Quantitative Aptitude PYQ — Page 156
24,303 questions across SSC exams.
SSC CGL • 2022
A railway engine passes two bridges of lengths 400 m and 235 m in 100 seconds and 60 seconds, respectively. Twice the length of the railway engine (in m) is:
SSC MTS • 2022
What is the average of 12.5, 18.4, 15.5, 16.6, and 20.4?
SSC CHSL • 2021
When (2²⁴ - 1) is divided by 7, then the remainder is:
SSC CGL • 2025
Two circles have radii of 10 cm and 6 cm. If the length of a direct common tangent between them is 16 cm, what is the distance between their centers?
SSC MTS • 2022
A train 200 m long running, at a speed of 36 km/h, takes 55 seconds to cross a bridge completely. What is the length of the bridge?
SSC CGL • 2025
If the base of a prism is a regular hexagon of side 8 cm and the height is 12 cm, what is its volume?
SSC Selection Post • 2022
If x² + 9y² = 40 and xy = 4, where x > 0, y > 0, then what is the value of (x³ + 27y³)?
SSC CHSL • 2021
One diagonal of a rhombus is 8 √(3) cm. If the other diagonal is equal to its side, then the area (in cm²) of the rhombus is:
SSC GD • 2025
The fourth proportional to 4, a and 16a is 81. Find the value of a² .
SSC CHSL • 2025
Average of 5 consecutive even numbers is 24. Find the largest number.
SSC CGL • 2021
Simplify the following expression: (108×108×108-92×92×92)/(108×108+92×92+108×92)
SSC CHSL • 2022
Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his speed by 10 km/h, yet he is late by 10 minutes. How far is his college from his home?
SSC GD • 2021
A metallic slab having dimensions 16 cm × 12 cm × 9 cm is melted and recast in the shape of a cube. What is the surface area (in cm²) of the cube?
SSC GD • 2024
Find the area of the right angled triangle if the longest side of a right angled triangle is 17 cm and the height is 15 cm.
SSC GD • 2023
Successive discounts of 10%, 15% and 4% on ₹ 12,500 are equal to:
SSC CGL • 2025
Three non-overlapping, non-touching circles are drawn in a plane. What is the maximum number of distinct common tangents that can be drawn to them in total?
SSC GD • 2023
A policeman spots a thief 120 m ahead, immediately the policeman starts chasing the thief. The policeman runs 26 m in a minute and the thief runs 20 m in a minute. In what time will the policeman catch the thief?
SSC Selection Post • 2020
If x ³ + y ³ = 175 and x + y = 7 , find the value of x ⁴ + y ⁴ .
SSC Selection Post • 2020
A solid metallic sphere of radius 4.2 cm is melted and recast into a right circular cylinder of radius 6 cm. What is the height (in cm) of the cylinder (correct to one decimal place)?
SSC CHSL • 2019
A man bought 2 articles for Rs. 3050 each. He sold one article at 10% loss and another at 20% profit. The total profit/loss percentage he earned is?
SSC Selection Post • 2020
The speed of a boat downstream is 2.5 times its speed upstream. If the total time taken by the boat for going 15 km downstream and the same distance upstream is 4 2/3 hours, then what is the speed (in km/h) of the boat downstream?
SSC CHSL • 2024
If cotθ = 3/4 , θ is an acute angle, then sinθ + cosθ - tanθ is equal to:
SSC Selection Post • 2020
If the lengths of three sides of a triangle are 10 cm, 24 cm, and 26 cm, then the length of the median to its greater side is equal to:
SSC CHSL • 2023
If K + 1/K+2 = 0 and K K¹⁷ + 1/(K¹¹) ?
SSC CHSL • 2023
If θ is an acute angle and cosθ = 11over17 , what is the value of tanθ?
SSC CGL • 2023
P, Q and R can complete a piece of work in 9, 12 and 18 days, respectively. Working together, how much work can they complete in one day?
SSC CHSL • 2024
If a circle whose centre is (2, 3) touches the line 4x + 3y − 7 = 0, then the radius of the circle is:
SSC CHSL • 2024
AB is parallel to DC in a trapezium ABCD. It is given that AB > DC and the diagonals AC and BD intersect at O. If AO = 3x-15, OB = x + 9, OC = x - 5 and OD = 5, and x has two values x₁ and x₂, then the value of (x₁² + x₂²) is:
SSC GD • 2026
R is 40 percent more efficient than S. S alone can finish a work in 35 days. In how many days will R alone finish the same work?
SSC CHSL • 2022
Find the fourth proportional to 7, 13 and 21.
SSC GD • 2019
The simple interest on a certain sum in [Image] years at 6% p.a. is Rs. 2541. what will be the amount of the same sum in [Image] years at [Image] % p.a.?
SSC CHSL • 2025
A is twice as efficient as B. A and B together can complete a work in 12 days. In how many days can A alone complete the work?
SSC CGL • 2023
Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.
SSC CHSL • 2023
If (x + 1/x ) = 5 sqrt2 , and x > 1, what is the value of (x⁶ - 1/(x⁶) ) ?
SSC CGL • 2025
If the measure of an exterior angle of a regular polygon is 20 ^° , determine the total number of its sides.
SSC Selection Post • 2022
Out of his income, Ram spends 20% on house rent and 60% of the rest on household expenditure. If he saves Rs. 4,600 per month, then his total income per month in Rs. is:
SSC CGL • 2019
The average of 33 numbers is 74. The average of the first 17 numbers is 72.8 and that of the last 17 numbers is 77.2. If the 17^(th) number is excluded, then what will be the average of the remaining numbers (correct to one decimal place) ?
SSC GD • 2021
The average weight of 56 students in a group is 55 kg. If 12 students of average weight 60 kg leave and 6 students of average weight 52.5 kg join the group, then the average weight of the remaining students in the group decreases by:
SSC Selection Post • 2022
The price of an item increased by 10%. Anil planned to increase the expenditure on it by 5%. By what percentage must its consumption be reduced so that the expenditure on it is met within the increased amount allocated for it?
SSC GD • 2023
After allowing a discount of 12% on its marked price, the selling price of a mobile phone is Rs. 22,352. If no discount is allowed, then the shopkeeper gains 25%. The cost price of the mobile phone is:
SSC CHSL • 2025
440 candies are to be distributed among 'N' number of students such that each student gets (N + 2) candies. Find the value of 'N' if all the candies are distributed.
SSC CGL • 2016
If the radius of a cylinder opens at both the ends, is decreased by 25%, and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed
SSC CGL • 2019
What is the ratio of the total production of type C cars in 2015 and type D cars in 2017 taken together to the total production of type B cars in 2016 and type A cars in 2017 taken together?
SSC GD • 2019
Study the following table and answer questions: Number of employees working in five different companies. [Table] What percent of total male employees in companies A and B is the number of female employees in E?
SSC GD • 2026
A, B and C together can complete a work in 18 days. A and B together can complete the same work in 24 days. C alone can complete the same work in how many days?
SSC CHSL • 2021
Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle. If angle APB = 50º, then angle OAB is equal to:
SSC CHSL • 2024
Study the given pie charts and answer the question that follows. [Image] If A = percentage of tourists who went to Agra, Amritsar, and Kashi, and B = percentage of tourists whose age lies between 2 years to 50 years, then what is A : B?
SSC CHSL • 2020
The value of 27 + [3(50 – 20) + 168 ÷ 4 + 2 – 11 × 2] is:
SSC GD • 2023
If a person weighing 40 kg joins, then the average weight of a group increases by 1 kg. If the weight of this person had been 28 kg, then the average weight of the group would have decreased by 1 kg. The actual average weight of the group is:
SSC CGL • 2022
A, B and C can do work in 8, 10, and 12 days respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs) in the amount received?