Quantitative Aptitude PYQ — Page 258
24,303 questions across SSC exams.
SSC CHSL • 2024
If the height of a right circular cone is 24 cm and the radius of its base is 10.5 cm, then the volume of the right circular cone (in cm³) is: Take π = 22/7
SSC CHSL • 2024
If tan A = sqrt2 - 1 then find the value of sinAcosA + tanA.
SSC GD • 2019
The pie chart given below shows sale of different types of cars in a city for a given year. The total sale of cars in the city is 600000. [Image] How many T4 cars are sold in the city for the given year?
SSC CGL • 2023
Simplify: 220 + 80 ÷ [63 - {7 × 8 + (13 - 2 × 4)}]
SSC CGL • 2021
The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years (2012 to 2020). [Table] What is the difference between the average of the number of boys in the Commerce stream for the 5 years and…
SSC Selection Post • 2022
A can work twice as fast as B. If they complete a work together in 18 days, then in how many days will B alone complete the same work?
SSC CHSL • 2019
Two trains of equal length travelling in opposite directions at 72 km/h and 108 km/h cross each other in 10 second. In how much time (in seconds) does the first train cross a platform of length 350 m?
SSC CGL • 2023
tan 4384⁰ + cot 6814⁰ = ?
SSC CHSL • 2025
A right circular cylinder's height increases by 96% while its radius decreases by 25%. What is the approximate percentage change in its volume? Select the nearest integer.
SSC Selection Post • 2022
Seven years ago, the ratio of the ages of A and B was 2 : 7. The ratio of their present ages is 3 : 8. What will be the ratio of the ages of A and B, four years from now?
SSC CGL • 2022
R jogs at twice the speed of walking and runs at twice the speed of jogging. From his home to office, he covers half of the distance by walking and the rest by jogging. From his office to home, he covers half the distance jogging and the rest by running…
SSC CHSL • 2023
The average weight of a group of 12 children is 66 kg. If 2 children, X and Y replace A and B, the new average weight becomes 65 kg. The weight of A is equal to the weight of B and the weight of X is equal to the weight of Y. Another child, C, is included in…
SSC GD • 2021
A loss of 10 1/2% gets converted into a profit of 11 3/5% when the selling price is increased by ₹132.60. The cost price (in ₹) of the article is:
SSC MTS • 2019
The cost price of an article if 6/7 of its selling price. What will be the profit or loss percentage?
SSC CGL • 2022
If a over b+b over a=1 and a + b = 2, then the value of a³ + b³ is:
SSC Selection Post • 2019
A train X running at 72 km/h crosses another train Y running at 54 km/h in opposite direction in 15 seconds. If the length of Y is two-fifth that of X, then what is the length (in meter) of X?
SSC Selection Post • 2022
In ΔABC, AB = 20 cm, BC = 7 cm, and AC = 15 cm. Side BC is produced to D such that ΔDAB ~ ΔDCA. The length of the CD is:
SSC CHSL • 2023
One litre milk costs Rs 40. Water is mixed with milk and the mixture was sold at Rs 30 per litre. Find the ratio of water and milk in the mixture.
SSC CGL • 2023
The monthly income of a person was Rs 12,000 and his monthly expenditure was Rs 8,000. Next year, his income increased by 10% and his expenditure by 8%. Find the percentage increase in his savings.
SSC CHSL • 2025
A train 120 meters long passes a man running at 6 km/h in the same direction in 6 seconds. What is the speed of the train?
SSC Selection Post • 2024
In a 3000 m race, if vehicle A gives vehicle B a start of 400 m, then vehicle A wins the race by 10 s. If vehicle A gives vehicle B a start of 750 m, then the race ends in a dead heat. How long does vehicle A take to run 3000 m?
SSC MTS • 2022
Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second is:
SSC CHSL • 2019
In ΔABC, D is a point on side AB such that BD = 2 cm and DA = 3 cm. E is a point on BC such that DE || AC, and AC = 4 cm. Then (Area of ΔBDE) : (Area of trapezium ACED) is?
SSC CGL • 2024
In how many years will ₹7,200 amount to ₹8,928 at a simple interest rate of 8% per annum?
SSC CGL • 2024
The total amount of expenditure of the company____times that of expenditure on R & D.
