Quantitative Aptitude PYQ — Page 432
24,303 questions across SSC exams.
SSC CPO • 2025
A rhombus whose diagonals are 12 cm and 15 cm. Find the area of the rhombus.
SSC CGL • 2022
If (x²- 3x + 1 = 0), then the value of ((x⁴+1/(x²)))/((x²+5x+1)) is
SSC CGL • 2018
A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation?
SSC CGL • 2019
To do a certain work, the ratio of the efficiencies of X and Y is 5 : 4. Working together, they can complete the same work in 10 days. Y alone starts the work and leaves after 5 days. The remaining work will be completed by X alone in ?
SSC CGL • 2020
The ratio of the height and the diameter of a right circular cone is 6 : 5 and its volume is 2200/7 cm³. What is its slant height?
SSC CGL • 2019
A certain loan was returned in two equal half-yearly instalments each of Rs 6760. If the rate of interest was 8% pa compounded half-yearly, how much was the interest paid on the loan?
SSC CGL • 2017
ΔABC is an isosceles right–angled triangle having ∠C = 90°. If D is any point on AB, and CD² = 4 then AD² + BD² is equal to:
SSC CGL • 2018
The average marks of 50 students in an examination was 65. It was later found that the marks of one student had been wrongly entered as 83 instead of 38. The correct average is ?
SSC CGL • 2016
The marked price of an article is Rs. 5000. But due to special festival offer a certain percent of discount is declared. Mr. X availed this opportunity and bought the article at reduced price. He then sold it at Rs. 5000 and there by made profit of 100/9%…
SSC CPO • 2025
Convert 600° to radians.
SSC CGL • 2018
Of the 3 numbers whose average is 22, the first is 3/8th the sum of other 2. What is the first number?
SSC CGL • 2018
If [√(a² + b² + ab)] + [√(a² + b² – ab)] = 1, then what is the value of (1 – a² )(1 – b² )?
SSC CGL • 2020
By what percent were the total exports of computers, by the company, in 2013,2014 and 2018 less than the total production of computers from 2015 to 2017 ( correct to one decimal place)?
SSC CGL • 2019
A train travelling at the speed of x km/hr, crossed a 200 m long platform in 30 seconds and overtook a man walking in the same direction at the speed of 6 km/hr in 20 seconds. What is the value of x ?
SSC CGL • 2020
Rishu saves x% of her income. If her income increases by 26% and the expenditure increases by 20%, then her savings increase by 50%. What is the value of x?
SSC CGL • 2016
A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?
SSC CGL • 2018
If a + b + c = 9, ab + bc + ca = 26, a³ + b³= 91, b³ + c³ = 72 and c³ + a³ = 35, then what is the value of abc?
SSC CGL • 2020
The rate of interest for the first 2 years is 6% p.a. for the next 3 years is 10% p.a. and for the period beyond 5 years is 12% p.a.If a person gets Rs 12, 771 as simple interest after 7 years, then how much money didhe invest?
SSC CGL • 2019
The value of _([Image])is?
SSC CGL • 2016
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true ?
SSC CGL • 2022
If x² - √7x + 1 = 0, then what is the value of x⁵ + 1/(x⁵) ?
SSC CGL • 2019
The bisector of ∠B in triangle ABC meets AC at D. If AB = 10 cm, BC = 11 cm and AC = 14 cm, then the length of AD is:
SSC CGL • 2018
The average of three consecutive odd numbers is 52 more than 1/3rd of the largest of these numbers. What is the smallest of these numbers?
SSC CPO • 2025
What is the width of a rectangle which has a 60 cm perimeter and length of 20 cm?
SSC CGL • 2018
If the roots of the equation a(b – c)x² +b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?
SSC CGL • 2018
In a class of 50 students there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys if the class average is 42 marks ?
SSC CGL • 2017
D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD : DB = 5 : 4, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF:
SSC CGL • 2022
If cos θ=12/13 , then the value of (sin θ (1-tan θ))/(tan θ(1+cosec θ)) is:
SSC CGL • 2020
In the figure, chords AB and CD of a circle intersect externally at P. If AB = 4 cm, CD = 11 cm, and PD = 15 cm, then the length of PB is: [Image]
SSC CPO • 2025
Two right circular cylinders have radii in the ratio 1:3 and heights in the ratio 4:1. What is the ratio of their volumes?
SSC CGL • 2020
Study the given graph and answer the question that follows. Break up for distribution (degree wise) of the employees working in five departments (A, B, C, D and E) in a company [Image] Total number of employees = 3000 The number of employees in department B…
SSC CGL • 2019
Let x = (633)²⁴ - (277)³⁸ + (266)⁵⁴. What is the unit digit of x?
SSC CGL • 2018
Elections were held in a society to elect a chairman. There were only two candidates A and B. Candidate B got 25% less votes than candidate A. The number of members who did not cast the vote was same as the number of votes that candidate B got. By how many…
SSC CGL • 2018
250% of a = b, then b% of 250 is the same as a% of .........
SSC CGL • 2022
The slant height and radius of a right circular cone are in the ratio 29 : 20. If its volume is 4838.4π cm³, then its radius is:
SSC CGL • 2018
A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What is his average before the 17th match?
SSC CGL • 2019
Two positive numbers differ by 2001. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of larger number is?
SSC CGL • 2018
The average of 41 cosecutive odd numbers is 49. What is the largest number?
SSC CGL • 2019
The value of 0.56̅ - 0.723̅+0.39̅ times0.7̅ is?
SSC CGL • 2020
Study the given graph and answer the question that follows. [Image] In which year was the revenue 33 1/3 % more than the average expenditure of the company during 2014 to 2018?
SSC CGL • 2018
If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?
SSC CGL • 2016
In ΔABC, D and E are the midpoints of AB and AC respectively, then the ratio of the areas of ADE and BCED is:
SSC CGL • 2020
A cyclindrical roller made of iron is 1.2 m lon g. Its internal radius is 24 cm and thickness of the iron sheet used in making the roller is 15 cm. What is the mass ( in kg) of the roller, if 1 cm³ of iron has 8g mass?
SSC CGL • 2022
ABCD is a cyclic quadrilateral, Sides AB and DC, when produced, meet at E and sides AD and BC when produced, meet at F. If ∠ ADC = 76º and ∠ AED = 55º, then ∠ AFB is equal to:
SSC CGL • 2018
α and β are the roots of the quadratic equation x² – x – 1 = 0. What is the value of α² + β²?
SSC CGL • 2017
Diagonals of a trapezium ABCD with AB II CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is ____.
SSC CGL • 2016
A dealer is selling an article at a discount of 5% on the Marked price. If the Marked price is 12% above the cost price and the article was sold for Rs. 532 then the cost price is (in Rs.)
SSC CGL • 2020
The number of boys in school B is what percentage of the total number of students in that school?
SSC CPO • 2025
A water tank is a cylinder with radius and height in the ratio 1:3. If the radius is increased by 20%, what is the percentage increase in volume?
SSC CGL • 2019
Three solid metallic spheres whose radii are 1 cm, x cm, and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius x cm is?