Quantitative Aptitude PYQ — Page 356
24,303 questions across SSC exams.
SSC Selection Post • 2022
In a class, the average marks of girls in an examination are 75, and those of the boys are 64. The average score of the whole class is 68.4. What is the percentage of girls in the class?
SSC Selection Post • 2020
A vender bought 40 dozen fruits for ₹3,000. Out of these, 30 fruits were rotten and thrown away. At what rate (in) per dozen should the vendor sell the remaining fruits to make a profit of 25% in the entire transaction?
SSC CHSL • 2021
The marked price of an article is Rs 1,280. If a shopkeeper sold the article at 12% profit after giving a 30% discount then, the cost price of the article is:
SSC CGL • 2016
An army of 12000 consists of Europians and Indians. The average height Of European if 5ft 10 inches and that of an Indian is 5ft 9inches and that of the whole army if 5 ft 39/4 inches. Then the number of Indians in the army is?
SSC Selection Post • 2022
In △ABC, D and E are the points on sides AB and AC, respectively, such that DE ll BC. If AD = x, DB = x - 2, AE = x + 2, and EC = x - 1, then (AB + EC) is equal to (all measurements in cm):
SSC MTS • 2022
The following bar chart shows the marks obtained (out of 100) by a student in 6 different subjects in an examination. [Image] The total marks obtained by the student in S2 and S4 taken together is what percentage more than the marks obtained by the student…
SSC CGL • 2025
A farmer ordered 15 kg of high-quality seeds and some low-quality seeds. The price of high-quality seeds per kg was three times that of low-quality seeds. Due to a mistake, the quantities of the two types were swapped. This reduced the total cost by 20%…
SSC Selection Post • 2022
If sec θ + tan θ over sec θ - tan θ = 5 over 3 0°< θ < 90°, then what is the value of (cosec θ + cos θ + cot θ)?
SSC CHSL • 2025
A sum of money becomes 16 times in 2 years. What is the annual compound interest rate?
SSC CGL • 2023
Simplify (1+sint)/(4-4sint) -(1-sint)/(4+4sint)
SSC CGL • 2018
What can be the maximum number of common tangent which can be drawn to two nonintersecting circles?
SSC CGL • 2020
Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6^(th) number. If their average is 136, then 6^(th) number is:
SSC CHSL • 2024
Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is divisible by 12.
SSC CHSL • 2020
The compound interest on Rs.4,000 at the rate of 5% p.a. is Rs.630.50, then the time period is:
SSC Selection Post • 2022
A certain number of men can do a piece of work in 48 days. If there were 30 more men, it would take 18 days less to complete the work. The number of men, initially, is:
SSC MTS • 2019
The monthly incomes of A and B are Rs. 12000 and Rs. 15000 respectively. The monthly expanditure of A is Rs. 8000.If the ratio of the monthly expanditure of A and B is 2 : 3, then what is the sum of their monthly savings?
SSC CHSL • 2024
Rohan can alone finish a work in 12 days and Hari can alone in 16 days. They both work for 3 days and then Rohan left. After that only Hari works and finishes the work. The total work will be completed in:
SSC CGL • 2022
AB is a diameter of a circle with centre O. The tangent at a point C on the circle and AB, when produced, meet at the point P. If ∠APC = 38°, then what is the measure of ∠PCB?
SSC CGL • 2022
Manjeet bought a second-hand motorbike for Rs 22,000 and spent Rs 3,000 on its overhauling and maintenance. He then sold it with 12% profit. If he had sold it for Rs 500 less, then what would have been his profit percentage?
SSC CGL • 2023
A thief robs precious metals from a store which is 1150 m away from the police. The thief starts running at 6 km/h and the police starts chasing at 11 km/h at the same time. How much distance (in m) will the thief run before being caught?
SSC CGL • 2024
Find the value of tan55°over cot35° .
SSC Selection Post • 2022
The average of the first three numbers out of four numbers is 18 and that of the last three numbers is 20. If the last number is 25, what is the first number?
