SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 20 OCTOBER 2020"Evening-Shift (Quantitative Aptitude)

 

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SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 20 October 2020"

Evening-Shift (Quantitative Aptitude)


Q1. The averagte age of a man and his son is 60 years. The ratio of their ages is 13:7 , respectively. What is the son's age?

Option:

1. 42 Years 

2. 41 Years

3. 43 Years

4. 40 Years

Q2. Study the following bar graph and anwer the question that follows.

https://sscportal.in/sites/default/files/SSC-CHSL-LOGO.gif

In which of the following pairs of years, the average export of diamonds was closest to 12 crores?

Option:

1. 2011 and 2012

2. 2010 and 2011

3. 2013 and 2014

4. 2012 and 2013

Q3. Two circles with centres P and Q of radii 7 cm and 3 cm, respectively, touch each other externally at a point A. BC is a direct common tangent to these two circles where B and C are the points on the circles respectively. The length of BC is:

Option:

1. √21 cm

2. 3√21 cm

3. 2√21 cm

4. 4√21 cm

Q4. If the breadth and perimeter of a rectangle are in the ratio 1:8 and the area of rectangle is 363 cm2 , then the breadth of the rectangle is:

Option:

1. 11 cm

2. 12 cm

3. 10 cm

4. 13 cm

Q5. If (a+3b) : (2a+4b) = 3 : 5, then (a-b) : (a+b) is equal to:

Option:

1. 2:3

2. 1:2

3. 3:2

4. 2:1

Q6. What is the value of

-77 + 800 ÷ [83 - {8 x 9 + (18-3 x 5)}] ?

Option:

1. 23

2. 24

3. 25

4. 26

Q7. A person bought 60 books for 60 each. He sold 50 of them at a loss of 4%. At what per cent profit should he sell the remaining books so that he gains 5% in the entire transaction?

Option:

1. 30%

2. 60%

3. 40%

4. 50%

 Q8. If 4x2 + y2 = 40 and xy = 6, (> 0, > 0) then the value of 2x+y si

Option:

1. 24

2. 4

3. 8

4. 16

Q9. If x3+27y3+64z3=36xyz, then the relationship between x,y and z is

Option:

1. x-3y+4z=0

2. x+3y+4z=0

3. x+3y=4z

4. x+y+z=0

Q10. At simple interest Gaurav borrows 1,500 from Sandeep at the rate of 14% per annum. What amount of money should Gaurav pay to Sandeep after 1 year to clear the debt?

Option:

1. 1,715

2. 1,705

3. 1,700

4. 1,710

Q11. How many minutes does Shyam take to cover a distance of 500 m if he runs at a speed of 30 km/h?

Option:

1. 

2. 2

3. 1

4. 

Q12. A single discount equivalent to a discount series of 5%,10%,15% and 20% is:

Option:

1. 43.86%

2. 40.86%

3. 42.86%

4. 41.86%

Q13. The centroid of an equilateral triangle ∆PQR is L. If PQ = 18 cm, then the length of PL is:

Option:

1. 3√3 cm

2. 4√3 cm

3. 5√3 cm

4. 6√3 cm

Q14. Antony and Vikash together can complete a piece of work in 20 days and Vikash alone can complete it in 25 days. In how many days can Antony alone complete the same work?

Option:

1. 80 days

2. 100 days

3. 110 days

4. 90 days

Q15. The side ST of ∆RST is produced to P. If ㄥRTP = 115o and ㄥS =  ㄥR, then the measure of ㄥR is:

Option:

1. 67o

2. 66o

3. 69o

4. 68o

Q16. If the value of sec B+tan B=r, then the value of sec B-tan B is equal to:

Option:

1. -r

2. r2

3. 

4. 0

Q17. 225+226+227 is divisible by:

Option:

1. 7

2. 6

3. 9

4. 5

Q18. If cot A = tan(2A-45o), A is an acute angle then tan A is equal to:

Option:

1. 0

2. 

3. √3

4. 1

Q19. Study the bar graph and answer the question that follows.

https://sscportal.in/sites/default/files/SSC-CHSL-LOGO.gif

The ratio of total production of organic fertilisers by the company in the years 2005,2006 and 2008 to the total production in the years 2001,2002,2003 and 2004, is:

Option:

1. 5 : 6

2. 3 : 4

3. 6 : 5

4. 4 : 3

Q20. The value of sin338o - cos252o is:

Option:

1. 0

2. 

3. 1

4. √2

Q21. The tangent at a point A of a circle with centre O intersects the diameter PQ of the circle (when extended) at the point B. If ㄥBAP 125o, then ㄥAQP is equal to:

1. 45o

2. 50o

3. 60o

4. 55o

Q22. If a+2b=10 and 2ab=9, then Ia-2bis equal to:

Option:

1. 6

2. 8

3. 2

4. 4

Q23. Study the graph and answer the question that follows.

The chart represents the demand and production of a certain item (in metric tonnes) for five companies U,V,X,Y and Z.

https://sscportal.in/sites/default/files/SSC-CHSL-LOGO.gif

If p% of the demand of the item for company U is equal to the production for company Z, then p is equal to:

Option:

1. 65

2. 75

3. 85

4. 55

Q24. Study the following bar graph and answer the question that follows.

https://sscportal.in/sites/default/files/SSC-CHSL-LOGO.gif

In which year was the maximum percentage increase in diamond exports compared to the previous year?

Option:

1. 2009

2. 2012

3. 2014

4. 2010

Q25. Richa invests in mutual funds a sum of 5,59,968, which is 19% of her annual income. What is her monthly income?

Option:

1. 1,45,600

2. 3,45,600

3. 2,45,600

4. 4,45,600