Quantitative Aptitude PYQ — Page 168
24,303 questions across SSC exams.
SSC CHSL • 2021
A solid metallic cube of side 4.4 cm is melted and recast in the form of a wire of radius 2 mm. Find the length (in cm) of the wire (Use = π = 22/7)
SSC CGL • 2025
Consider the following statements regarding simple interest: 1. The simple interest on ₹8,000 for 3 years at 5% per annum is ₹1,200. 2. If a sum of money doubles in 10 years at simple interest, then it will become 1.5 times in 6 years. 3. The simple interest…
SSC CHSL • 2021
If x - y = 4 and xy = 3, then what is the value of x³ - y³?
SSC CHSL • 2023
The amount of ₹P was put at simple interest at a certain rate for 4 years. If it had been put at a 6% higher rate for the same period, it would have fetched ₹600 more interest. What is the value of 2.5 P?
SSC GD • 2023
Aman covers a distance of 15 km in 3 hours and a distance of 20 km in 2 hours. What is the average speed of Aman?
SSC CGL • 2021
The marked price of an article of Rs. 5320. It is subject to two successive discounts, the first being 15% and the second at a rate of 20% of the first. What is the selling price (to nearest Rs.) of the article?
SSC CHSL • 2025
In triangle PQR, two medians, PS and QT, intersect each other at X at right angles. If PS = 18 cm and QT = 7.5 cm, then find the length of PQ.
SSC CGL • 2021
The value of 52 - 1170 ÷ 26+ 13times2 over 2+11/8of 2 - 11/4 is:
SSC CGL • 2024
'x' varies directly with the cube of 'y', and inversely with the square of 'z'. If x = 1over36 when y = 2 and z = 3, then what is the value of 800x when y = 3 and z = 5?
SSC Selection Post • 2024
In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9,261 votes, which were 75% of the total valid votes. Find the total number of votes.
SSC Selection Post • 2020
D is a point on the side BC of triangle ABC such that ∠ADC=∠BAC. If CA =12 cm and BC = 16 cm, then the length of CD is:
SSC CHSL • 2020
If 2145 : X ∷ 3003 : 42, then the value of Y so that X : 2508 ∷ Y : 11704, is:
SSC CHSL • 2022
The marked price of a shirt is ₹2,150. Let two successive discounts offered by the store be 10% and ‘x%’. If the selling price of the shirt is ₹1,505, then calculate the value of ‘x’. [Give your answer correct to two decimal places.]
SSC Selection Post • 2024
A train leaves Hyderabad at 4:00 A.M. and reaches Vijayawada at 8:00 A.M. the same day. Another train leaves Vijayawada at 6:00 A.M. and reaches Hyderabad at 9:30 A.M the same day. At what time do the two trains cross each other?
SSC CGL • 2024
There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles, and the total was 30. Three times the number of yellow marbles exceeds two times the number of blue marbles by 200. What is the ratio of…
SSC GD • 2023
Mohan goes to office from home at a speed of 20 km/h and returns to home from office at a certain speed. If the average speed is 24 km/h, then what is the speed while returning?
SSC CGL • 2022
If 8A5146B is divisible by 88, then what is the value of B - A?
SSC CGL • 2024
If one man adds 6 litres of water to 10 litres of milk and another man adds 4 litres of water to 8 litres of milk. Find the ratio of milk in the two mixtures.
SSC GD • 2025
The price (per litre) of petrol increases by 60%. By what percent should its consumption be reduced such that the expenditure on it increases by 44% only?
SSC GD • 2019
Study the following table and answer question. Number of students appeared in an examination from five cities: [Table] The number of cities in which passing percentage of students is below 56% is:
SSC CGL • 2025
If cot A = 2, then sin A - cos A =?
SSC CHSL • 2025
What will be the simple interest on Rs. 1450 at 9% per annum for 3 years?
SSC CGL • 2018
What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?
SSC CHSL • 2024
A hemisphere has a radius of 6.2 cm. Find its total surface area (use π = 3.14) (round off to two decimal places).
