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

Morning-Shift (Quantitative Aptitude)

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Q1. The given pie-chart represents the percentage of students enrolled i five different sports. The total number of students is 2800.

If 24 students playing cricket are shifted to Kabaddi, then find the new ratio of the number of sutdents in Cricket to those in Kabaddi.

Option:

1. 31 : 18

2. 30 : 17

3. 31 : 16

4. 30 : 13

Q2. Malti bought a TV for 8,000 includng GST at 10% What is the original cost of the TV?

Option:

1. 8,800

2. 8,000

3. 7,920

4. 9,600

Q3. If x³+y³=16 and x+y=4, then the value of x⁴+y⁴ is:

Option:

1. 48

2. 32

3. 64

4. 30

Q4. If  _find  , where x>0.

Option:

1. 74

2. 76

3. 84

4. 85

Q5. A is a point at a distance 26 cm from the centre O of a circle of radius 10 cm. AP and AQ are the tangents to the circle at the point of contacts P and Q. If a tangent BC is drawn at a point R lying on the minor are PQ to interesect AP at B and AQ at C, then the perimeter of ∆ABC is:

Option:

1. 48 cm

2. 46 cm

3. 42 cm

4. 40 cm

Q6. Evaluate: [7+7x(7+7÷7)]+7÷7.

Option:

1. 10

2. 64

3. 5

4. 63

Q7. ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If the area of triangle ABC is 136 cm², then the area of triangle BDE is equal to:

Option:

1. 36 cm²

2. 38 cm²

3. 24 cm²

4. 34 cm²

Q8. If Cos 3θ= Sin (θ-34^o), then the value of θ as an acute angle is:

Option:

1. 56^o

2. 17^o

3. 31^o

4. 34^o

Q9. Rahul mand Mithun travel a distance of 30 km. The sum of their speeds is 70 km/h and the total time taken by both to travel the distance is 2 hours 6 minutes. The difference between their speed is:

Option:

1. 35 km/h

2. 20 km/h

3. 25 km/h

4. 30 km/h

Q10. Study the given bar chart and answer the question that follows.

Production of Fertilizers by a Company (in 10,000 tonnes) Over the Years

What was the approximate percentage increase in the production of fertilizers from 1998 to 1999?

Option:

1. 44.4%

2. 50%

3. 40%

4. 48.4%

Q11. If √3 cos θ=sin θ, then the value of  is:

Option:

1. 

2. 

3. 5

4. 

Q12. In an isosceles triangles ABC with AB=AC and AD is perpendicular to BC, if AD=6 cm and the perimeter of ∆ABC is 36 cm, then the area of ∆ABC is;

Option:

1. 54 cm²

2. 64 cm²

3. 45 cm²

4. 48 cm²

Q13. An article was sold at a loss of 12%. If it was sold for 630 more, then there would have been a gain of 6%. Find the cost price of the article.

Option:

1. 3, 500

2. 2, 800

3. 2, 500

4. 3, 000

Q14. The given pie-chart represents the percentage of students enrolled i five different sports. The total number of students is 2800.

What is the average number of students enrolled in Hockey and Tennis together?

Option:

1. 560

2. 580

3. 540

4. 460

Q15. If the difference between the compound interest and simple interest on a certain sum of money for three years at 10% p.a is 558, then the sum is:

Option:

1. 18,500

2. 15, 000

3. 16, 000

4. 18, 000

Q16. The salaries of Vipin and Dinesh are in the ratio 5 : 8. If the salary of each in increased by 4,800, then new ratio becomes 7 : 10. What is Vipin's Salary?

Option:

1. 13,500

2. 12, 000

3. 12, 500

4. 10, 000

Q17. If  

Option:

1. 1

2. 15

3. 10

4. 0

Q18. If 4M37094267N is divisible by both 8 and 11, where M and N are single digit integers, then the values of M and N are:

Option:

1. M=5, N=6

2. M=5, N=4

3. M=5, N=2

4. M=2, N=5

Q19. The average of nine 2 digit numbers is decreased by 6 when the digit of one of the 2 digit numbers is interchanged. Find the difference between the digit of that number.

Option:

1. 6

2. 8

3. 2

4. 4

Q20. Study the given bar chart and answer the question that follows.

Production of Fertilizers by a Company (in 10,000 tonnes) Over the Years

The average production in 2000 and 2001 was less than the average production of which of the following pairs of years?

Option:

1. 2001 and 2002

2. 1997 and 1998

3. 1999 and 2000

4. 1996 and 1997

Q21. The difference of two positive numbers is 1020. If 7.6% of the greater number is 12.4% of the smaller number, then the sum of the two numbers is equal to:

Option:

1. 3250

2. 4520

3. 3520

4. 4250

Q22. ABC is a right angled triangle, right angled at A. A circle is inscribed in it. The lengths of two sides containing the right angle are 48 cm and 14 cm. The radius of the inscribed circle is:

Option:

1. 4 cm

2. 8 cm

3. 6 cm

4. 5 cm

Q23. If 3.96 cubic dm of lead is to be drawn in to a cylindrical wire of diameter 0.6 cm, then the length of the wire (in meters), is:

Option:

1. 140 m

2. 120 m

3. 130 m

4. 125 m

Q24. If 

Option:

1. 4

2. 0

3. 2

4. 1

Q25. A and B together can complete a piece of work in 15 days. B and C together can do it in 24 days. If A is twice as good a workman as C, then in how many days can B alone complete the work?

Option:

1. 60 days

2. 40 days

3. 52 days

4. 45 days