SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 11 JULY 2019”

Morning-Shift (Quantitative Aptitude)

Q1. The full marks for a paper is 300. The break-up of the marks into theory (X), practical (Y) and (Z) project, which are the three components of evalution is 6 : 5 : 4. In order to pass one has to score at least 40%, 50% and 50% respectively in XYZ and 60% in aggregate. The marks scored by four students ABC and D are shown in the given Bar Graph.

How much percentage marks more than B has C scored in practical

Options:

1. 40

2. 20

3. 30

4. 60

**Correct answer: 30**

Q2. With reference to a number greater than one, the difference between itself and its reciprocal is 25% of the sum of itself and its reciprocal. By how much percentage (correct one decimal place) is the fourth power of the number greater than its square?

Options:

1. 62.5

2. 66.7

3. 64.5

4. 57.8

**Correct answer: 66.7**

Q3. AB and CD are two chords of a circle which intersect at a point O inside the circle. It is given that, AB = 10 cm, CO= 1.5 cm and DO = 12.5 cm. What is the ratio between the larger and smaller among AO and BO?

Options:

1. 3 : 2

2. 4 : 1

3. 7 : 3

4. 3 : 1

**Correct answer: 3 : 1**

Q4. During a practice session in a stadium an athlete runs along a circular track and her performance is observed by her coach standing at a point on the circle and also by her physiotherapist standing at the centre of the circle. The coach finds that she covers an angle of 72° in 1 min. What will be the angle covered by her in 1 second according to the measurement made by her physiotherapist?

Options:

1. 2.4

2. 1.2

3. 4.8

4. It depend on the position of the coach on the circular track

**Correct answer: 2.4**

Q5. The full marks for a paper is 300. The break-up of the marks into theory (X), practical (Y) and (Z) project, which are the three components of evalution is 6 : 5 : 4. In order to pass one has to score at least 40%, 50% and 50% respectively in XYZ and 60% in aggregate. The marks scored by four students ABC and D are shown in the given Bar Graph.

What is the average marks of the four students in theory?

Options:

1. 60

2. 65

3. 70

4. 68

**Correct answer: 65**

Q6. The value of

18.43 x 18.43 – 6.57 x 6.57 / 11.86 is:

Options:

1. 23.62

2. 26

3. 24.12

4. 25

**Correct answer: 25**

Q7. A purchased two articles for Rs.200 and Rs.300 respectively and sold at gains of 5% and 10% respectively. What was his overall gain percentage?

Options:

1. 8

2. 5

3. 9

4. 6

**Correct answer: 8**

Q8. A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together in how many days can they finish 50% of the work, if they work together?

Options:

1. 6

2. 8

3. 9

4. 12

**Correct answer: 6**

Q9. The ten digit number 2x600000y8 is exactly divisible by 24. If x ≠ 0 and y ≠ 0, then the least value of (x + y) is equal to:

Options:

1. 2

2. 5

3. 8

4. 9

**Correct answer: 5**

Q10. The average of 1088 real numbers is zero. At most how many of them can be negative?

Options:

1. 88

2. 100

3. 1087

4. 544

**Correct answer: 1087**

Q11. The two diagonals of a rhombus are respectively, 14 cm and 48 cm. The perimeter of the rhombus is equal to:

Options:

1. 100 cm

2. 160 cm

3. 80 cm

4. 120 cm

**Correct answer: 100 cm**

Q12. A certain sum was invested on simple interest. The amount to which it had grown in five years was 5/4 times the amount to which it had grown in three years. The percentage rate of interest was:

Options:

1. 15%

2. 25%

3. 20%

4. 10%

**Correct answer: 20%**

Q13. For all ∞^{t}_{i }s_{t }(i = 1,2,3,…,20) lying between 0° and 90°, it is given that sin ∞_{1} + sin ∞_{2} + sin ∞_{3} + …..+ sin ∞_{20 }= 20

What is the value (in degrees) of (∞_{1} + ∞_{2} + ∞_{3} + …..+ ∞_{20 })

Options:

1. 900

2. 1800

3. 0

4. 20

**Correct answer: 1800**

Q14. The ration of the square of a number to the reciprocal of its cube is 243/16807

What is the number?

Options:

1. 2/7

2. 3/7

3. 5/7

4. 7/3

**Correct answer: 3/7**

Q15. O,G,I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are indentical ?

Options:

1. O and I only

2. O,G,I and H

3. O and G only

4. O, G and H only

**Correct answer: O,G,I and H**

Q16. What is the value of cosec² 30° + sin² 45° + sec² 60° +tan² 30°?

Options:

1. 8

2. 53/6

3. 9

4. 25/3

**Correct answer: 53/6**

Q17. For 0° ≤ θ ≤ 90°, what is θ , when

√3cosec θ + sin θ = 1?

Options:

1. 0°

2. 30°

3. 45°

4. 90°

**Correct answer: 90°**

Q18. An article having marked price, Rs.900, was sold for Rs.648 after two successive discounts . The first discount was 20%. What was the percentage rate of the second discount?

Options:

1. 5

2. 15

3. 10

4. 12.5

**Correct answer: 10**

Q19. If 10/7 (1 – 2.43 X 10¯^{3}) = 1.417 + x, then x is equal to:

Options:

1. 0.417

2. 0.81

3. 0.0081

4. 0.417

**Correct answer: 0.0081**

Q20. The simplified value of {5/4 of (7/3 ÷ 7/5) – 17/12} + 1/9 ÷ 7/3 + 2/7 + 1/6 is :

Options:

1. 1

2. 3/2

3. 7/3

4. 7/6

**Correct answer: 7/6**

Q21. The full marks for a paper is 300. The break-up of the marks into theory (X), practical (Y) and (Z) project, which are the three components of evalution is 6 : 5 : 4. In order to pass one has to score at least 40%, 50% and 50% respectively in XYZ and 60% in aggregate. The marks scored by four students ABC and D are shown in the given Bar Graph.

Who among the students could not pass?

Options:

1. B only

2. A only

3. B and C

4. B and D

**Correct answer: B and D**

Q22. If (3x + 1)³ + (x – 3)³ + (4 – 2x)³ + 6 (3x + 1) (x – 3) (x – 2) = 0,

then x is equal to:

Options:

1. 1

2. -1

3. 1/2

4. -1/2

**Correct answer: -1**

Q23. The full marks for a paper is 300. The break-up of the marks into theory (X), practical (Y) and (Z) project, which are the three components of evalution is 6 : 5 : 4. In order to pass one has to score at least 40%, 50% and 50% respectively in XYZ and 60% in aggregate. The marks scored by four students ABC and D are shown in the given Bar Graph.

Arrange the students B,C and D according to the ascending order of the aggregate marks scored by them.

Options:

1. B, C, D

2. B, D, C

3. D, B, C

4. C, D, B

**Correct answer: B, D, C**

Q24. The platform of a station 400 m long starts exactly where the last span of a bridge 1.2 km long ends. How long will a train 200 m long and travelling at the speed of 72 km/h take to cover the distance between the starting point of the span of the bridge and the far end of the platform?

Options:

1. 1.5 min

2. 1.2 min

3. 1.6 min

4. 1.8 min

**Correct answer: 1.5 min**

Q25. ABC DEF and their perimeters are 60 cm and 48 cm respectively. What is the length AB, if DE is equal to 9 cm?

Options:

1. 18 cm

2. 12 cm

3. 17.5 cm

4. 16 cm

**Correct answer: 12 cm**