SSC CGL • 2024
If a³ + 3a² + 3a = 7, then the value of a² + 2a is:
SSC CGL • 2022
if a + b + c = 6, a² + b² + c² = 32, and a³ + b³ + c³ = 189, then the value of 4abc is:
SSC GD • 2023
If 0.25 : x :: 3 : 8, then x = ?
SSC CGL • 2024
What principal would amount to ₹21,420 in 2 years at the rate of 9.5% p.a. simple interest?
SSC GD • 2025
The simple interest on a principal amount (in ₹) is ₹318 for a period of 2 years at the rate of 6% per annum. The principal amount (in ₹) is:
SSC CGL • 2025
Simplify: (√(5+2√(6))+√(5-2√(6)))/(√(2))
SSC GD • 2024
What is the value of 4(12 - 10 + 42 - 17) ÷ 3 + 4?
SSC MTS • 2022
A sum, when invested for 2 years at the rate of 10% per annum at simple interest, amounts to ₹4,800 on maturity. What is the sum invested?
SSC CGL • 2024
A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?
SSC CHSL • 2023
The following bar graph gives the details of the income and expenditure of five companies A, B, C, D, E (in crores of rupees) [Image] Profit percentage = ((Income-Expediture)/Expenditure × 100) Which of the following company has the highest profit %?
SSC CHSL • 2019
A person purchased a vehicle for Rs. 4,89,828 and sold it for Rs. 5,89,828. What is the profit percent he earned on this vehicle (correct to two decimal places)?
SSC CHSL • 2020
In the given figure, if AD = 3, DE = 4, AB = 12, BF = 2, FG = 6, BC = 10, then the value of M/N is: (Assume : M is the area of the quadrilateral FGDE and N is the area of the triangle ABC.) [Image]
SSC CGL • 2025
If tan A + cot A = 4 and tan A. cot A = 1, find tan²A + sec²A
SSC CHSL • 2024
In an election there were only two candidates. One of the candidates secured 35% of votes and is defeated by the other candidate by 381 votes. The total number of votes polled is:
SSC CGL • 2023
If (x-1/x)=2√(2) and x > 1, what is the value of (x⁶-1/(x⁶)) ?
SSC CGL • 2025
If the height of a right prism is increased by 100% and base area remains the same, what is the percentage increase in volume?
SSC CHSL • 2020
The average of four consecutive odd natural numbers is eight less than the average of three consecutive even natural numbers. If the sum of these three even numbers is equal to the sum of the above four odd numbers, then the average of four original odd…
SSC CHSL • 2025
A building has a regular decagon-shaped window. What is the internal angle between any two adjacent sides?
SSC Selection Post • 2020
In a class, the number of boys is 40% more than the number of girls. The average score in mathematics of all the students in the class is 55. If the average score of girls is 35% more than that of boys, then what is the average score in mathematics of girls?
SSC CGL • 2025
The line segment from the center of a circle to the midpoint of a chord is 10 cm long. If the radius is 26 cm, what is the length of the chord?
SSC CPO • 2025
A sum of money doubles itself at compound interest in 15 years. In how many years will it become four times?
SSC CHSL • 2019
If 30 persons take 10 days to complete a certain work by working 8 hours a day, then 40 persons should work how many hours a day so that the work is completed in 6 days?
SSC CGL • 2019
The ratio of the efficiencies of A, B and C is 7 : 5 : 4. Working together, they can finish a work in 35 days.if A and B work together for 28 days. The remaining work will be completed (in days) by C alone?
SSC CHSL • 2023
If sec A = 17over15 , then what is the value of cot A?
SSC CHSL • 2022
Namitha gives a 20% discount on all things in her shop and yet makes a profit of 12%. What is the cost price of an item with marked price of Rs.280?
SSC CHSL • 2023
If a man purchases kismis at ₹320 per kg and sells it at ₹6 per 25 grams. Find his profit/loss percentage.