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

Afternoon-Shift (Quantitative Aptitude)

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Q1. A,B,C are three point so that AB=4 cm, BC=6 cm and AC=10 cm. The number of circles pasing through the points A, B, C is:

Option:

1. 1

2. 3

3. 0

4. 2

Q2. The centroid of an equilateral ∆XYZ is L. If XY=12 cm, then the length of XL (in cm), is:

Option:

1. 5√3

2. 2√3

3. 4√3

4. 3√3

Q3. Given bar graph shows, total expenditure are the gross receipts of a company (in crores). Study the graph and anwer the question that follows.

If profit=gross receipts-total expenditure, then in 1997-98, what percentage of gross receipts is the profit made?

(Correct to one decimal place)

Option:

1. 4.8%

2. 5.4%

3. 3.9%

4. 6.1%

Q4. Given bar graph shows, total expenditure are the gross receipts of a company (in crores). Study the graph and anwer the question that follows.

What is the percentage increase in the gross receipts in 1996-1997 as compared to 1994-95?

Option:

1. 41%

2. 44%

3. 42%

4. 43%

Q5. If 29⁴¹+37⁴¹ is divided by 33, then the reminder is:

Option:

1. 0

2. 3

3. 2

4. 1

Q6. Marked price of an acticle is 20% more then it's cost price. At what percent less should it be sold for no profit and no loss?

Option:

1. 

2. 

3. 

4. 

Q7. The sum of the squares of the sides of a rhombus is 900 m². What is the side of the rhombus.

Option:

1. 17 m

2. 14 m

3. 16 m

4. 15 m

Q8. If 1+9r²+81r⁴=256 and 1+3r+9r²=32, then find the value of 1-3r+9r².

Option:

1. 4

2. 8

3. 16

4. 12

Q9. If 0< θ < 90^o, 3b cosecθ =a secθ and 3a secθ-b cosecθ =8, then the value of 9b²+a² is:

Option:

1. 7

2. 9

3. 8

4. 6

Q10. Find the value of _.

Option:

_{1. 4}

_{2. 12}

_{3. 8}

_{4. 16}

_{Q11. The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770m, is:}

Option:

_{1. 400}

_{2. 500}

_{3. 700}

_{4. 600}

_{Q12. Anil bought some article at 6 for 8 and sold them at 10 for 12. His percentage loss or gain is:}

Option:

_{1. 10% loss}

_{2. 10% gain}

_{3. 8% gain}

_{4. 8% loss}

_{Q13. If a+3b=12 and ab=9, then the vaue of (a-3b) is:}

Option:

_{1. 9}

_{2. 8}

_{3. 6}

_{4. 4}

_Q14. Given bar graph shows, total expenditure are the gross receipts of a company (in crores). Study the graph and anwer the question that follows.

In order to make a profit of 20%, what shold have been the gross receipts (in crore) in 1995-96, if the total expediture remained the same?

Option:

1. 6445

2. 7565

3. 6875

4. 5776

Q15. If cosec²x-2=0, then the value of x(0<x<90^o) is:

Option:

1. 15^o

2. 60^o

3. 30^o

4. 45^o

Q16. Given bar graph shows, total expenditure are the gross receipts of a company (in crores). Study the graph and anwer the question that follows.

The total expediture of the company in 1998-99 exceeds that in 1994-95 by (in crore):

Option:

1. 3800

2. 4800

3. 3700

4. 5500

Q17. If , then find the value of .

1. 2

2. 4

3. 1

4. 3

Q18. The average of 24 numbers is 26. The average of the first 15 numbers is 23 and that of the last 8 number is 33. Find the 16th number.

Option:

1. 16

2. 17

3. 15

4. 18

Q19. The printed of a cooker is 2,000 and discount are 30%,20% and 10%, repectively. Find the selling price of the cooker.

Option:

1. 1,002

2. 1,008

3. 1,004

4. 1,006

Q20. If a : b=3 : 4, find the value of (7a-4b) : (8a+4b).

Option:

1. 1 : 8

2. 2 : 3

3. 3 : 8

4. 2 : 5

Q21. The value of of sin 60^o cos30^o -cos60^o sin30^o is:

Option:

1. 1

2. 

3. 

4. 

Q22. 10 men working 5 hours/day earn 300. How much money will 15 men working 10 hours/day earn?

Option:

1. 800

2. 600

3. 650

4. 900

Q23. Mohan travels three equal distances at speeds of 12 km/h, 18 km/h and 24 km/h. If he takes a total of 13 hours, then what is the total distance covered?

Option:

1. 214 km

2. 212 km

3. 216 km

4. 218 km

Q24. The sum of simple interest on a sum at 8% p.a. for 4 years and 8 years in 960. The sum is:

Option:

1. 800

2. 1100

3. 1000

4. 900

Q25. The side MN of ∆LMN is produced to X. If ㄥLNX =117^o and ㄥM= ㄥL, then ㄥL is:

Option:

1. 78^o

2. 76^o

3. 77^o

4. 75^o