Quantitative Aptitude PYQ — Page 330
24,303 questions across SSC exams.
SSC CHSL • 2025
A sheet metal roof in the shape of a right triangular prism needs painting on its top and lateral surfaces only. Base triangle has sides 6, 8, 10 cm and prism length is 12 cm. Find the painted area.
SSC Selection Post • 2022
If 1 over 1+ tanθ + 1 over 1- tanθ = 4, 0° < θ < 90°, then what is the value of cosec θ + sec θ + sin θ?
SSC CGL • 2022
If tan θ + sec θ = 7, θ being acute, then the value of 5 sin θ is:
SSC CHSL • 2025
If two circles of radii r1 and r2 have n common tangents, and the distance between their centers is less than |r1 - r2|, then n is:
SSC CHSL • 2020
If the single discount equivalent to successive discounts of 20% and x% is 24%, then the value of x is:
SSC CGL • 2023
Ramlal marks up his goods by 40% and gives a discount of 10%. What is his net profit.
SSC CHSL • 2025
A man invested Rs. 30,000 each in two separate schemes at 10% p.a. for 4 years. One scheme gives simple interest, while the other gives compound interest, compounded annually. Find the difference between the total interest earned from both.
SSC CGL • 2023
If sec Ø + cos Ø = 32, then sec²Ø + cos² Ø is ___.
SSC Selection Post • 2024
The following pie charts show the data of the number of appeared and passed students of class 12 in sections A,B,C,D and E. [Image] Find the difference between the number of students who appeared for the exam in sections A and B
SSC CHSL • 2024
Gaurav marks his goods 50% above the cost price and offers a discount of 30% on the marked price to his customers. What is his percentage gain?
SSC CHSL • 2022
Which of the following can be a rationalising factor of (√2 + √3 + √5) ?
SSC CGL • 2023
A 6-digit number has digits as consecutive natural numbers. The number is always divisible by _.
SSC CGL • 2022
What is the HCF of 36 and 198?
SSC CGL • 2025
From the top of a 50 m tower, the angle of depression of two objects on the same side of the tower are 45 and 60. Find the distance between the objects.
SSC CGL • 2025
A rock climber uses a rope to ascend a cliff. If the vertical height of the cliff is 35 meters and the rope makes an angle of 30° with the level ground, what is the minimum length of the rope required to reach the top?
SSC Selection Post • 2022
Study the given graph and answer the question that follows. [Image] What is the difference between the production of rice in state C in 2016 and the production of rice in state B in 2019?
SSC CGL • 2025
A square tile of area 225 cm² is cut into two equal rectangular tiles. What will be the perimeter of each new tile?
SSC CGL • 2021
A shopkeeper allows 16% discount on every item. Even after giving the discount, he makes a profit of 8%. If he gives 8% discount instead of 16% on an item marked for Rs 1800 , then what will be his profit percent? ( correct to 2 decimal places).
SSC Selection Post • 2022
A person travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at a constant speed of X km/h. The value of 2X is:
SSC Selection Post • 2022
What is the average of 1, 5, 7, 8, and 9?
SSC GD • 2019
A sum of Rs. 4200 becomes Rs. 5082 in 3 years rate simple interest. What is the rate of interest per annum?
SSC CGL • 2022
Rs.2,500, when invested for 8 years at a given rate of simple interest per year, amounted to Rs.3,725 on maturity. What was the rate of simple interest that was paid per annum?
SSC Selection Post • 2022
In a school, there are 15 boys and 10 girls in class X. The average age of the boys is 16, while the average age of the girls is 15. Find the average age of the students in the class.
SSC CGL • 2022
A train covers a distance of 225 km in 21/2 hours at a uniform speed. The time taken by the train (in hours) to cover a distance of 630 km at the same speed is:
SSC CGL • 2025
A taut wire supports a vertical pole. The wire is fixed to the ground 10 meters away from the base of the pole and makes an angle of 60" with the ground. What is the length of the wire?
SSC CHSL • 2023
The ratio of the number of men to the number of women in an office is 2 : 3. If the average weight of the men and the women in the office are 56 kg and 51 kg, respectively, find the average weight of the employees in the office. (in kg)
SSC Selection Post • 2024
X and Y can do a piece of work in 18 days and 27 days, respectively. Starting with X, they work on alternate days. The whole number of days to complete the work by X and Y is:
SSC CHSL • 2024
Which of the following are the sides of a right-angled triangle?
SSC Selection Post • 2024
A and B can do a work in 15 days and 30 days, respectively. They start working together, but A leaves after 3 days. How much time will B take to complete the remaining work?
SSC CHSL • 2020
In the given figure, AP is perpendicular to BC, and AQ is the bisector of angle A. What will be the measure of angle PQA? [Image]
SSC CGL • 2023
Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours. When the cistern is empty, 9 inlet pipes and 10 outlet pipes are simultaneously opened. After how many hours will the…
SSC CHSL • 2020
Rahul and Mithun travel a distance of 30 km. The sum of their speeds is 70 km/h and the total time taken by both to travel the distance is 2 hours 6 minutes. The difference between their speeds is:
SSC CHSL • 2023
If A + B = - 5 and AB = 6, then find the value of A³ + B³
SSC CGL • 2019
In a circle with center O, ACBO is a parallelogram where C is a point on the minor arc AB. What is the measure of ∠AOB?
SSC Selection Post • 2022
If a + 1overa+1 = 3, then what is the value of (a + 1)³ + 1over(a+1)³ ?
SSC CGL • 2021
The following Bar graph represents the Export of Tea (in lakh tonnes) by two companies A and B during the years 2010 to 2015. Study the chart and answer the question written below: [Image] What is the ratio of the total exports of company B in 2011 and 2014…
SSC CGL • 2020
Arrange the angles of the triangle from smallest to largest, where the sides are PQ = 7 cm, PR = 8 cm, QR = 9 cm.
SSC CHSL • 2024
Ravi sells his goods at a 25% loss on cost price but uses 45% less weight. What is his percentage profit or loss?
SSC Selection Post • 2022
There are two symbols available for voters to cast their votes - Car and Umbrella. The ‘Umbrella’ got 2412 votes, which was 120% of the votes of the ‘Car’. How many votes were cast in total?
SSC Selection Post • 2019
The ratio of monthly incomes of A and B is 3: 4 and the ratio of their monthly savings is 7: 6, If the income of A is equal to twice the expenditure of B. then what is the ratio of the expenditures of A and B?
SSC Selection Post • 2024
A cube is having surface area of 5400 square units. Its volume would increase approximately __ if the side is increased by 5 units.
SSC CGL • 2023
The value of cosec 30° − cos 60° is:
SSC CGL • 2025
If the fourth proportion to 17, X, and 7 is 91, then find the value of X.
SSC Selection Post • 2022
The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.
SSC Selection Post • 2023
In 5 years, the interest on an amount of Rs. X is 2 over 5 th of the principal. The rate of interest per annum is:
SSC CHSL • 2024
A class of 25 students took an English test. 15 students had an average score of 80. The other students had an average score of 60. What is the average score of the whole class?
SSC MTS • 2019
A train crosses two platforms of lengths 1000 , and 600 m in 80 seconds and 60 seconds recpectively. What is the length of the train?
SSC CHSL • 2024
Simplify. [ 6 - 2 \ 3 - 4 ( 4 ÷ 1/4 - 1 ) + 2 ÷ 1/3 \ - 3 × 2 ]
SSC MTS • 2022
Rahul's monthly income is Rs 1,50,000. Out of this, he saves Rs 1,500. Find the percentage of his savings.
SSC GD • 2019
Sanjay scored 75 out of 150 marks in his mid-term exam and 105 out of 150 in his annual exam. The percentage increase in his marks is: