# 08 July 2019 – Morning-Shift (Quantitative Aptitude)

SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 08 JULY 2019”

Morning-Shift (Quantitative Aptitude)

Q.1. If a 8-digit number 30x558y2 is divisible by 88, then the value of (6x + 6y) is:

Options :

1. 42
2. 66
3. 35
4. 30

Q.2. In a ∠ABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠A = 132°, then the measure of ∠BOC is:

Options :

1. 110°
2. 84°
3. 145°
4. 55°

Q.3. The sum of salaries of A and B is Rs 43000. A spends 95% of his salary and B spends 80% of his salary. If their savings are the same, what is A’s salary (in Rs)?

Options :

1. 8000
2. 34400
3. 10600
4. 35000

Q.4. Two students, A and B, appeared for an examination. A secured 8 marks more than B and the marks of the former was 55% of the sum of their marks. The sum of the marks obtained by A and B is:

Options :

1. 90
2. 80
3. 75
4. 100

Q.5. A and B can complete a piece of work in 15 days and 10 days respectively. They got a contact to complete the work for Rs35000. The share of A (in Rs) in the contracted money will be:

Options :

1. 14000
2. 7000
3. 15000
4. 21000

Q.6. If each side of a rectangle is measured by 22%, then its area will increase by:

Options :

1. 44%
2. 50%
3. 48.84%
4. 46.65%

Q.7. In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of AC exceeds the length of AB by 9 cm. The perimeter of triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

Options :

1. 7
2. 10
3. 9
4. 8

Q.8. If (x + 8)³ + (2x + 16)³ +(2x + 13)³ = 3(x – 8) + (2x + 16) +(2x + 13), then what is the value of x?

Options :

1. 0.7
2. -1
3. 0
4. 1

Q.9. If x = 2 +√3 then the value of x³ + x-3 is:

Options :

1. 52
2. -52
3. -52√3
4. 52√3

Q.10. A person purchased a vehicle for Rs 4,90,828 and sold it for Rs 5,89,828. What is the percent profit earned on the vehicle (correct to two decimal places) ?

Options :

1. 20.42%
2. 25%
3. 18.65%
4. 15%

Q.11. The ratio between the speed of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the speed (in km/h) of the first train is:

Options :

1. 180
2. 175
3. 165
4. 150

Q.12. Two numbers are in the ratio 3 : 4. On increasing each of them by 30, the ratio becomes 9:10. The sum of the numbers is :

Options :

1. 25
2. 35
3. 30
4. 32

Q.13. A dealer buys an article marked at Rs.20000 with two successive discounts of 20% and 5%. He spends Rs.1000 for its repair and sells it for Rs.20000. What is his profit/loss percent (correct to two decimal places) ?

Options :

1. 25.64% loss
2. 23.46% profit
3. 25.64% profit
4. 23.64% loss

Q.14.  The average age of fifteen persons is years. If two more persons are added, then the average is increased by years. The new persons have age difference of years. The age (in years) of the younger among the new persons is:

Options :

1. 50
2. 61
3. 54
4. 58

Q.15. If 34√x + 44√x = 54√x then the value of x is:

Options :

1. 2
2. 4
3. 8
4. 16

Q.16.  The given Bar Graph presents the number of students of two schools for six years.

What is the average number of students from school B during the six year period (correct to two decimal places) ?

Options :

1. 656.17
2. 616.67
3. 664.37
4. 660.17

Q.17. The chord of the contact of tangents drawn from a point on the circle x² + y² = a² to the circle x² + y² = c² such that bp = am c,where m,n,p N, and m,n,p are prime to each other, then the value of 2m + n + 2p – 3 is:

Options :

1. 6
2. 4
3. 5
4. 2

Q.18. The simplified value of (16/5 + 3/5) ÷ 8/5 / 8/7 ÷ {5/7 + (1/7 ÷ 1/3)} is:

Options :

1. 19/64
2. 19/16
3. 19/7
4. 19/8

Q.19. If cosec θ = 3x and cot θ = 3/x , (x≠o) then the value of 6(x² – 1/ x²) is:

Options :

1. 1/4
2. 1/2
3. 1
4. 2/3

Q.20. The given Bar Graph presents the number of students of two schools for six years.

In which year, the absolute difference between the numbers of students in two schools is the highest?

Options :

1. 2010
2. 2013
3. 2012
4. 2011

Q.21. If cos x = -1/2 and π < x < 3π /2, then the value of 2tan²x + 3cosec²x is:

Options :

1. 10
2.8
3.4
4.2

Q.22. The given Bar Graph presents the number of students of two schools for six years.

In which year, the percentage increase in students in school B is the highest in comparison to its previous year?

Options :

1. 2013
2. 2009
3. 2010
4. 2011

Q.23.  If 2(sec² 39°- cot²31°)- 2/3sin 90° – tan²56° y tan² 34° = y/3, then the value of y is:

Options :

1. -1
2. -2/3
3. 2/3
4. 1

Q.24. There are two circle of radius 5 cm and 3 cm respectively. The distance between their centres is 10 cm. The length (in cm) of a transverse common tangent is:

Options :

1. 6
2. 9
3. 8
4. 10