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SET - 1| SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|

SSC CGL Previous Year Question Paper with Solution 2020| 13-08-2021, 1st shift 


SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|


Q1. Study the following table and answer the question:

Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|


The ratio of the total number of cars sold by dealer B in January, April and June to the total number of cars sold by dealers A and D in March is:




... Ans: c. 4:3
`\frac{600+580+620}{628+722}`=`\frac{1800}{1350}` = `\frac{4}{3}`



Q2. To do a certain work, A and B work on alternative days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in  11`\frac{1}{3}` days, then B alone can complete `\frac{7}{9}`th part of the original work in:




... Answer is d. 6 days

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



Q3.The value of  20 ÷ 5 of 8 × [ 9 ÷ 6 × ( 6 - 3)] - ( 10 ÷ 2 of 20 ) is




... Answer is  b. 2

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



Q4. X, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY and the time taken by a boat to row from X to Q and from Y to Q are in the ratio 4:5. The ratio of the speed of the boat downstream to that of the river current is equal to




... Answer is. c. 10:3

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|




Q5. What is the compound interest (in ₹ ) on a sum of  ₹ 8192 for 1`\frac{1}{4}` years at 15% per annum, if interest is compounded 5- monthly?




... Answer is  d. 1634
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|




Q6. A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is

    `\sqrt{41}`
... Answer is a. `\sqrt{46}`
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|


Q7. Study the table and answer the question.

Table shows District-wise data of the number of primary school teachers posted in schools of a city.

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|

What is the ratio of the number of male teachers to the female teachers in the city?




... Answer is d. 391:566

    5865:8280

= 1173:1656

= 391:566




Q8. `\frac{\cos^2\theta}{\cos^2\theta + \sin^2\theta - 1}`=3, 0°<`\theta`<90°, then the value of ( tan`\theta` + cosec`\theta`) is:



... Answer is d.  `\frac{5\sqrt3}{3}`
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|




Q9. What x is substracted from each of 19, 28, 55 and 91, the numbers so obtained in this order are in proportion. What is the value of x?




... Answer is c. 7

Option checking method

i.  14 × 86 = 23 × 50

ii. 11 × 83 = 20 × 47

iii. 12 × 84 = 21 × 48     ✅




Q10. A shopkeeper earns a profit of 21% after selling a book at 21% discount on the printed price. The ratio of the cost price and selling price of the book is:




... Answer is d. 100:121

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



Q11. If  8`{(x+y)}^3` - 27 `{(x+y)}^3` = (5y - x) (`Ax^2` + `By^2` + `Cxy` ), then what is the value of (A+B-C) ?




... Answer is  d.  36

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



Q12. Study the table and answer the question.

In the table, production and sale (in 1000 tonnes) of a certain product of a company over 5 years is given.

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|


In which year(s) sale is more than 90% of the production?




... Answer is  d.  2016, 2018

Find 10% of each year and calculate mentally.




Q13. If  `x+\frac{1}{x}` = 4, then the value of  `x^5+\frac{1}{x^5}` is:




... Answer is d. 724
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q14.   △ABC∽△PQR. The areas of △ABC and △PQR are 64 `cm^2` and 81 `cm^2`,respectively and AD and PT are the medians of △ABC and △PQR, respectively. If  PT = 10.8, then AD = ?




... Answer is  d. 9.6 cm
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q15.The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14th number is excluded, then what is the average of remaining numbers? ( correct to one decimal places)




... Answer is  b.  74.7
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q16.  Let △ABC∽△PQR  and `\frac{ar △ABC }{ ar △PQR}`=`\frac{144}{49}` . If AB = 12 cm, BC = 7 cm and AC =9 cm, then PR (in cm) is equal to:




... Answer is  b. `\frac{21}{4}`
SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q17.   Study the following table and answer the questions:

Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|

In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018?




... Answer is a. 1014

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q18. Some fruits are bought at 15 for ₹140 and an equal number of fruits at 10 for ₹120. If all the fruits are sold at ₹132 per dozen, then what is the profit percent in the entire transaction?




... Answer is b. `3\frac{1}{8}`

  

SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|





Q19. Sides AB and DC of a cyclic quadrilateral ABCD are produced to meet at E and sides AD and BC are produced to meet at F. If ∠ADC = 78° and ∠BEC = 52°, then the measure of ㄥAFB is:
    °
    °
    °
    °
      ... Answer is  b.  28°

      

    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



    Q20. If X+Y=4 and `\frac{1}{X}`+`\frac{1}{Y}`= `\frac{16}{15}`, then what is the value of `X^3`+`Y^3`=?




    ... Answer is  d.  19

      

    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



    Q21. `\frac{\cosec\theta}{\cosec\theta-1}`+ `\frac{\cosec\theta}{\cosec\theta+1}` - `\tan^2\theta` , 0°<?<90°, is equal to:




    ... Answer is a. `sec^2\theta`+1

      

    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



    Q22. Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in`cm^2`) of the rhombus ?




    ... Answer is  d.  120

      

    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



    Q23. The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C . If the difference between the income of B and D is 13200, then the income (in ₹ ) of C is :




    ... Answer is b. 73500

      

    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



    Q24. Find the value of  cot 25° cot 35° cot45° cot 55° cot 65°.




    ... Answer is  c.  1
    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|




    Q25. If the 5-digit number 676xy is divisible by 3, 7 and 11, then what is the value of (3x-5y)?




    ... Answer is d.  9
    SSC CGL Previous Year Question Paper with Solution 2020| Quantitative Aptitude| Educalypse|



     
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