# SSC CGL 2018 Practice Test Papers | Quantitative Aptitude (Day-45)

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SSC CGL 2018 | Quantitative Aptitude (Day-45)

maximum of 10 points

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The table given below shows a survey carried out at a railway station for the arrivals/ departure of trains for the month of January 2010.

1) How many trains are arrived late to the station?

a) 140

b) 37

c) 150

d) 113

2) What is the total number of late departures from the station?

a) 100

b) 150

c) 92

d) 94

3) The number of trains arrived about 31 โ 60 minutes late is what percentage of total number of late departures from the station?

a) 50%

b) 30%

c) 25%

d) 20%

4) If the punctuality of Railways is defined as the number of occasions on which trains arrived or departed on time as a percentage of total number arrivals and departures from the station, then the punctuality for the month under observation is

a) 91.7

b) 91.4

c) 92.3

d) 93.3

5) If the number of total arrivals to the station is increased by 100 and there is no change in trains arrived late in (0-30) and (31-60) minutes category. If the number of trains arrived on time is increased by 4% what is the number of trains arrived late above 60 minutes?

a) 75

b) 57

c) 67

d) 50

6) The angle of elevation of the top of the tree from a point which is 45โ3 m from the base of the tree is 30o. Find the height of the tower.

a) 45 m

b) 45โ3 m

c) 135 m

d) 120 m

7) In a right angled triangle PQR, right angled at Q, if PQ=3โ6 and PR-QR= 2, what is the value of sin R+ cos R.

a) (1+2โ6)/7

b) (5+2โ6)/10

c) (7+2โ6)/7

d) (8+3โ6)/10

8) Find the equation of the line which make x and y intercepts in the ratio 1: 2 and passes through points (2,4)

a) x+2y=10

b) 2x-y=8

c) 2x+y=10

d) 2x+y=8

9) Area of triangle by straight line ax+by+c=0, aโ 0, bโ 0 with coordinate axes is

d) None of the above

10) The equation ax2+bx+c=0 cannot be a quadratic equation if

a) b = 0

b) c = 0

c) a = 0

d) Both a and b

Direction (1-5) :

Number of trains arrived late = 113 + 30 + 7 = 150

= 92 + 6 + 2 = 100

Number of trains arrived (31 โ 60) minutes late = 30

Total number of late departures = 92 + 6 + 2 = 100

Required Percentage = 30/100 x100 = 30%

Number of occasions on which trains arrived or departed on time = 1250 + 1400 = 2650

Total number arrivals and departures from the station = 1400 + 1500 = 2900

Required percentage = 2650/2900 x100 = 91.4%

Since there is no change in trains arrived late in (0-30) and (31-60) minutes category, changes will be in trains arrived on time and arrived Over 60 min late.

Number of total arrivals to the station = 1400 + 100 = 1500

Trains arrived on time = 1250×104/100 = 1300

The number of trains arrived late above 60 minutes = 7+100 โ 50 = 57

In ฮ ABC,

tan 30= AB/BC( tan ฮธ= Perpendicular/base)

1/โ3= AB/45โ3

AB=45m

PQ=3โ6

PR-QR=2 —– (i)

PR2=PQ2+QR2

PQ2=PR2-QR2

(3โ6)2=(PR+QR)(PR-QR)

54=(PR+QR)(3)

(PR+QR)=18 —— (ii)

On solving(i) and(ii)

PR=10 and QR= 8

Cos R= 8/10=4/5

Sin R=3โ6/10

Sin R+ Cos R= (8+3โ6)/10

2x+y= 8

Substitute x=2 and y= 4 in the equation. =>2(2)+4=8

x- intercept =4 and y โ intercept =8. They are in the ratio 1: 2