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

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

**Morning-Shift (Quantitative Aptitude)**

**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 x ^{3}+y^{3}=16 and x+y=4, then the value of x^{4}+y^{4} 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 cm ^{2}, then the area of triangle BDE is equal to:**

**Option:**

1. 36 cm^{2}

2. 38 cm^{2}

3. 24 cm^{2}

4. 34 cm^{2}

**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 cm^{2}

2. 64 cm^{2}

3. 45 cm^{2}

4. 48 cm^{2}

**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