Quantitative Aptitude PYQ — Page 131
24,303 questions across SSC exams.
SSC Selection Post • 2022
The perimeter of a square is 168 metres. What is its area?
SSC CHSL • 2022
What will be the area of a triangle whose sides are 13 cm, 5 cm and 12 cm?
SSC CHSL • 2025
In a warehouse, 7 crates of goods have an average weight of 84.5 kg. One of the crates, weighing 79.2 kg, is replaced by a new crate. As a result, the average weight becomes 87.1 kg. Later, 3 more crates are added, each weighing 91.3 kg. What is the weight…
SSC CGL • 2021
The value of tan²30 + sin²90 + cot²60 +cos²45 sin²30 over sin60 cos30 - cos60sin30 is:
SSC CHSL • 2024
CD is a tangent to a circle of circumference of 88 cm with its centre at O. OC cuts the circle at P while OD cuts circle at V such that ∠COD = 90°. Length of PC is 6 cm. What is half of CD (in cm) if OD exceeds OC by 1 cm?
SSC CGL • 2020
A and B start moving towards each other from places X and Y, respectively, at the same time. The speed of A is 20% more than that of B. After meeting on the way, A and B take [Image] hours and x hours, now to reach Y and X, respectively. What is the value of…
SSC GD • 2023
A trader gains 12% after allowing a discount of 20% on the marked price of an article. Find his profit percentage if the article is sold at marked price allowing no discount.
SSC CGL • 2019
In ΔPQR, QT ⊥ PR and S is a point on QR such that ∠PSQ = p°. If ∠TQR = 46° and ∠SPR = 32°, then the value of p is?
SSC CGL • 2024
Out of the number of qualified candidates from State X in 2010, the ratio of male to female candidates is 5 : 7. If the number of female qualified candidates from State X in 2010 is 168, what is the number of appeared candidates (both male and female) from…
SSC GD • 2023
Ravi can decorate a wall in 6 hours, while Ankita can decorate the same wall in 10 hours. In how many hours will they decorate the wall working simultaneously?
SSC CHSL • 2024
The perimeter of a semi-circle is 56.54 cm. What is its diameter (in cm)? (Use π = 3.14)
SSC CGL • 2025
In a circle with center O, chords AB and CD are equal in length. If the distance from O to AB is 8 cm, what is the distance from O to CD?
SSC GD • 2025
Zakir travels from City A to City B. If Zakir drives his car at 2 over3 of his normal speed, then he reaches City B 45 minutes late. Find the time (in minutes) that Zakir would have taken to travel from City A to City B if he drove at his normal speed.
SSC CGL • 2025
If sin A = 3/5 , then what is sin²A + cos²A - 2 sin A cos A?
SSC CHSL • 2025
A number is said to be pure recurring if:
SSC Selection Post • 2024
In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit. The error percent in the area calculated from these measurements is:
SSC GD • 2023
Rs.11,500 is borrowed at compound interest at the rate of 5% per annum, compounding annually. What will be the amount to be paid after 2 years?
SSC CGL • 2023
What is the value of (27x³+ 58x²y + 31xy²+ 8y³), when x = 5 and y = -7?
SSC CGL • 2025
A cylinder (r = 6 cm, h = 12 cm) is bored through by a hole (r = 3 cm, full height). What percentage of the original volume is removed?
SSC GD • 2021
Find the least number that should be added to 1014 such that the resulting number can be divided by 3, 4, 5 and 6, leaving no remainder.
SSC CGL • 2022
X, Y, and Z can work complete a piece of work in 46 days, 92 days, and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?
SSC GD • 2023
How many metallic spheres, each of diameter 3 cm, should be melted to mould into a solid cylinder of diameter 4 cm and height 54 cm?
SSC GD • 2025
A man goes to Ahmedabad from Kolkata at a speed of 4km/hr and returns to Kolkata at a speed of 12km/hr, through the same route. What is his average speed (in km/hr) for the entire journey?
SSC CHSL • 2023
A laptop is marked at a price 20% above its cost price. At what discount percentage should it be sold to make a 5% profit.
SSC GD • 2023
The average sales of an electronics shop in the years 2001, 2002, 2003, and 2004 is Rs.1850, and that for the years 2002, 2003, 2004, and 2005 is Rs.2125. If the sales in 2005 were Rs.1200, then find the sales in 2001.(in Rs.)
SSC CGL • 2019
If the data related to the production of cars in 2018 is represented by pie chart, then the central angle of the sector representing the production of type C cars will be:
SSC CHSL • 2023
If in the sales department of a company, the average salary per employee is Rs. 350, average salary of 10 senior employees is Rs. 450 per employee and the average salary of the remaining staff is Rs. 250 per employee, then what is the total number of…
SSC GD • 2025
The smallest natural number which is divisible by 26, 8, 11 and 13 is:
SSC CHSL • 2023
If △ ABC cong PQR, and ∠ C = 80°, ∠ A = 10°, then what will be the measure of ∠ Q?
SSC GD • 2023
The present value of a house is Rs. 46,40,000. If its value depreciates at the rate of 5% per annum, then the value of the house after 3 years will be:
SSC MTS • 2022
The marked price of a cup is 20% more than its cost price. What can be the maximum discount given while selling the cup so that there is no loss incurred? [Give your answer correct to 2 decimal place.]
SSC GD • 2025
If at same rate of interest, in 2 years, the simple interest is ₹40 and compound interest is ₹50, then what is the principal (in ₹)?
SSC CGL • 2021
if cos(A - B) = (√(3))/2 and cot (A + B) = 1/(√(3)) , where A - B and A + B are acute angles, then (2A -3B) is equal to:
SSC CPO • 2025
A grocer sells rice at a profit of 20% but mixes stones and claims the weight is 1 kg when it is actually 800 g. What is his actual profit percentage?
SSC CHSL • 2021
A man sells articles for Rs.620 each, one at a profit of 24% and the other at a loss of 24%. What is his loss/profit percent in the whole transaction?
SSC Selection Post • 2019
The sides of a triangular park are 36m. 105m and 111m. What is the cost of levelling the park at ₹8.40 per m²?
SSC CGL • 2024
The ratio of the total number of people surveyed who take tea more than 3 times a day to the number of people who do not take tea at all is
SSC CHSL • 2023
What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?
SSC CGL • 2021
Study the following table and answer the question: Percentage of marks obtained by six students A, B, C, D, E, and F in five subjects. [Table] The total marks obtained by students C, D, and F in Science is what percent more than the total marks obtained by B…
SSC GD • 2023
Two trains start at the same time from Mumbai and Delhi and proceed towards each other at speeds of 15 km/h and 26 km/h, respectively. When they meet, it is found that one train has travelled 99 km more than the other. The distance between the two stations is:
SSC CGL • 2025
In a circle, points P, Q, R, and S lie on the circumference such that chords PR and QS intersect at the center, and both ∠RPQ and ∠RSQ are subtended by the same arc RQ. If ∠RPQ = 50°, what is the measure of ∠RSQ?
SSC CGL • 2021
The area of a quadrant of a cirlce is (π)/9 m². Its radius (in metres) is equal to:
SSC Selection Post • 2022
What is the third proportion of 4 and 28?
SSC Selection Post • 2022
Praveen is offering a 10% discount on all clothes to sell the stock as early as possible. One of his friends, Vijay, came to the shop and purchased a coat. Because of their friendship, Praveen gave an additional 6% discount to Vijay. What was the price of…
SSC CGL • 2024
A thief takes off on his bike at a certain speed, after seeing a police car at a distance of 250 m. The police car starts chasin the thief and catches him. If the thief runs 1.5 km before being caught and the speed of the police car is 70 km/h, then what is…
SSC GD • 2025
Evaluate: (-9) - (-60) ÷ (-15) + (-3) × 6
SSC CGL • 2024
Three pipes P, Q and R can fill a cistern in 40 minutes, 80 minutes and 120 minutes, respectively. Initially, all the pipes are opened. After how much time (in minutes) should the pipes Q and R be turned off so that the cistern will be completely filled in…
SSC CHSL • 2024
80% of the combined average production of companies B and C is what percentage (to the nearest integer) more/less than 90% of the average production of company A, for the given period of 2012 to 2017?
SSC CHSL • 2020
If x + y = 14; x³ + y³ = 1064, then the value of (x – y)² is:
SSC GD • 2021
The ratio of efficiencies of X and Y for doing a certain work is 5 : 9. Working together, they can complete a work in 15 days, X alone will complete 66(2/3)% of the same work in: