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SSC CGL 2024 — Quantitative Aptitude Questions with Answers
All 86 Quantitative Aptitude previous-year questions from SSC CGL 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
The radii of the two cones are in the ratio of 2 : 5 and their volumes are in the ratio of 3 : 5. What is the ratio of their heights?
- a)13 : 11
- b)4 : 11
- c)11 : 15
- d)15 : 4
- Q2.Quantitative Aptitude
An article is marked at ₹550. If it is sold at a discount of 40%, then the selling price becomes 10% more than its cost price. What is the cost price (in ₹)?
- a)330
- b)220
- c)300
- d)200
- Q3.Quantitative Aptitude
If the sum of two sides of an equilateral triangle is 16 cm, then find the third side.
- a)Cannot be found
- b)16 cm
- c)4 cm
- d)8 cm
- Q4.Quantitative Aptitude
The distance between the centres of two circles of radii 22 cm and 10 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.
- a)39 cm
- b)29 cm
- c)35 cm
- d)25 cm
- Q5.Quantitative Aptitude
Madhav purchased an item for ₹42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What is the overall gain (in ₹)?
- a)6720
- b)4200
- c)1680
- d)2520
- Q6.Quantitative Aptitude
[Question stem is a numerical/simplification expression rendered as an image; not present in the text layer.]
- a)2686
- b)2816
- c)2784
- d)2456
- Q7.Quantitative Aptitude
Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be two-and-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter.
- a)69
- b)77
- c)49
- d)72
- Q8.Quantitative Aptitude
From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm²) of this sector.
- a)86.525
- b)86.625
- c)86.875
- d)86.125
- Q9.Quantitative Aptitude
[Question stem is a numerical/simplification expression rendered as an image; not present in the text layer.]
- a)30.2
- b)23.6
- c)28.7
- d)25.5
- Q10.Quantitative Aptitude
The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?
- a)18.64%
- b)15.25%
- c)12.26%
- d)14.32%
- Q11.Quantitative Aptitude
[Trigonometric simplification; stem expression rendered as an image, not present in the text layer.]
- a)1 + sinA cosA
- b)1 – 3 sinA
- c)3 cosA - 1
- d)sinA + cosA
- Q12.Quantitative Aptitude
The given chart shows the production of different types of cars in the year 2021. If the total production in the year 2021 was 2,00,00,000, then what will be the central angle of the sector representing the production of type D cars in 2021?
- a)50°
- b)36°
- c)42°
- d)72°
- Q13.Quantitative Aptitude
The pie chart given below shows the expenditure (in percentage) of Aditya. The monthly income of Aditya is ₹54,000. How much does he spend (in ₹) on Food?
- a)12,240
- b)13,420
- c)11,240
- d)12,420
- Q14.Quantitative Aptitude
A person earns ₹16,000 per month and spends 80% of his income and saves the remaining amount. If his income increases by 20% and expenditure by 10%, find the percentage of increase in his savings.
- a)140%
- b)90%
- c)120%
- d)60%
- Q15.Quantitative Aptitude
Without doing the actual division, find the remainder when 28735429 is divided by 9.
- a)4
- b)2
- c)8
- d)9
- Q16.Quantitative Aptitude
The angles of triangle are such that one is average of other two, then the angles are:
- a)4
- b)3
- c)2
- d)1
- Q17.Quantitative Aptitude
Let C be a circle with centre O and P be an external point to C. Let PA and PB be two tangents to C with A and B being the points of tangency, respectively. If PA and PB are inclined to each other at an angle of 60°, then find ∠POA.
- a)40°
- b)60°
- c)80°
- d)30°
- Q18.Quantitative Aptitude
At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is:
- a)2 : 3
- b)1 : 4
- c)4 : 7
- d)1 : 5
- Q19.Quantitative Aptitude
The monthly wages (in ₹) of three mess workers, Rahul, Sunil and Vipin, of a boy's hostel for three months are given in the following table. In November, the wages of Sunil is what percentage of the wages of Rahul? (Correct up to two decimal places.)
- a)90.23%
- b)89.30%
- c)88.23%
- d)91.30%
- Q20.Quantitative Aptitude
If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:
- a)2
- b)3
- c)4
- d)6
- Q21.Quantitative Aptitude
If a sum of ₹5,000 is taken at a simple rate of interest of 15% per annum for 3 years and another sum of ₹8,000 is taken at a simple interest of 12% per annum for 4 years, the positive difference of the interests paid is:
- a)₹1,643
- b)₹1,590
- c)₹1,286
- d)₹1,378
- Q22.Quantitative Aptitude
Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in s) will they meet again for the first time?
