Quantitative Aptitude PYQ — Page 68
24,303 questions across SSC exams.
SSC CGL • 2018
In the given figure, PQRS is a quadrilateral. If QR = 18 cm and PS = 9 cm, then what is the area (in cm²) of two such quadrilateral PQRS? [Image]
SSC Selection Post • 2025
A person invests ₹50,000 at 10% p.a. compounded annually for 3 years. He then reinvests the amount for 2 more years at 12% p.a. compounded annually. What is the total compound interest earned at the end of 5 years?
SSC CGL • 2016
A & B jointly made a profit of Rs.1650 and decided to share it such that A's profit is equal to 2/5 of B's profit. Then the profit of B is:
SSC Selection Post • 2025
A can finish a task in 15 days and B in 20 days. They take a contract for ₹ 18,000. Assisted by C, they complete the job in 6 days. What is C's share of the money?
SSC CGL • 2022
In Δ ABC , ∠ A = 50º , BE and CF are perpendiculars on AC and AB at E and F, respectively BE and CF intersect at H. The bisectors of ∠ HBC and ∠ HCB intersect at P. ∠ BPC is equal to:
SSC CGL • 2018
PQR is a triangle, whose area is 180 cm². S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm²) triangle PSR?
SSC CGL • 2020
A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is Rs 3,510, then the share of D is:
SSC Selection Post • 2025
The average of a set of 8 numbers is 36. If one number, 48, is replaced by 24, what is the new average?
SSC Selection Post • 2025
A product has a marked price of ₹1,200. If a 20% discount is applied, what is the selling price?
SSC Selection Post • 2025
The profit obtained by selling a bicycle for ₹840 is the same as the loss incurred if it is sold for ₹760. What will be the percentage profit if the bicycle is sold for ₹900?
SSC CGL • 2018
In the given figure, PQR is the triangle, and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the five times area (in cm²) of the quadrilateral ABCD? [Image]
SSC CGL • 2017
The ratio of cost price and selling price is 25 : 26. The percent of the profit will be:
SSC CGL • 2020
Amit sold an article for Rs 369.60 after allowing 12% discount on the market price. Had he not allowed any discount he would have earned a profit of 20%. What is the cost price of the article?
SSC Selection Post • 2025
Which of the following decimals has the longest repeating cycle?
SSC Selection Post • 2025
Consider a sequence of five odd numbers that follow each other. If their average is 39, what is the value of the largest number in the sequence?
SSC Selection Post • 2025
A car starts a 360 km journey with a full tank. For the first 150 km, it travels at 60 km/h. Due to fuel reduction, the speed drops by 10 km/h for the next 120 km. For the remaining journey, it further slows by 10 km/h. Estimate the average speed for the…
SSC CGL • 2019
The price of oil is increased by 20%. However , its consumption decreased by 8.33%. What is the % increase or decrease in the expenditure on it?
SSC Selection Post • 2025
A scholar was asked to find the arithmetic mean of the numbers 4, 11, 7, 9, 16, 13, 8, 19, 18, 21, 12 and x. He found the mean to be 12. What should be the number in place of x?
SSC CGL • 2022
The value of (3(cot² 47⁰ - sec² 43⁰) 43⁰ - 2(tan² 23⁰ -cosec² 67⁰))/(cosec² (68⁰ + θ)-tan(θ+61⁰)-tan²(22⁰-θ)+cot(29⁰-θ)) is:
SSC Selection Post • 2025
A vehicle covers 90 km with a speed of 45 km/h and then another 90 km with a speed of 85 km/h. What is the overall average speed of the vehicle?
SSC Selection Post • 2025
A can complete a job in 36 days. Every third day, he is assisted by B who can complete the job alone in 48 days. In how many days will the job be completed?
SSC CGL • 2016
If x + 1/x = c + 1/c then the value of x?
SSC CGL • 2018
A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?