SSC CGL • 2022
The given histogram shows the daily wages (in Rs) of workers in a factory. Study the histogram and answer the questio that follows. [Image] The number of workers with daily wages less than Rs 180 is what percentage of the number of workers with daily wages…
SSC CGL • 2016
A Village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the orignal number before the flood?
SSC CHSL • 2025
If the length of a rectangular field is increased by 25%, then by what percentage should its breadth be reduced so that the area of the field remains constant?
SSC CGL • 2023
A shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?
SSC CHSL • 2024
Divide 25 into two parts such that 6 times the larger part added to 4 times the smaller part is equal to 130. Find the larger part.
SSC CGL • 2019
If 12sin θ = 5 cos θ, then sin θ + cos θ – cot θ is equal to:
SSC CGL • 2022
An equilateral triangle ABC is inscribed in a cicle with centre O. D is a point on the minor are BC and ∠CBD = 40°. Find the measure of ∠BCD.
SSC CGL • 2023
A toffee company prepares toffee of two different flavours X and Y. The production of two flavours over a period of 4 years is expressed in the bar graph given below. [Image] What is the difference between the average production of flavour X in 2017 and 2018…
SSC CGL • 2025
A vertical pole of height H stands on the ground. From a point P on the ground, the angle of elevationof the top of the pole is 60°. From a different point Q, located 10 meters away from point P (directly along the line extending from the base of the pole)…
SSC Selection Post • 2022
A new scooter is valued at ₹1,20,000. At the end of each year, its value is reduced by 12% of its value at the start of the year. What will be its value (in₹) after 2 years?
SSC CGL • 2022
If tanA + cot A =2, then the value of 2(tan²A+cot²A) is :
SSC CHSL • 2024
If 640 ÷ 8 + 930 ÷ 15 – k + 32 × 5 = 1104 ÷ 16 × 148 ÷ 37, then the value of k is:
SSC CHSL • 2023
The line chart given below shows the number of girls in 7 schools. [Image] Number of girls in S1 is how much percentage less than the number of girls in S2?
SSC CGL • 2024
If x+1/9x = 3, then the value of 9x²+1/(9x²) is:
SSC CGL • 2023
The following bar chart represents the gross amount (in Rs. Lakhs) and total cost (in Rs. lakhs) of a firm. [Image] In order to make a profit of 25%, what should the gross amount have been (in Rs. crores) in 2019-2020, if the total cost remained the same?
SSC CHSL • 2024
If a person’s salary increases from ₹200 per day to ₹234 per day, then the percentage increase in the person’s salary is:
SSC CGL • 2023
Study the given pie-chart and answer the question that follows.The pie-chart shows the expenditure incurred in the preparation of a book by a publisher, under various heads. [Image] What is the difference between the angle of the pie chart showing the…
SSC CHSL • 2025
What sum will amount to ₹8800 in 2 years at 10% simple interest per annum?
SSC CGL • 2022
Anup can row 33 km downstream and 35 km upstream in 8 hours. He can also row 44 km downstream and 28 km upstream in the same time. How much time (in hours) will he take to row 55 km downstream and 14 km upstream?
SSC CHSL • 2024
A line from point A is drawn that is tangent to the circle at point B. A secant is also drawn from point A to the circle intersecting it at points C and D. If AB = 42 cm and AC = 21 cm, then what is the ratio between AB and CD?
SSC CGL • 2023
(N + 15) persons, each working for 9 hours a day, can complete 36% of a work in 8 days. (N + 9) persons can complete the remaining work in 20 days, if each of them works for 7 hours per day. Determine the value of N.
SSC CGL • 2023
4 women and 7 men earn a total of ₹11,480 in 7 days, while 10 women and 17 men earn a total of ₹36,360 in 9 days. How much will 11 women and 9 men together earn (in ₹) in 13 days?
SSC GD • 2021
A person walking at a speed of 7.2 km/h and crosses a bridge in 25 minutes. Find the length of the bridge (in metres)
SSC CGL • 2023
In a ∆ABC, if ∠A = 90° AC = 5 cm, BC = 9 cm and in ∆APR ∠P = 90° PR = 3 cm, QR = 8 cm, then:
SSC CHSL • 2019
If cosθ = 4x and sinθ = 4/x, x ≠ 0, then the value of (1/x² + x²) is: