Quantitative Aptitude PYQ — Page 182
24,303 questions across SSC exams.
SSC CGL • 2019
The sides AB and AC of ΔABC are extended to P and Q respectively. If the bisectors of ∠PBC and ∠QCB intersect at O, and ∠A = 92°, then ∠BOC is equal to:
SSC GD • 2025
Baban sold 150 chairs and had a gain equal to the selling price of 90 chairs. What is his profit percentage?
SSC CGL • 2023
Ram and Ramesh can do a work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh and Somesh work together, in how many days will they complete the work?
SSC CGL • 2019
ΔABC ~ ΔEDF and ar(ΔABC) : ar(ΔDEF) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC = 10 cm, then DF Is equal to(in cm):
SSC CHSL • 2023
What is the mean proportional between 3 and 27?
SSC CGL • 2020
The volumes of spheres A and B are in the ratio 125 : 64. If the sum of radii of A and B is 36 cm, then the surface area (in cm²) of A is:
SSC CGL • 2024
If the total number of fruits sold by a fruit seller in a day is 1200, then the number of bananas sold is ___.
SSC CHSL • 2025
In triangle DEF, side lengths are DE = 75 cm, EF = 100 cm, and DF = 125 cm. Let M be the midpoint of side DF. Find the length of EM.
SSC CHSL • 2025
The length of a chord that is at a distance of 5 cm from the center of a circle of radius 13 cm is:
SSC Selection Post • 2022
When a number is divided by 296, the remainder is 75. What will be the remainder when the same number is divided by 37?
SSC CGL • 2022
A hemispherical bowl made of iron has an inner diameter of 84 cm. Find the cost of tin plating it on the inside at the rate of 21rs per 100 cm² (take π = 22/7) correct to two places of decimal.
SSC GD • 2019
The population of Varanasi is 2,25,000. If the annual birth rate and death rate are 9 % and 7 %, calculate the population of city after 2 years.
SSC MTS • 2019
The simple interest on a sum fora certain number of years, same as the rate percentage of the interest, is equal to the sum itself. The number of years is equal to:
SSC CGL • 2022
The average of a set of 18 consecutive integers is 22.5. What is the largest integer in the set?
SSC CGL • 2020
If 5 sin²θ + 14cosθ = 13, 0ᵒ < θ < 90ᵒ, then what is the value of (secθ + cotθ)/(cosecθ + tanθ) ?
SSC CHSL • 2023
The following pie chart shows the percentage distribution of school expenditure. [Image] If the teacher's salary and rent together is ₹45 lakhs, then find the savings.
SSC CGL • 2020
In figure, if ∠A = 100ᵒ then ∠C = ? [Image]
SSC CHSL • 2021
The length of a rectangle is five times of its breadth. If the area of the rectangle is 3125 cm², then what is the length of the rectangle?
SSC CGL • 2019
In a ΔABC, right angled at B, AB = 7 cm and (AC – BC) = 1 cm. The value of (sec C + cot A) is?
SSC CHSL • 2023
If p/q = r/s = t/u = 2/5, then what is the value of (4p + 3r + 7t) : (4q + 3s + 7u)?
SSC CHSL • 2025
A started a business with ₹30,000. B joined after 6 months with ₹40,000. At the end of the year, what is the profit-sharing ratio?
SSC GD • 2024
If 70 percent of total articles are sold at a profit of 20 percent and remaining articles are sold at a loss of 10 percent, then what will be the overall profit percentage?
SSC CGL • 2023
Simplify the following expression. (2 x 7 - 5 + 9 ÷ 3) ÷ (4 + 2)²x 2
SSC GD • 2021
A nine-digit number 89563x87y is divisible by 72. What is the value of √7x-3y?
SSC CHSL • 2023
What is the mean proportional of 8.41 and 16.81?
