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

Evening-Shift (Quantitative Aptitude)

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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.

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, (x > 0, y > 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 = 115^o and ㄥS =  ㄥR, then the measure of ㄥR is:

Option:

1. 67^o

2. 66^o

3. 69^o

4. 68^o

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-45^o), 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.

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 sin³38^o - cos²52^o 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 125^o, then ㄥAQP is equal to:

1. 45^o

2. 50^o

3. 60^o

4. 55^o

Q22. If a+2b=10 and 2ab=9, then Ia-2bI is 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.

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.

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