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SSC CHSL 2024 — Quantitative Aptitude Questions with Answers
All 50 Quantitative Aptitude previous-year questions from SSC CHSL 2024, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.
Practice Quantitative Aptitude as a timed test →- Q1.Quantitative Aptitude
If equation of line p is x + y = 5 and that of line q is x - y = 3, what are the coordinates of the point common to both the lines?
- a)(1, 4)
- b)(2, 3)
- c)(2, 1)
- d)(4, 1)
- Q2.Quantitative Aptitude
[Geometry figure-based question - not available in text]
- a)2 cm
- b)3 cm
- c)4 cm
- d)5 cm
- Q3.Quantitative Aptitude
If PQ and PR are the two tangents to a circle with center O, and angle QOR = 150 degrees, then angle QPR is equal to:
- a)60 degrees
- b)90 degrees
- c)45 degrees
- d)30 degrees
- Q4.Quantitative Aptitude
[Data/image-based age question - not available in text]
- a)34 years
- b)37 years
- c)35 years
- d)33 years
- Q5.Quantitative Aptitude
A company has five plants for manufacturing spare parts. Each plant manufactures local quality and export quality. What is the ratio of the production of local quality and export quality units of the highest manufacturing plant? [Data Interpretation chart-based]
- a)4 : 1
- b)3 : 1
- c)2 : 11
- d)7 : 3
- Q6.Quantitative Aptitude
[Image-based question, stem not available in text]
- a)6.82%
- b)7.11%
- c)5.82%
- d)5.81%
- Q7.Quantitative Aptitude
Given that the perimeters of two similar triangles, triangle ABC and triangle DEF, are 24 cm and 9 cm, respectively, and DE = 3 cm, what is the ratio between the area of triangle ABC and that of triangle DEF?
- a)54 : 9
- b)54 : 7
- c)64 : 9
- d)64 : 7
- Q8.Quantitative Aptitude
What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9?
- a)3
- b)9
- c)4
- d)7
- Q9.Quantitative Aptitude
[Data Interpretation chart-based question - not available in text]
- a)P.G. + M.Phil.
- b)P.G. + Ph.D.
- c)Entrepreneur + Ph.D.
- d)Entrepreneur + P.G.
- Q10.Quantitative Aptitude
Which of the following is a correct statement?
- a)If two circles touch each other, the point of contact lies on the line joining the two centres.
- b)Equal chords are equidistant from the centre of the circle but not always subtend equal angle at centre of the circle
- c)The sum of the angles of a cyclic quadrilateral is always 180 degrees.
- d)Angles subtended by the arc in the same segment of the circle are in ratio of 2 : 1.
- Q11.Quantitative Aptitude
Mohan gets 12% increase in his sale amount in the first year and 15% increase in the second year, with that his present sale is ₹1,28,800. What was his sale two years ago?
- a)₹1,75,000
- b)₹1,25,000
- c)₹1,00,000
- d)₹1,50,000
- Q12.Quantitative Aptitude
[Image-based question, stem not available in text]
- a)87.5%
- b)86.2%
- c)82.3%
- d)88.4%
- Q13.Quantitative Aptitude
The age of the older of two boys is thrice that of the younger. 9 years ago it was five times that of the younger. Find the present age of each.
- a)15 years, 45 years
- b)18 years, 54 years
- c)17 years, 51 years
- d)12 years, 36 years
- Q14.Quantitative Aptitude
A person drives 110 miles at 55 miles per hour, he drives the next 120 miles at 60 miles per hour, and then he drives the next 60 miles in an hour. What is his average speed for the entire journey in miles per hour?
- a)55
- b)60
- c)63
- d)58
- Q15.Quantitative Aptitude
[Image-based question, stem not available in text]
- a)3
- b)2
- c)1
- d)4
- Q16.Quantitative Aptitude
PQ is a diameter of a circle with centre O. The tangents at R meets PQ produced at A. If angle RPQ = 27 degrees, then measure of angle RQP is:
- a)63 degrees
- b)54 degrees
- c)27 degrees
- d)153 degrees
- Q17.Quantitative Aptitude
Reshma took a loan of ₹12,00,000 with simple interest for as many years as the rate of interest. If she paid ₹9,72,000 as interest at the end of the loan period, what was the rate of interest per annum?
- a)9%
- b)8.7%
- c)8%
- d)7.5%
- Q18.Quantitative Aptitude
Two circles touch each other at a point O. AB is a simple common tangent to both the circles touching at point A and point B. If radii of the circles are 9 cm and 4 cm, then find AB.
- a)72 cm
- b)12 cm
- c)24 cm
- d)144 cm
- Q19.Quantitative Aptitude
Find the number when successively divided by 3, 5 and 7 leaves remainder 2, 1 and 3, respectively, and the last quotient is 3.
- a)367
- b)365
- c)362
- d)360
- Q20.Quantitative Aptitude
If 18 toys out of 75 toys are for boys and the rest are for girls, what is the percentage of girls toys?
- a)57%
- b)76%
- c)67%
- d)18%
- Q21.Quantitative Aptitude
In a triangle ABC, two medians AD and BE intersect at G at right angles. If AD = 18 cm and BE = 12 cm, then the length of BD is equal to:
- a)15 cm
- b)10 cm
- c)20 cm
- d)8 cm
- Q22.Quantitative Aptitude
[Image-based question, stem not available in text]
- a)April, 3
- b)May, 3
- c)June, 3
- d)June, 4
- Q23.Quantitative Aptitude
The sides of a cuboid are in the ratio 3 : 4 : 5 and its surface area is equal to the surface area of the cube with side 6 units. What is the approximate volume of the cuboid?