SSC Selection Post • 2019
A sum of ₹7500 amounts to ₹11000 in 5 1/3 years at a certain rate percent per annum simple interest. The same sum will amount to ₹x in 2 2/3 years at the same rate of simple interest. The value of x is:
SSC CGL • 2023
The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio:
SSC GD • 2026
M and R together can do a work in 8 days. R and P together can do the same work in 6 days. P and M together can do the same work in 12 days. In how many days can P alone do the same work?
SSC GD • 2025
The simple interest on a principal amount (in ₹) is ₹486 for a period of 3 years at the rate of 8% per annum. The principal amount (in ₹) is:
SSC GD • 2023
The marked price of a chair was Rs.5,000. The shopkeeper was offering a discount of 20%, but on further bargaining agreed to offer a successive discount and finally sold the chair for Rs.3,600. What was the second discount offered by the shopkeeper?
SSC CGL • 2021
A sum of Rs.7500 amounts to Rs.9075 at 10%p.a; interest being compounded yearly at a certain time. The simple interest (in Rs) on the same sum for the same time and the same rate is :
SSC GD • 2025
What will be the volume (V) of the cuboid, if its length is doubled, height is halved and breadth is tripled?
SSC GD • 2023
24 men complete a work in 9 days. 3 days after they started working, 8 more men joined them. How many days will all of them take to complete the remaining work?
SSC Selection Post • 2022
The income of A is 25% more than that of B, and B’s income is 20% more than that of C. D’s income is 60% of the combined income of B and C. Which of the following is true?
SSC CGL • 2022
In △PQR, S is a point on the side QR such that ∠QPS = 1/2 ∠PSR, ∠QPR = 78º and ∠PRS = 44º. What is the measure of ∠PSQ?
SSC CHSL • 2022
If x² = b - ax and x³(x³ + c) = d, then which of the following can be the value of c and d?
SSC CGL • 2018
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the…
SSC MTS • 2022
The average of 8 consecutive integers are 27/2 . What is the average of the largest four of these integers?
SSC CHSL • 2024
The shortest length of the intercept between the x-axis and y-axis of the equation 6x + 8y - 48 = 0 is:
SSC CGL • 2024
In triangle XYZ, A is a point on YZ such that XA=YA. IF ∠ XYA = 50° and ∠ AXZ = 19° what is the degree measures of ∠XZA?
SSC GD • 2023
Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm
SSC Selection Post • 2022
20 men can complete the work in 10 days. Five days after they started working, 5 more men joined them. In how many days will the total work be completed?
SSC CGL • 2023
A 15-cm-long perpendicular is drawn from the center of a circle to its 40-cm-long chord. Find the radius of the circle.
SSC MTS • 2022
18 men can do a piece of work in 20 days. After working for 8 days, they get a notice to complete the work 4 days earlier than originally scheduled. How many more men will be required to be hired to complete the work as per the new schedule?
SSC CGL • 2020
A shopkeeper bought 80 kg of rice at a discount of 10%. Besides 1 kg rice was offered free to him on the purchase of every 20 kg rice. If he sells the rice at the marked price, his profit percentage will be:
SSC GD • 2025
The population of a district is 383000, out of which 221000 are males. 58% of the population is literate. If 58% males are literate, then what percentage of females are literate?
SSC CHSL • 2024
In an election between two candidates, 10% of the voters did not cast their votes and 5% of the votes polled were found invalid. The successful candidate got 52.5% of the valid votes and won by a majority of 1710 votes. The number of voters enrolled on the…
SSC GD • 2025
The price of fuel decreases by 35%, 10% and 30% in three successive months, but increases by 65% 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 GD • 2023
If the price of petrol is increased by 40%, by what percentage (rounded off to 1 decimal place) should its consumption be decreased so that the expenditure on petrol remains the same?
SSC CHSL • 2023
A blended tea in a barrel contains Assam, Darjeeling and Nilgiri Hills in the ratio 2:3:1. Another barrel contains Darjeeling, Nilgiri Hills and Kangra Valley in the ratio 5.4.3. If equal weights of both blended tea mix together to make a new brand, then the…