Quantitative Aptitude PYQ — Page 409
24,303 questions across SSC exams.
SSC CHSL • 2021
Study the given graph and answer the question that follows. [Image] What is the ratio of the total revenue of the company in 2015 and 2018 to the total expenditure in 2017 and 2018?
SSC CGL • 2020
If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x + y + z ?
SSC GD • 2021
The value of 75div30-3/4of(5/7div9/14)-(31/3-12/3) is:
SSC CHSL • 2023
A train running at 26.5 km/h takes 18 s to pass a platform. Next, it takes 12 s to pass a man walking at 5 km/h in the opposite direction. Find the length of the platform.
SSC CHSL • 2022
If cos 2 A = sin 75^∘ , then the smallest positive value of A is:
SSC GD • 2019
The data given below shows the number of people who have saved a certain amount of money. [Table] What is the mode of the given data?
SSC Selection Post • 2022
If the number 556743A57B is divisible by 8 and 9, then find 2A – B.
SSC CGL • 2024
9÷ bigg [1 + \ 4 × bigg( 5over6 - 1over3 + 1over2̅ bigg) \ bigg] is equal to:
SSC CGL • 2023
If (x - 1/x)=10 , what is the value of (x⁴ + 1/(x⁴)) ?
SSC CGL • 2023
The length of a hall is 21 m and the width is 14 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
SSC CGL • 2023
In what time will ₹3,720 amount to ₹5,282.4 at 12% simple interest per annum?
SSC Selection Post • 2022
If 6 cos²θ + cos θ = 2, 0° < θ < 90°, then the value of (cosec θ + cot θ + tan θ) is:
SSC CHSL • 2023
The fourth proportion of number 8, 20 and 15 is:
SSC CHSL • 2025
Average age of group A of 20 students is 40 years. Average age of group B of 40 students is 'x' years. Combined average age of group A and group B is 50 years. What is the value of 'x'?
SSC CGL • 2023
If cosecθ + cotθ = m, find the value of (m²-1)/(m²+1)
SSC CHSL • 2021
If (2a + 3b) (2c - 3d) = (2a - 3b) (2c + 3d), then:
SSC CGL • 2023
P is two times more efficient than Q. P can complete a piece of work in 40 days less than Q. Working together, the whole number of days taken by them to complete the work is: (Round off to the nearest integer.)
SSC Selection Post • 2023
Find the fourth proportion to the numbers 20, 32 and 36.
SSC CHSL • 2024
In which of the following years was the difference between the production by companies X and Z the maximum among the given years?
SSC CGL • 2023
In the following figure, the length of arc AB is equal to five times of the radius r of the circle. Find the area of sector AOB? [Image]
SSC Selection Post • 2022
A tradesman marks his goods at 30% above the cost price. If he allows the customers a 10% discount, how much percentage does he make as profit?
SSC CGL • 2021
A train covers 450 km at a uniform speed. If the speed has been 5 km/h more . it would have taken 1 hour less to cover the same distance. How much time will it take to cover 315 km at its usual speed ?
SSC CHSL • 2023
The radius of a wheel is 14cm. How much distance will be travelled by the wheel in 10 revolutions?
SSC CHSL • 2021
From a rectangular sheet of dimensions 32cm × 18cm, a square of side 3 cm is cut from the four comers of the sheet and a box is made. The volume of the box is:
SSC CHSL • 2021
If (7x + 3)³ + (x - 2)³ + 27(2x-5)³ = 9(7x + 3) (x-2) (2x-5), then the value of 5x + 3 is
SSC CGL • 2022
The average mark of 60 students in a class is 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is:
SSC CHSL • 2025
Average age of group A of 10 students is 20 years. Average age of group B of 20 students is 'x' years. Combined average age of group A and group B is 34 years. What is the value of 'x'?
SSC Selection Post • 2022
A car covers the first 80 Km of its journey at a speed of 40Km/h. The driver makes a stop at the tea-stall for 30 minutes and then continues his journey at a speed of 60 Km/h for 4 hours. What is his average speed (in Km/h, correct to 1 decimal place)?
SSC CHSL • 2019
In a class of 80 students, the ratio of the urban to the rural is 5 : 3. In a test, the average score of the rural students is 40% more than the urban students. If the average score of all the students is 69, then what is the average score of the rural…
SSC GD • 2021
Two trains of length 120m and 180m are travelling in opposite directions at the uniform speed of 34 km/h and 32 km/h. The time taken by the two trains to pass each other is:
SSC CHSL • 2022
In a decade, a town's population grew from 1,75,000 to 2,62,500. What is the average annual percentage increase in population?
SSC CGL • 2025
Which of the following numbers is both a Rational Number and a Terminating Decimal?
SSC CHSL • 2020
If cos²θ + cos⁴θ = 1, then the value of sinθ + sin² θ is:
SSC CGL • 2022
In an examination, the average marks of a student per paper were 71. If he would have obtained 35 more marks in sciences; 11 more marks in history and 4 more marks in computer science, his average marks per paper would have been 76. How many papers were…
SSC MTS • 2019
What is the ratio of the total number of books on Arts to that of Science?
SSC CHSL • 2022
In an election between two candidates, a candidate who gets 72% of the votes is elected by a majority of 572 votes. Find the total number of votes polled. (assuming all votes are valid)
SSC Selection Post • 2020
What will be the compound interest on a sum of ₹2800 for 2 years at 15% per annum compounded annually?
SSC Selection Post • 2020
A shopkeeper earns a profit of 25% when he sells an article by allowing a 20% discount on its marked price. If the cost price of the article is decreased by 20%, how much discount percentage should he allow now on the same marked price so as to earn the same…
SSC Selection Post • 2024
P drives a car for 5 hours and after every hour he doubles the speed. In the fifth hour, his speed is 128 km/h. What is his average speed of the journey in km/h?
SSC CHSL • 2024
The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. The numbers in the brackets give the maximum marks in each subject. [Table] How many students secured a raw score of 135 in Maths?
SSC CGL • 2024
A policeman noticed a thief at a distance of 500 metres. The policeman started running and the thief also started running at the same time. The thief is running at a speed of 15 km/h. It took 15 minutes for the policeman to catch the thief. Find the speed of…
SSC CHSL • 2023
What is the present value of the sum if the interest compounded at the rate of 18% per annum for two years is Rs. 981?
SSC CHSL • 2023
Study the following table carefully and answer the question that follows. [Table] In the case of which state/UT was there a continuous increase in the number of students over the given years?
SSC CGL • 2023
If x=1/(x-3), (x > 0) , then the value of x+1/x is:
SSC GD • 2019
A boat can cover 36 km down stream and 16 km up stream in 10 hours. It can cover 3 km down stream and 1.2 km up stream in 48 minutes. What is the speed (in km/hr of the boat when going up stream?
SSC CHSL • 2025
Find the square root of 14 + 6√5.
SSC CGL • 2023
An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely-filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets completely filled in 105 hours. Find…
SSC CHSL • 2025
Solve: 16³ᐟ² + 16⁻³ᐟ² = ?
SSC CGL • 2022
If √x - 1/√x = √3, then what is the value of x⁴ + 1/(x⁴) ?
SSC CGL • 2020
In the right triangle shown in the figure, what is the value of Cosecθ ? [Image]