Quantitative Aptitude PYQ — Page 136
24,303 questions across SSC exams.
SSC GD • 2023
What is the difference between the compound interest on Rs.5,750 for one year at 16% per annum compounded yearly and compounded half-yearly?
SSC CHSL • 2025
The length and breadth of a rectangle are in the ratio 14:11, respectively, and the perimeter of the rectangle is 150 cm. If the area of the rectangle is equal to the area of the top surface of a solid cylinder, then find the curved surface area of the…
SSC CGL • 2022
If x is the mean proportional between 12.8 and 64.8, then the value of x is:
SSC CHSL • 2021
A ladder 10 m long rests against a vertical wall making an angle of 30ᵒ with the wall. How high up (in m) does it reach the wall from the ground? (Take √3 = 1.73.)
SSC GD • 2025
If 2% of x = 288, then x is equal to:
SSC CGL • 2022
The following pie chart show the number of start-ups started in various sectors since 2016 and thenumber of successful start-ups in those sectors respectively. [Image] Out of all the start-ups that started since 2016, what percentage (approx. up to two…
SSC MTS • 2022
What is the smallest perfect square number that is divisible by both 10 and 15?
SSC GD • 2025
The average age of 48 students of a class is 10 years. If the age of the teacher is also included, the average age of the whole group becomes 11 years. The age (in years) of the teacher is:
SSC CHSL • 2021
Study the given bar graph and answer the following. The given bar graph reresent the Sales turnover (in crore Rs.) of five automobile companies A, B, C, D and E during 2014-2015 and 2015-2016. The X - axis represent the copanies and Y-axis shows Sales…
SSC Selection Post • 2024
The strength of a school increases and decreases every alternate year by 20%. It started with an increase in 2018. What is the strength of the school at the start of 2021 as compared to that of 2018?
SSC CGL • 2022
A thief steals a bike at 12:30 p.m. and drives it at 48km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58km/h. The thief will be caught at ____.
SSC CGL • 2019
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SSC CHSL • 2023
If θ be an acute angle and tanθ + cotθ = 2, then the value of 2 tan²θ+ cot²θ + tan⁴θcot⁴θ is:
SSC GD • 2025
A gun is fired at a distance of 1.35 km from Mukul. She hears the sound after three seconds. The speed (in m/s) at which sound travels is:
SSC CGL • 2024
The given table shows the marks obtained by a student in class 9. [Table] What is the percentage of marks obtained by the student?
SSC Selection Post • 2020
A shopkeeper has 76 articles of same price. He sells 20 articles at a profit of 15%, 40 at a profit of 19% and the remaining at a profit of 25%. He ends up making a profit of ₹27,740. The cost price (in ₹) of 1 article is:
SSC CGL • 2025
Simplify: (√(5+2√(6)))/(√(5-2√(6)))
SSC GD • 2021
Some articles are sold in such a way that the cost price of 60% of articles is equal to the selling price of 40% of the articles. The profit percentage is:
SSC CGL • 2025
From a point outside a circle, two tangents are drawn to the circle. If one of the tangents measures 12 cm, what is the length of the other tangent?
SSC CHSL • 2025
If 3(P's Capital) = 4(Q's Capital) = 7(R's Capital), then out of the total profit of Rs. 3150, R will receive:
SSC CHSL • 2021
Study the pie chart that shows the quantity wise sales distribution of five products (A, B, C, D and E) of a company in 2019 and answer the question that follows. [Image] If 2100 units of product C were sold in 2019 and the total number of units sold by the…
SSC GD • 2023
A hemispherical bowl is made of thick steel, whose thickness is 0.50 cm. If the outer diameter of the bowl is 43 cm, then the volume of the bowl is:
SSC CHSL • 2021
Solve the following equation. 2sqrt3sin²θ+cosθ-sqrt3=0 where θ is an acute angle
SSC CHSL • 2023
If x = ( sqrt6 - 1)^(1/3), then the value of (x - 1/x)³ + 3 (x - 1/x) is:
SSC Selection Post • 2024
Evaluate 7 ( (cosec 24^°)/(sec 66^°) )^3+ 8 ((cot 37^°)/(tan 53^°) )^4- ( 2(sec 14^°)/(cosec 76^°) )^2+ ( -3(tan82^°)/(cot8^°) )^3
SSC CHSL • 2024
A number is first decreased by 18% and the resulting number is then increased by 25%. What is the overall percentage change in the original number?
SSC CGL • 2019
The ratio of the present ages of A and B is 8 : 9. After 9 years, this ratio will become 19 : 21. C is 3 years younger to B. What is the present (in years) of C?
SSC GD • 2025
The price of fuel decreases by 40%, 30% and 10% in three successive months, but increases by 40% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?
SSC CHSL • 2024
In an election a candidate secured 47% of the votes and lost to his only opponent by 276 votes. Find the total number of votes polled.
SSC GD • 2024
X1, X2, and X3 can do work in 90, 45, and 67.5 days respectively. All three of them began the work together but X2 left 13.5 days before the completion of the work. In how many days was the work completed?(approximately)
SSC GD • 2023
Ram and Lakshman can complete a work in 15 and 20 days, respectively. If Bharat, Ram, and Lakshman all are working together, then they can complete the work in 5 days. How long will Bharat take to finish the work?
SSC CGL • 2022
Various expenditures incurred by publishing company for publishing a book in 2018 are given in the following pie-chart. Study the chart and answer the question. [Image] Price printed on a book is 15% above the cost price. If the price printed on a book is…
SSC CGL • 2025
If sin A = m/n and A ∈ (0, π/2), then what is cos A in terms of m and n?
SSC Selection Post • 2022
The value of cot (-315°) is :
SSC CHSL • 2024
(8⁶+1) when divided by 7, would leave a remainder of:
SSC Selection Post • 2020
How many distinct natural numbers are the divisors of (30)⁴?
SSC MTS • 2022
Two cylinders have their heights in the ratio 1 : 2 and their radii in the ratio 2 : 1. What is the ratio of their volumes?
SSC Selection Post • 2020
Naveena spent ₹1,800 on a dress and ₹3,270 on books and notebooks. She was still left with 35% of the total amount she had originally. Find the total amount she had originally.
SSC CGL • 2019
If the 8-digit number 789x531y is divisible by 72, then the value of (5x – 3y) is:
SSC GD • 2025
A and B can do a piece of work in 28 days; B and C can do the same work in 18 days and A, B and C together can do it in 16 days. The time required (in days) to finish the work by A and C is:
SSC GD • 2024
Selling price of an article is Rs. 8175 and discount offered is 25 percent. What is the marked price of the article?
SSC CHSL • 2024
Side BC of a bigtriangleup ABC is extended upto D such that CD = AC. If ∠ BAD = 118° and ∠ ACB = 80°, then the value of ∠ ABC is equal to:
SSC CGL • 2022
An isosceles ∆MNP is inscribed in a circle. If MN = MP = 16 √(5) cm, and NP = 32cm, what is the radius (in cm) of the circle?
SSC GD • 2023
In a school, the ratio of boys to girls is 7 : 11. If there are 3420 students in the school, then how many girls are there in the school? (There are only boys and girls in the school.)
SSC CHSL • 2024
If the speed of a boat in still water is 3 km/h and if its speed upstream is 1 km/h, find the speed of the stream.
SSC Selection Post • 2022
There are green, red and blue marbles in a bag their ratio is 5 : 4 : 6 respectively. If there are 135 marbles in the bag, what is the difference between the number of blue marbles and that of the red marbles?
SSC Selection Post • 2022
Study the given table and answer the question that follows. The table shows the production of different types of cars A, B, C, D, and E (in thousands) from 2012 to 2016. [Image] What is the ratio of the total production of type A cars in 2014 and type E cars…
SSC CHSL • 2024
A robber steals a bag from a man at 5 p.m. and starts running at 10 km/h. A policeman is informed about the robber at 5 : 12 p.m. and he chases him on a cycle at 15 km/h. At what time is the robber caught by the policeman?
SSC GD • 2023
If the third proportion to 8 and 18 is the same as the fourth proportion to 2, 81, and x² + 2x + 2, then find the value of x.
SSC GD • 2021
Two numbers are in the ratio of 2 : 3. The product of their LCM and HCF is 7350. The difference between the two numbers is: