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SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 18 October 2020"

Evening-Shift (Quantitative Aptitude)

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Q1. The lenght of a rectanguualr plot is five times of its breadth. If the area of the rectangular plot is 2000m², then what is the breadth of the rectangular plot?

Option:

1. 20m

2. 30m

3. 40m 

4. 10m

Q2. If x³+y³=16 and x+y=4, then find the value of x⁴+y⁴.

Option:

1. 32

2. 36

3. 26

4. 28

Q3. Two numbers are respectively 25% and 60% more than a third number. The ratio of the two numbers is:

Option:

1. 20: 35

2. 20:30

3. 21:31

4. 25:32

Q4. The value of 1+3+5+7+.....................................(2n-1) is:

Option:

1. 

2. 

3. (2n-1) x (2n-1)

4. n x n

Q5. The shadow of a tree is  times the length of the tree. Find the angle of elevation.

Option:

1. 45^o

2. 30^o

3. 60^o

4. 90^o

Q6. If sinθ=0.96, find the cotθ. 

Option:

1. 0.4876

2. 0.2916

3. 0.3456

4. 0.4563

Q7. A single discount equivalent to the discount series of 25%, 15% and 10% is:

Option:

1. 25%

2. 30%

3. 40.2%

4. 42.6%

Q8. If 2(a²+b²)=(a+b)² then,

Option:

1. b=2a

2. a=-b

3. a=2b

4. a=b

Q9. The perimeter of am isosceles triangles is 90 cm. If the base is 26 cm, then find the length of the equal sides.

Option:

1. 32 cm

2. 30 cm

3. 40 cm

4. 42 cm

Q10. Two small circular grounds of diameters 42m and 26m are to be replaced by a bigger circular ground. What would be the radius of the new ground if the new ground has the same area as two small grounds?

Option:

1. 23m

2. 25m

3. 25.01m

4. 24.69m

Q11. Two circles with the same centre P have radii 7.5 cm and 4.4 cm. Through a point A of the larger circle, a tangent is drawn to the smaller circle touching it at B. Find AC (Approximate in cm)

Option:

1. 14.27 cm

2. 14 cm

3. 12.14 cm

4. 13 cm

Q12. A tradesman marks his products 35% above the cost price and allows his customers 15% reduction on their bills, What percentage of profit does he make?

Option:

1. 14-75

2. 14.10

3. 14.25

4. 14

Q13. Find the value of x, if 21^√x+21^√x=29^√x

Option:

1. 2

2. 3

3. 4

4. 0

Q14. The following chart shows the sales (in thousands) of pens, pencils and book in month1, month2 and month3. Answer the question beased on the chard.

Which month has the highest sales?

Option:

1. Month 1

2. Month 1 and Month 3

3. Month 2

4. Month 3

Q15. A train covers a distance in 30 min if it runs at a speed of 54 km/h on an average. The speed at which the train must run to reduce the time of the journey to 20 min is:

Option:

1. 81 km/h
2. 60 km/h

3. none of these

4. 75 km/h

Q16. In an isosceles right-angled triangle, the perimeter is 30m. Find its area (Approximate)

Option:

1. 40 m²

2. 39.60 m²

3. 37.86 m²

4. 38.63 m²

Q17.  The average salary of a person for the months of February,March,April and May is 12,000, and that for the months March,April,May and June is 3, 000. If his salary for the month of June is 8,000, then what is his salary for the month of February?

Option:

1. 4,500

2. 5,000

3. 5,500

4. 4,000

Q18. The following chart shows the sales (in thousands) of pens, pencils and books in month1, month2 and month3. Answer the question based on the chart.

What is average number of pens sold in the 3 months?

Option:

1. 4935

2. 3987

3. 5432

4. 5033

Q19. P can do a work in 10 days and Q can do the same work in 15 days. If they work on it together for 3 days, then the fraction of the work that is left is:

Option:

1. 

2. 

3. 

4. 

 Q20. A person borrows 7,000 for 3 years at 5% p.a. simple interest. He immediately lends it to another person at p.a. for 3 years. Find his gain in the trasaction per years.

Option:

1. 93.33

2. 95.33

3. 90

4. 92

Q21. Which of the following options is divisible by 3?

Option:

1. 3745932

2. 9342589

3. 4539163

4. 2362735

Q22. In an election, candidate X got 70% of the overall valid votes. If 20% of the overall votes were declared invalid and the total numbers of votes is 6400000, then find the number of valid votes polled in fovour of the cadidate.

Option:

1. 358000

2. 358400

3. 400000

4. 450000

Q23. The following chart shows the sales (in thousands) of pens, pencils and books in month1, month2 and month3. Answer the question based on the chart.

Which product has the highest percentageof sales, and in which month (among all months)?

Option:

1. Pencils;Month2

2. Books;Month3

3. Pencils;Month3

4. Pens;Month1

Q24. If cos  , then find the value of sinx-sin³x..

Option:

1. 0.476

2. 0.389

3. 0.358

4. 0.288

Q25. The following chart shows the sales (in thousands) of pens, pencils and books in month1, month2 and month3. Answer the question based on the chart.

Which product has the highest sales in all 3 months?

Option:

1. Pens

2. Books

3. Pens and Books

4. Pencils