SSC Selection Post • 2020
The given pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the chart and answer the question that follows. [Image] If 2500 copies are published and the printing cost for them ampunts to 160,000, then what…
SSC CHSL • 2024
A shopkeeper marks an article at Rs. 150 and sells it at a discount of 25%. He also gives a gift worth Rs. 2.5. If the still makes a 10% profit, then the cost price (in Rs.) of the article is:
SSC Selection Post • 2022
In an examination, Shilpa scored 72.5% marks. Her friend, who scored 78% marks, has 88 marks more than her. Find the maximum marks of the examination.
SSC Selection Post • 2019
How many such numbers are there from 500 to 750 (both inclusive) which are neither divisible by 3 nor by 11?
SSC CGL • 2018
A can do 50% of job in 16 days, B can do 1/4th of the job in 24 days. In how many days can they do 3/4th of the job working together?
SSC CGL • 2025
If the interior angle of a regular polygon is k times its exterior angle, express the number of sides n of the polygon in terms of k.
SSC CPO • 2025
A cone is cut by a plane parallel to its base, dividing it into two parts: an upper, smaller cone and a lower frustum. If the height of the upper, smaller cone is half the height of the original cone, what is the ratio of the volume of the upper cone to the…
SSC CHSL • 2024
The centres of two circles are 84 cm apart. If the radii of these two circles are 38 cm and 26 cm, respectively, then which of the following options gives the length (in cm) of a direct common tangent of these two circles?
SSC Selection Post • 2024
What equal instalment of annual payment (in ₹) will discharge a debt that is due as ₹624 at the end of 5 years at 2% per annum simple interest?
SSC Selection Post • 2022
A sold an article to B at 10% loss, B sold it to C at 15% profit and C sold it to D at 10% profit. If D bought it for ₹4,554, then what was the cost price (in₹) of A?
SSC CGL • 2025
A square of side 10 cm has a smaller square (of side 4 cm) removed from one side. What is the ratio of the remaining area to the original?
SSC CHSL • 2025
If b - 1/b = 3 then calculate the value of b⁶ + 1/b⁶?
SSC CGL • 2023
Simplify the following expression. 7/10 ÷ 3/7 of (23/10+ 23/5) + 1/5 ÷ 12/5 - 2/7
SSC Selection Post • 2020
A man takes 5 minutes to cover a certain distance at a speed of 6 km/h. If he walks at a speed of 10 km/h, how long will it take to cover the same distance?
SSC CGL • 2021
The table shows the daily income (in ₹) of 50 persons. Study the table and answer the question: [Table] How many persons earn ₹200 or more but less than ₹300?
SSC CHSL • 2024
If PQ and PR are the two tangents to a circle with center O, and ∠QOR=150°, then ∠QPR is equal to:
SSC CHSL • 2023
cos 2θ = __.
SSC CGL • 2020
In ΔABC, if the ratio of angles are in the proportion 3 : 5 : 4, then the difference between the biggest and the smallest angles (in degrees) is:
SSC CGL • 2023
A person invests ₹ 9,840 at 5% per annum simple interest to obtain a total amount of ₹ 12,300. For how many years did he invest the sum?
SSC CGL • 2022
If a ∶ b = c ∶ d, then which of the following ratio is equal to a ∶ c?
SSC CGL • 2020
If x is added to each of 10, 16, 22 and 32, the numbers so obtained in this order are in proportion. What is the mean proportional between the numbers (x + 1) and (3x + 1)?
SSC CGL • 2022
A contractor decided to complete a work in 80 days and employed 60 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule. If he had not employed the additional men, how many extra days would he have needed to…
SSC GD • 2019
The surface area of a cuboidal box is 240 cm²and the length of its diagonal is 11 cm. What is the sum (in cm)of its length, breadth and depth?
SSC CHSL • 2022
The distance traveled by a person varies directly with the duration of the journey. If the person travels 378 km in 7 hours, in how many hours will the person cover 918 km?
SSC GD • 2019
What is the value of (3 × 1500 ÷ 40 + 5 ÷ 2/7 of 70) ?
SSC CGL • 2022
Which of the following numbers is a divisor of (49¹⁵ – 1)?
SSC GD • 2021
A person travels equal distances at speeds of 3 km/h, 4 km/h, 5 km/h, 6 km/h. and takes total time of 3 hours 48 minutes. The total distance (in km) is:
SSC Selection Post • 2022
A car travels at a speed of 40 km/h for 15 minutes and at a speed of 72 km/h for the next 5 minutes. The average speed of the car for the whole journey is: