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SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 19 October 2020"

Morning-Shift (Quantitative Aptitude)

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Q1. The value of tan (63^o-θ)- cot (27^o+θ)+  is:

Option:

1. 0

2. 3

3. 2

4. 1

Q2. If a and β are two roots of the quadratic equation ax2-bx+c=0 where a,b,c are constants and a≠0, then the value of  is:

Option:

1. 

2. 

3. 

4. 

Q3. The average score of cricketer for 20 matches is 52 runs. His highest score is more than its lowest its lowest score by 120 runs. If these two inning are excluded, the average of the remaining 18 matches is 50 runs. The highest score of the player is:

Option:

1. 130

2. 125

3. 120

4. 140

Q4. Study the given chart caefully and asnwer the question accordingly.

In which of the following years was the percentage increase in production from the privious years, the maximum among the given years?

Option:

1. 2014

2. 2016

3. 2012

4. 2011

Q5. A can complete a task in 18 days while B can complete the same task in 12 days. If both work together for 6 days, and then A leaves. In how many days will B complete the task?

Option:

1. 6 days

2. 2 days

3. 3 days

4. 4 days

Q6. Study the given chart caefully and asnwer the question accordingly.

In which of the given years is the percentage increase in the number of hotels in cimparison to the previous year, is the maximum/?

Option:

1. 2004

2. 2003

3. 2001

4. 2002

Q7. In triangel ABC,AD,BE and CF are median and G is the centroid of hte triangle. If the area of the triangle DGC is 20 cm2, them the area of triangle AGF+ the area of triangle BGF is equal to:

1. 40 cm

2. 30 cm

3. 20 cm

4. 25 cm

Q8. A triangle PQR is right angled at Q. E and F are mid points of QR and PR, respectively, What will be the ratio of the area of the quadrilateral PQEF to the area of triangle PQR.

Option:

1. 

2. 

3. 

4. 

Q9. A wire in the shape of a circle of radius 28 cm is bent in the form of a square. What is the difference of their areas?

(Take ₎

Option:

1. 538 cm²

2. 530 cm²

3. 532 cm2

4. 528 cm²

Q10. The marked price of a shirt was 1,800. A man bought the same shirt for 1,200 after getting tow successive discounts. If the first discount was 12%, what was the second discount rate? (Correct to two decimal place)

Option:

1. 22.22%

2. 24. 24%

3. 20.20%

4. 25.25%

Q11. Study the given chart and answer the question.

The percentage increase in the number of workers in 2018 is  maximum is compared to that in 2015 in case of workers of type:

Option:

1. C

2. D

3. A

4. B

Q12. How many numbers between 800 to 2000 are divisible by 13?

Option:

1. 90

2. 92

3. 93

4. 91

Q13. If  ,find the value of  

Option:

1. 4355

2. 4356

3. 4352

4. 4354

Q14. What percentage of the numbers from 101 to 1000 have 9 in the unit's digit?

Option:

1. 20%

2. 15%

3. 12%

4. 10%

Q15. The breadth of rectangular field is two-thirds of its length. If its is 863 m² , then find the cost of fencing it all around at 15/m.

Option:

1. 2,000

2. 1,600

3. 1,800

4. 2,400

Q16. The percentage profit earned by selling a mobile for 12,000 is equal to the percentage loss incurred by selling the same mobile for 9,000. At what price should be sold to make 20% profit.

Option:

1. 18,800

2. 15,400

3. 16,200

4. 12, 600

Q17. A man travelled a distance of 1200 km in 16 hours. He travelled partly by car at a speed of 40 km/h, and partly by train at a speedo of 80 km/h. what is the distance travelled by car?

Option:

1. 96 km

2. 80 km

3. 120 km

4. 100 km

Q18. A person borrowed 1,200 at 8% p.a. and 1,800 at 10% p.a. as simple interest for the same period. He had to pay 1,380 in all as interest. Find the time period.

Option:

1. 4 years

2. 10 years

3. 6 years

4. 5 years

Q19. Simplify the following.

Option:

1. 4

2. 1

2.2

4.3

Q20. Study the given pie-chart and table carefully and answer the question that follows. The percentage-wise distrubution of leactures in five different subjects in a university is shown in the pie-chard. The total number of lectures is 500.

What is the difference in the number of female lectures in chemitry and Mathematics?

Option:

1. 30

2. 20

3. 22

4. 25

Q21. Evaluate the following.

Option:

1. 25

2. 30

3. 20

4. 15

Q22. By adding 3 and 5 in numerotor and denominator of a fraction it becomes . If 1 and 3 are subracted and added form numerator and denominator respectively it becomes  find the fraction.

Option:

1. 

2. 

3. 

4. 

Q23. The radii of two circles are 20 cm and 13 cm, respectively. Find the radius of the circle which has a circumference equal to the sum of the circumference of the two cicles.

Option:

1. 30 cm

2. 32 cm

3. 33 cm

4. 28 cm

Q24. If x=cosecA+ cosA and y= cosecA- cosA, then find the value of 

Option:

1. 2

2. 1

3. 3

4. 0

Q25. Find the smallest positive angle which setisfies the given trigonometric equation.

2 sin²x+√3cosx+1=0

Option:

1. 

2. 

3. 

4.