- a)324
- b)325
- c)327
- d)326
- Q23.Quantitative Aptitude
Pipes M, N and S can fill a tank in 25, 50 and 100 minutes, respectively. Initially, pipes N and S are kept open for 10 minutes, and then pipe N is shut while pipe M is opened. Pipe S is closed 15 minutes before the tank overflows. How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern?
- a)30
- b)33
- c)42
- d)27
- Q24.Quantitative Aptitude
Simplify the following: 21 - 4.9 ÷ 7 + 3.9 × 0.4 + 0.9
- a)18.23
- b)24.12
- c)26.32
- d)22.76
- Q25.Quantitative Aptitude
The given bar graph shows the number of students enrolled in Institutes A and B during 5 years (2018 to 2022). What is the ratio of the total students enrolled in Institute B in 2019, 2020 and 2022 to that of the total students enrolled in Institute A in 2018, 2020 and 2021?
- a)37 : 28
- b)11 : 28
- c)28 : 11
- d)28 : 37
- Q26.Quantitative Aptitude
The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day?
- a)24°C
- b)25°C
- c)23°C
- d)22°C
- Q27.Quantitative Aptitude
A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the remaining 30% of the portfolio and has a negative-return of 5%. What is the average return of the portfolio?
- a)2.9%
- b)2.6%
- c)3.2%
- d)3.4%
- Q28.Quantitative Aptitude
[Question stem is a numerical/simplification expression rendered as an image; not present in the text layer.]
- a)13
- b)9
- c)0
- d)26
- Q29.Quantitative Aptitude
[Question stem is a numerical expression rendered as an image; not present in the text layer.]
- a)38,450
- b)42,577
- c)40,263
- d)39,376
- Q30.Quantitative Aptitude
In a clearance sale, a sari whose marked price was ₹10,490 is now sold for ₹9,441. What is the discount percentage on the sari?
- a)10%
- b)15%
- c)18%
- d)12%
- Q31.Quantitative Aptitude
A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is full, how much time will the leak take to empty it?
- a)3.6 hours
- b)63 hours
- c)7.2 hours
- d)36 hours
- Q32.Quantitative Aptitude
Two triangles EFG and HIJ are congruent. If the area of ΔEFG is 124 cm², then the area of ΔHIJ will be:
- a)124 cm²
- b)248 cm²
- c)62 cm²
- d)31 cm²
- Q33.Quantitative Aptitude
If the equations 4x + (k - 2)y + 3 = 0 and (k - 2)x + 9y - 5 = 0 (k > 0) are parallel, then find the value of k² + 6.
- a)68
- b)70
- c)72
- d)64
- Q34.Quantitative Aptitude
Study the given table and answer the question that follows. The given table shows the production of T-shirts by four companies i.e., C1, C2, C3 and C4 over the four years. Which company had the maximum average production of T-shirts during these four years?
- a)C1
- b)C3
- c)C2
- d)C4
- Q35.Quantitative Aptitude
[Question stem is a numerical/simplification expression rendered as an image; not present in the text layer.]
- a)7
- b)5
- c)9
- d)11
- Q36.Quantitative Aptitude
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:
- a)10%
- b)11%
- c)9%
- d)8%
- Q37.Quantitative Aptitude
If the length, breadth, and height of a cuboid is 8 cm, 4 cm, and 6 cm, respectively, then the volume (in cm³) of the cuboid is:
- a)218
- b)192
- c)96
- d)172
- Q38.Quantitative Aptitude
[Question stem is a percentage/expression rendered as an image; not present in the text layer.]
- a)25.93%
- b)26.39%
- c)28.26%
- d)27.62%
- Q39.Quantitative Aptitude
Study the given graph and answer the question that follows. The graph shows the production of refrigerators by three companies in 2018. The refrigerators produced by company C form what percentage of the total production?
- a)34.35%
- b)32.56%
- c)30.25%
- d)31.25%
- Q40.Quantitative Aptitude
What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°? (Use π = 3.14)
- a)20.4
- b)35.7
- c)82.8
- d)25.2
- Q41.Quantitative Aptitude
If 7845K854 is divisible by 11, then what is the value of K?
- a)6
- b)9
- c)7
- d)8
- Q42.Quantitative Aptitude
In a ΔPQR, the bisectors of ∠Q and ∠R meet at point O, inside the triangle. If ∠QOR = 107°, then the measure of ∠P is:
- a)40°
- b)23°
- c)17°
- d)34°
- Q43.Quantitative Aptitude
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)?
- a)10% increase
- b)9% decrease
- c)10% decrease
- d)9% increase
- Q44.Quantitative Aptitude
A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.
- a)8
- b)10
- c)12
- d)15
- Q45.Quantitative Aptitude
The given table shows the marks obtained by a student in class 9. What is the percentage of marks obtained? (table image)
- a)88%
- b)90%
- c)88.8%
- d)89.2%
- Q46.Quantitative Aptitude
An article is sold at a profit of 250%. What is the ratio of its cost price to selling price? (options as image)
- a)
- b)
- c)
- d)
- Q47.Quantitative Aptitude
From a circle of radius 7 units, an arc is cut by a chord of length 7 units. What is the arc length of the smaller portion? (options as image)
- a)
- b)
- c)
- d)
- Q48.Quantitative Aptitude
Quantitative question (stem shown as image).
- a)
- b)
- c)
- d)
- Q49.Quantitative Aptitude
A shopkeeper mixes two types of rice costing Rs 250/5 kg and Rs 280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).
- a)Rs 53.20
- b)Rs 32.50
- c)Rs 52.30
- d)Rs 25.30
- Q50.Quantitative Aptitude
Simplify the given expression (expression shown as image).
- a)3
- b)2
- c)1
- d)0
- Q51.Quantitative Aptitude
Two pipes together fill a tank in 20 minutes. If one pipe fills two and a half times as quickly as the other, the faster pipe alone fills the tank in:
- a)34 min
- b)30 min
- c)32 min
- d)28 min
- Q52.Quantitative Aptitude
Quantitative question (stem/options shown as image).
- a)
- b)
- c)
- d)
- Q53.Quantitative Aptitude
At a cafe, Rama bought drinks for her 7 friends at Rs 240. Coffee cost Rs 40 and black tea Rs 30 per cup. How many cups of tea did she purchase?
- a)5
- b)6
- c)3
- d)4
- Q54.Quantitative Aptitude
In an election between R and S, R gets 110% of the votes of S and beats S by 770 votes. If there were no invalid votes, the total number of votes polled is:
- a)16170
- b)17160
- c)17610
- d)16710
- Q55.Quantitative Aptitude
A and B are centres of two circles with radii 2 cm and 1 cm, AB = 5 cm. C is the centre of another circle of radius r that touches both externally. If angle ACB = 90 degrees, the value of r is:
- a)2 cm
- b)4 cm
- c)3 cm
- d)5 cm
- Q56.Quantitative Aptitude
Successive discounts of 10% and 15% are equivalent to a single discount of:
- a)24.2%
- b)43.4%
- c)23.5%
- d)32.3%
- Q57.Quantitative Aptitude
Simplify: [{70 - 60/2 of 6} + (20 - 10)/10] + 600/25 of (2 x 3) x (2 of 3) + 2 of 5.
- a)100
- b)99
- c)90
- d)110
- Q58.Quantitative Aptitude
The bar graph shows the turnover of five companies. Find the difference between the average sales turnover of all companies between 2018-2019 and 2019-2020. (graph image)
- a)Rs 5 crore
- b)Rs 2 crore
- c)Rs 3.5 crore
- d)Rs 6.5 crore
- Q59.Quantitative Aptitude
If 321y72 is a multiple of 6, where y is a digit, what is the least value of y?
- a)0
- b)7
- c)2
- d)3
- Q60.Quantitative Aptitude
If A:B = 6 : 8 and B:C = 5 : 10, then A:B:C is:
- a)1:2:4
- b)3:4:8
- c)4:3:2
- d)1:3:4
- Q61.Quantitative Aptitude
Quantitative question (stem shown as image); options in percent.
- a)94%
- b)98%
- c)96%
- d)95%
- Q62.Quantitative Aptitude
The pie chart shows the per cent sale of different fruits. If 1200 fruits are sold, find the combined central angle for oranges and apples. (chart image)
- a)90 degrees
- b)180 degrees
- c)220 degrees
- d)160 degrees
- Q63.Quantitative Aptitude
Solve: 5x + 4y - 8z = 1; 7x - 9y + z = -1; 2x + 3y - 4z = 1.
- a)x=1, y=1, z=-1
- b)x=1, y=1, z=1
- c)x=-1, y=1, z=1
- d)x=1, y=-1, z=1
- Q64.Quantitative Aptitude
A boat travels 78 km upstream and back in 32 hours; and 15 km upstream and 52 km downstream in 9 hours. How much distance will it cover in 12 hours in still water?
- a)92 km
- b)104 km
- c)96 km
- d)100 km
- Q65.Quantitative Aptitude
Pranav borrows Rs 6,23,305 at 10% p.a. simple interest. At the end of year 1 he repays Rs 16,390 towards principal. If he clears all pending dues (including year-1 interest) at the end of year 2, how much does he pay at the end of year 2?
- a)7,25,903
- b)7,29,937
- c)7,29,025
- d)7,38,700
- Q66.Quantitative Aptitude
One-quarter of a circular pizza of radius 21 cm was removed. What is the perimeter (in cm) of the remaining pizza? (Use pi = 22/7)
- a)99
- b)128
- c)141
- d)131
- Q67.Quantitative Aptitude
Quantitative question (stem shown as image).
- a)27
- b)54
- c)18
- d)9
- Q68.Quantitative Aptitude
The graph shows the ages of various children. What is the difference between the mean and mode of the ages? (graph image)
- a)0.5
- b)1
- c)0
- d)2
- Q69.Quantitative Aptitude
P and Q are two fixed points 10 cm apart, R is on PQ with PR = 6 cm. By what percentage is QR decreased when PR is increased by 5%?
- a)7%
- b)8.5%
- c)7.5%
- d)8%
- Q70.Quantitative Aptitude
A trader owes a merchant Rs 9,810 due in 1 year but wants to settle after 6 months. If simple interest is 9% per annum, how much cash should he pay?
- a)9,550
- b)9,405
- c)9,450
- d)9,540
- Q71.Quantitative Aptitude
A discount series of 10% and 16% on an invoice is the same as a single discount of:
- a)24.4%
- b)23.4%
- c)21.4%
- d)22.4%
- Q72.Quantitative Aptitude
P and Q run in opposite directions on a circular track from the same point at 10 m/s and 8 m/s. After what time will they meet if the track length is 1620 m?
- a)110 seconds
- b)70 seconds
- c)120 seconds
- d)90 seconds
- Q73.Quantitative Aptitude
Container 1 has 252 L of A and 441 L of B (same solution). Container 2 has total 1188 L of the solution. How much of container 2 is ingredient B?
- a)756 litre
- b)760 litre
- c)765 litre
- d)752 litre
- Q74.Quantitative Aptitude
The radius of a circle is 8 cm. An external point is 17 cm from the centre. The length of the tangent from that point is:
- a)16 cm
- b)19 cm
- c)18 cm
- d)15 cm
- Q75.Quantitative Aptitude
Which digits should come in place of x and y so that 62684xy is divisible by both 8 and 5?
- a)0 and 5
- b)4 and 0
- c)5 and 0
- d)2 and 0
- Q76.Quantitative Aptitude
Simplify the given expression (expression shown as image).
- a)
- b)
- c)
- d)
- Q77.Quantitative Aptitude
ABC is an equilateral triangle with side 11 cm; P, Q, R are midpoints of AB, BC, CA. Find the area of triangle PQR. (options as image)
- a)
- b)
- c)
- d)
- Q78.Quantitative Aptitude
Quantitative question (stem shown as image); options in minutes.
- a)33 min
- b)25 min
- c)35 min
- d)30 min
- Q79.Quantitative Aptitude
Ramesh sells rice at Rs 36/kg (purchased at Rs 30/kg) and gives only 800 g instead of 1 kg. Find his actual profit percentage. (options as image)
- a)
- b)
- c)
- d)
- Q80.Quantitative Aptitude
The table shows students in three subjects across four colleges. What is the ratio of total Physics students to total Mathematics students? (table image)
- a)576 : 731
- b)776 : 603
- c)781 : 585
- d)775 : 601
- Q81.Quantitative Aptitude
A circle's centre is joined to its 50 cm chord by a perpendicular of length 21 cm. Find the circle's radius. (options as image)
- a)
- b)
- c)
- d)
- Q82.Quantitative Aptitude
For which values of a and b do the equations have NO solution? x - ay = 2 - a; (1 - a)x + 6y = a + b
- a)a=3, b!=1
- b)a=-3, b!=1
- c)a=-3, b!=-1
- d)a=3, b!=-1
- Q83.Quantitative Aptitude
What is the volume (in cubic units) of a cylinder with height equal to its diameter and radius 4 units? (options as image)
- a)
- b)
- c)
- d)
- Q84.Quantitative Aptitude
The pie chart shows the percentage distribution of runs by a batsman. If he scored 440 runs total, how many did he score by hitting fours? (chart image)
- a)224
- b)172
- c)132
- d)88
- Q85.Quantitative Aptitude
The table shows runs scored in IPL matches by four Indian batsmen. What is the total number of runs scored by all four? (table image)
- a)3300
- b)3270
- c)2900
- d)3760
- Q86.Quantitative Aptitude
Two tea powders worth Rs 250/kg and Rs 300/kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 350/kg, find the price of the third variety.
- a)Rs 500/kg
- b)Rs 450/kg
- c)Rs 400/kg
- d)Rs 425/kg
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