- a)240
- b)210
- c)150
- d)180
- Q24.Quantitative Aptitude
[Image-based question, stem not available in text]
- a)66
- b)21
- c)81
- d)27
- Q25.Quantitative Aptitude
In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced to F. If angle ABC = 85 degrees and angle FAE = 24 degrees, find the value of angle BCD.
- a)119 degrees
- b)124 degrees
- c)115 degrees
- d)125 degrees
- Q26.Quantitative Aptitude
Three persons ran for office and got, 1136, 7636 and 11628 votes, respectively. What was the winning candidate's percentage of the total votes?
- a)59%
- b)52%
- c)61%
- d)57%
- Q27.Quantitative Aptitude
The internal length, breadth and height of a cardboard box are 6 cm, 10 cm and 12 cm. How many boxes are needed to pack cubes whose total volume is 2160 cm^3?
- a)6
- b)5
- c)3
- d)4
- Q28.Quantitative Aptitude
[Figure-based question]
- a)B
- b)D
- c)C
- d)A
- Q29.Quantitative Aptitude
Study the given chart on population using different transport types across cities. What is the percentage of people using all transport in Pune to the total across all cities? [Chart-based]
- a)22.08%
- b)23.08%
- c)33.08%
- d)28.08%
- Q30.Quantitative Aptitude
(cot t + tan t)(cosec t - sin t)(cos t - sec t) = ____.
- a)-1
- b)2
- c)0
- d)1
- Q31.Quantitative Aptitude
An 8-digit number is divisible by 99. If the digits are shuffled, the number is always divisible by:
- a)9
- b)11
- c)6
- d)5
- Q32.Quantitative Aptitude
A vendor buys a score (20) of apples for Rs.400 and retails them at Rs.264 a dozen. What is his loss/gain percent?
- a)20% profit
- b)5% loss
- c)10% loss
- d)10% profit
- Q33.Quantitative Aptitude
In a circle with centre O, ABC is a secant intersecting at A and B, and DC is a tangent at D. If DC = 12 cm and BC = 6 cm, the length of AB is:
- a)20 cm
- b)16 cm
- c)18 cm
- d)22 cm
- Q34.Quantitative Aptitude
Among the ratios 3 : 4, 5 : 8, 1 : 2, 6 : 9 which is the greatest?
- a)5 : 8
- b)6 : 9
- c)1 : 2
- d)3 : 4
- Q35.Quantitative Aptitude
The heights of two cones are in ratio 5 : 3 and radii in ratio 6 : 5. Find the ratio of their volumes.
- a)10 : 5
- b)13 : 5
- c)12 : 5
- d)11 : 5
- Q36.Quantitative Aptitude
If a circle with centre (2, 3) touches the line 4x + 3y - 7 = 0, then the radius of the circle is:
- a)1 unit
- b)3 unit
- c)4 unit
- d)2 unit
- Q37.Quantitative Aptitude
In an election between two candidates, a candidate who gets 78% of the votes is elected by a majority of 448 votes. What is the total number of votes polled?
- a)800
- b)750
- c)850
- d)700
- Q38.Quantitative Aptitude
Joey completed a project in 15 days. How many days will Tim take if he is 25% more efficient than Joey?
- a)12 days
- b)16 days
- c)8 days
- d)10 days
- Q39.Quantitative Aptitude
[Figure/expression-based question]
- a)30
- b)25
- c)40
- d)50
- Q40.Quantitative Aptitude
A sells a bike to B at 45% profit. B sells it to C at 30% profit. If C pays Rs.43,355, what is the cost price for A?
- a)Rs.21,000
- b)Rs.23,000
- c)Rs.27,000
- d)Rs.29,000
- Q41.Quantitative Aptitude
[Chart-based question]
- a)10 lakhs
- b)5 lakhs
- c)15 lakhs
- d)2 lakhs
- Q42.Quantitative Aptitude
The area of a rectangular field is 3600 m^2. If the field is 45 m long, what is its perimeter?
- a)255 m
- b)260 m
- c)250 m
- d)265 m
- Q43.Quantitative Aptitude
The value of (17 + 15) / 2 - 11 + 16 x 4 - 28 + 13(-16 + 13) is:
- a)2
- b)0
- c)3
- d)1
- Q44.Quantitative Aptitude
A, B, C are three points with AB = 11 cm, BC = 13 cm and AC = 24 cm. The number of circles passing through the points A, B, C is:
- a)0
- b)1
- c)2
- d)3
- Q45.Quantitative Aptitude
If the surface area of a cuboid is 108 m^2, find the height of the cuboid whose length is 6 m and breadth is 3 m.
- a)5.5 m
- b)5 m
- c)4.5 m
- d)4 m
- Q46.Quantitative Aptitude
[Figure/expression-based question]
- a)72
- b)90
- c)36
- d)54
- Q47.Quantitative Aptitude
The salaries of T in twelve months are: 12000, 12000, 12000, 15000, 15000, 15000, 21000, 21000, 21000, 30000, 30000, 30000 (in Rs). The average salary per month (in Rs) is:
- a)19500
- b)18500
- c)18000
- d)19000
- Q48.Quantitative Aptitude
[Figure/expression-based question]
- a)Increase, 60%
- b)Increase, 50%
- c)Decrease, 60%
- d)Decrease, 50%
- Q49.Quantitative Aptitude
What is the area of the region created by the lines 2x + y = 6 and 2x - y = -2, bounded by these lines and the x-axis?
- a)8 sq. units
- b)5 sq. units
- c)3 sq. units
- d)6 sq. units
- Q50.Quantitative Aptitude
[Chart-based question]
- a)Management
- b)Science
- c)Engineering
- d)Arts
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