Quantitative Aptitude PYQ — Page 387
24,303 questions across SSC exams.
SSC CHSL • 2020
In ΔXYZ , if G is the centroid and XL is the median with length 18 cm, then the length of XG is:
SSC CHSL • 2024
The measures of the three angles of a triangle are such that the smallest angle measures 42° less than the greatest angle, while the measure of the remaining angle is 24° more than the measure of the smallest angle. Find the measure of the smallest angle of…
SSC Selection Post • 2022
P can cover a certain distance in 4 hours 40 minutes by covering two-thirds of the distance at 4 km/h and the remaining distance at 5 km/h. 25% of the total distance (in km) covered by P is:
SSC CGL • 2023
A field is 150 m long and 80 wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?
SSC Selection Post • 2024
In an election, the total number of valid votes cast was 3,75,000. Candidate A secured 48% of the valid votes, with the rest of the valid votes going to the winner, Candidate B. By how many valid votes did Candidate B win over Candidate A?
SSC CGL • 2021
Points A and B are on a circle with centre O. Point C is on the major arc AB. If ∠ OAC = 35º and ∠ OBC = 45º, then what is the measure (in degrees) of the angle subtended by the minor arc AB at the centre?
SSC CGL • 2025
Kapil invested ₹1,00,000 in a business. After 3 months, Manish joined with ₹80,000. After 3 more months, Kapil withdrew ₹40,000. Find their profit ratio at the end of the year.
SSC GD • 2019
Study the following graph carefully to answer the questions given below. [Image] Percentage of sale of units with respect to its production is between 40% and 43%, in case of company:
SSC CHSL • 2025
A shopkeeper offers two successive discounts of 25% and 10% on an item with a marked price of ₹1,200. What is the effective discount percentage offered to the customer?
SSC Selection Post • 2023
What is the volume (in cm³) of a hemisphere having a diameter of 21 cm? (Take π = 22/7 )
SSC CGL • 2021
A shopkeeper sold two items. The selling price of the first item equals the cost price of the second item. He sold the first item at a profit of 20% and the second item at a loss of 10%. What is his overall profit/loss percent?
SSC CHSL • 2024
If sinθ = 7/25 , then cosθ and tanθ are respectively ___. (where θ is in the first quadrant)
SSC CHSL • 2023
Two equal circles of radius 6 cm intersect each other such that each pass through the centre of the other. The length (in cm) of the common chord is:
SSC CHSL • 2023
Pi Chart represent the modes of transport used by different employees in a university. [Image] The central angle of the sector for officers using two-wheelers is:
SSC CHSL • 2021
If x + y = 5 and x² + y² = 17 then the value of (x - y)² is equal to:
SSC CGL • 2023
Study the given table carefully and answer the following question. The table shows the percentage of students of four departments - Mechanical, Civil, Computer Science and Applied - with each student being in only one department. The table also shows the…
SSC CGL • 2025
In ΔABC, DE || BC and intersects AB and AC at D and E. If AD = 2, DB = 4, and AE = 3, find EC.
SSC GD • 2021
What is 12% of 4% of 7% of 2 × 10⁶?
SSC CHSL • 2020
A man travelled a distance of 35 km in 5 hours. He travelled partly on foot at the rate of 4 km/h and the rest on bicycle at the rate of 9 km/h. The distance travelled on foot is:
SSC CGL • 2018
The cost price of an article is Rs x. It is marked up by 200%. It is sold at Rs 540 after giving 25% discount. What is the value of x (in Rs)?
SSC Selection Post • 2022
A bought an item for ₹1,100 and sold it to be at a loss of 5%. B sold the item to C at a profit of k% for ₹1,254. Find the value of k.
SSC CHSL • 2025
Two circles C1 and C2 have radii 5 and 3 units, and their centers are 13 units apart. Then the number of common tangents they have is:
SSC Selection Post • 2023
At what rate per annum will the simple interest on Rs. 550 be Rs. 33 in 3 years?
SSC CHSL • 2023
A grocer mixes two varieties of ten priced at ₹80 kg and ₹85/kg in a certain milo to produce a new variety priced ar ₹82/kg. Want is the mio in which the two varieties were mixed to obtain the new variety?
SSC GD • 2019
Surbhi can do a piece of work in 24 days. She completed half of the work and then left it. Amita complete the remaining work in 10 days. Working together, they will complete 125% of the same work in:
SSC CHSL • 2025
Find the value of 4x² + y² + 25z² + 4xy - 10yz - 20zx when x = 4, y = 3 and z = 2.
SSC Selection Post • 2022
What is the fourth proportional of 1/72, 1/168, 1/150 ?
SSC GD • 2021
The average of 19 numbers is 24. The average of the first 8 numbers is 26.5 and that of the last 12 numbers is 21.5. If the 8^(th) number is excluded, then what will be the average (correct to one decimal point) of the remaining numbers?
SSC Selection Post • 2022
A certain sum amounts to ₹14,641 in 4 years at 10% p.a. when interest is compounded annually. What will be the amount of the same sum (in ₹) in 3 2 over 5 years at the same rate at simple interest?
SSC Selection Post • 2022
If the 9-digit number 45069x4y8 is divisible by 44, then what is the value of (x – 2y) for the minimum value of y?
SSC GD • 2019
The captain of a cricket team of 11 members is 28 years old and the wicketkeeper is 4 years older than him. If the ages of these two are excluded, the average age of the remaining players is two years less than the average age of the whole team. What is the…
SSC CHSL • 2024
The volume of the hemisphere (to the nearest integer) with a radius of 5.5 cm is (use π = 3.14):
SSC CHSL • 2025
A man invests ₹5,000 in a savings account that pays a simple interest rate of 6% per annum. What will be the total amount in his account after 3 years?
SSC CGL • 2020
In the triangle, if AB = AC and ∠ABC = 72º, then ∠BAC is:
SSC CGL • 2024
In a collection of rare coins, there is one gold coin for every four non-gold coins. If 20 more gold coins are added to the collection, the ratio of the number of gold coins to that of non-gold coins will be 2 : 3. The total number of coins in the collection…
SSC Selection Post • 2024
If an electricity bill is paid before the due date, one gets a reduction of 10% on the amount of the bill. By paying the bill before the due date, a person got a reduction of Rs.23. The amount of his electricity bill (in Rs.) was:
SSC CHSL • 2023
Mohit and Rohit undertook a work for Rs. 4400. Mohit alone can do that work in 10 days and Rohit alone can do the same work in 15 days. If they work together, then what will be the difference in the amount they receive?
SSC CHSL • 2025
A recipe for a cake calls for 2 cups of milk and 3 cups of flour. With this recipe, a cake was baked using 12 cups of flour. How many cups of milk were required?
SSC CGL • 2024
Simplify:- 15.5 − [3 − {7 − (5 − (14.5 − 13.5))}].
SSC CGL • 2025
A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical containers, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
SSC CHSL • 2020
The perimeter of a rectangle is 50 cm. Its area and length are in the ratio of 5 : 1. Find the length of the rectangle.
SSC GD • 2021
A person purchased a machine for Rs. 50,000 and fixed the marked price 20% higher than the cost price and sold it at a discount of 15%. The percentage profit or loss is:
SSC CGL • 2021
If (sin²θ)/(tan²θ-sin²θ)=5 , θ is an acute angle, then the value of (24sin²θ-15sec²θ)/(6cosec²θ-7cot²θ) is:
SSC Selection Post • 2023
If by selling 12 textbooks, a seller earns profit equal to the selling price of 4 textbooks, what is his percentage profit?
SSC Selection Post • 2020
Study the following bar graph and answer the question that follows. [Image] The ratio of the total sales of books for all branches taken together for the year 2000 to that of 2001 is:
SSC CHSL • 2025
A mixture containing 18% of methanol is mixed with another mixture containing b% of methanol in the ratio 4:5. If the percentage of methanol in the final mixture is 16%, what is the percentage of b?
SSC CHSL • 2024
AB and AC are two tangents to a circle having centers at point X. What will be the measure of ∠BAC if ∠BXC = 125°?
SSC MTS • 2022
Walking towards a bus stop at 5/7 of his usual speed, Rakesh missed the bus by 10 minutes. What is the usual time that Rakesh takes to reach the bus stop just in time for the bus?
SSC CGL • 2019
Which is the ratio of the number of students passing to those failing from college E in the year 2015?
SSC CGL • 2025
Simplify: (1.5 + 3/2) + (2.25 - 9/4) + 0.6