple interest on ₹X at the rate of 8.5% per annum for 2 years is ₹260.10. What is the value of X?
SSC CGL • 2024
If 4tanθ - 3 = 0, then the value of 1 - cos2θ over 1 + cos2θ .
SSC CHSL • 2025
Simplify the expression: (64/125)⁽2/3) × ⁴√(8) × (8/27)⁽3/4)
SSC GD • 2019
Anil goes to his office at the speed of 35 km/hr and returns to his home at the speed of 30 km/hr. If he takes total 39 hours, then what is the distance between his office and home?
SSC CHSL • 2023
Simplify the given expression (0.24×0.24×0.24-0.008)/(0.24×0.24+0.048+0.04)
SSC CHSL • 2025
The sum of three numbers is 144. If the numbers are in a ratio of 3:4:5, find the smallest number.
SSC CHSL • 2021
If a³ + b³ +c³-3abc = 250 and a + b + c=10, then what will be the value of (1/5)(ab + bc + ca)?
SSC CGL • 2024
A man can row a distance of 6 km in 1 hour in still water. He can row the same distance in 45 minutes with the current. Find the total time taken by him to row a distance of 16 km with the current and to return to the starting point.