SSC Selection Post • 2025
If x = (√5 + √3)/(√5 − √3) + (√5 − √3)/(√5 + √3), then the value of x is:
SSC Selection Post • 2025
Two numbers 63527 and 60784 are divided by a certain three-digit number and leave the same remainder. What is the sum of digits of the divisor?
SSC Selection Post • 2025
What is the number of sides of a regular polygon if the sum of its interior angles is 1,260 degrees?
SSC CGL • 2020
If 1/4.263 = 0.2346, find the value of 1/0.0004263
SSC Selection Post • 2025
If the height of a cylinder is doubled while keeping the radius the same, how does the volume change?
SSC Selection Post • 2025
Find the average of the first n odd natural numbers.
SSC CGL • 2025
If sin x = cos(3x - 20 ^° ), what is the value of x?
SSC Selection Post • 2025
In a workshop, the ratio of skilled to unskilled workers was 5 : 4. After a hiring drive, the number of skilled workers increased by 10%, while the number of unskilled workers increased by 25%. What is the new ratio of skilled to unskilled workers?
SSC Selection Post • 2025
A car travels a distance of 120 km at a speed of 20 km/hr and returns the same distance at a speed of 30 km/hr. What is the average speed of the car for the entire journey?
SSC Selection Post • 2025
A merchant gains 20% after allowing a discount of 10% on the marked price. Find his profit percentage if no discount were allowed.
SSC CGL • 2019
The value of tan²θ + cot²θ - sec²θcosec²θ is equal to ?
SSC Selection Post • 2025
If a + b + c = 0, then a³ + b³ + c³ is equal to:
SSC Selection Post • 2025
Two numbers are in ratio 4:5. If the sum is 81, find the numbers.
SSC Selection Post • 2025
A cricketer has an average of 30 runs in 9 innings. In the 10th inning, he scores some runs, and his average increases to 31 runs. How many runs did he score in the 10^(th) inning?
SSC Selection Post • 2025
A solution of 120 liters contains 40% acid. How much pure acid (in liters) must be added to make the solution 60% acid?
SSC CGL • 2018
A hollow cylinder has height 90 cm and the outer curved surface area is 11880 cm². It can hold 55440 cm³ of air inside it. What is the thickness (in cm) of this cylinder?
SSC Selection Post • 2025
If 25% of a number is 45, what is 75% of the same number?
SSC CGL • 2018
A is thrice as productive as C. Together they can complete a job in 22.5 days. If B joins them after they have worked for 15 days then in how many days can they finish the rest of the job if B alone can do the job in 15 days?
SSC Selection Post • 2025
The table below displays a student's marks in four subjects across the first and second semester examinations for a particular year. [Image] What is the approximate cumulative percentage of the student's marks for the entire year?
SSC Selection Post • 2025
Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?
SSC Selection Post • 2025
Simplify: (√3 + √2)²
SSC CGL • 2019
Study the graph and answer the question that follows. [Image] What is the ratio of the total number of workers whose daily wages are less than Rs 500 to the total number of workers whose daily wages are Rs 600 and above?
SSC Selection Post • 2025
A can complete a job in 36 days. Every third day, he is assisted by B who can complete the job alone in 48 days. In how many days will the job be completed?
SSC Selection Post • 2025
A mixture contains juice and water in the ratio 5:2. If 10 litres of water are added to this mixture, the ratio of juice to water becomes 2:1. What was the initial quantity of the mixture (in litres)?
SSC Selection Post • 2025
A sum of ₹12,000 is to be paid in 2 equal annual installments at 5% simple interest per annum. Find the amount of each installment.
SSC CGL • 2020
let x be the least number which when subtracts from 10424 gives a perfect square number. What is the least number by which x should be multiplied to get a perfect square?
SSC Selection Post • 2025
A student got 30% marks and failed by 13 marks and another student got 44% marks and gets 15 more than the passing marks. Find the maximum mark in a certain examination?