MOCK TEST
SSC CGL TIER- I
01. While working 7 hours a day, A alone can complete a piece of work in 6 days and B alone can complete a piece of work in 8 days. How many days do they require to complete a piece of work while working together for 8 hours a day ? a) 3 days b) 4 days c) 2.5 days d) 3.6 days
3
7×6=42 (A)
7×8=56 (B)
Work done by A+B in one hour=7units Whole work is completed by A+B in = =3 days. 02. Find the value of 3+2 2 + 3-2 2 . -3
a) 198 c) 108
-5
= - 5
2 2 7- 5 × 7 + 5 7 - 5
III.
=
2- 7
2 2
7- 5
7-5
= 2
7- 5
from I-II+III we get
b) 180 d) 189
+
1
27-16 2-54 2 +72+27+16 2 +54 2 +72
Ans. (a) Sol. Let the speed of the truck be x km/hr. ATQ. D=S×T
(27) + (72)2 54+144 = 198. 3 7 5 5 2 2 + 5+ 2 2+ 7 7+ 5
a) 1 c) 2 3
150=(45-x)
b) 0 d) 7
06. When the radius of a circle is reduced by x, the area of the circle decreases to half of the previous area. Find the radius of the circle.
3 7 5 5 2 2 + 5+ 2 2+ 7 7+ 5
=
5 5 2- 7 × 2 + 7 2 - 7
3 7
5- 2 5-2
=
5 ×30 18
45-x =18 x=27 km/hr.
Ans. (b)
3 7 5- 2 × 5+ 2 5- 2
200 meter
05. A bus moving at a speed of 45km/hr overtakes a truck 150 meters ahead going in the same direction in 30 seconds. The speed of the truck in (km/hr) is a) 27km/hr b) 24km/hr c) 25 km/hr d) 28 km/hr
3-2 2 3 + 3+2 2 3
03. Simplify
10km/hr thief
100 mt. 6 in 6 minutes = 100 mt. distance b/w them after 6 minutes. 200-100=100 meters
3+2 2 3-2 2 3 3
11km/hr Police
1 minute =
3+2 2 -3 + 3-2 2 -3 is equal to 1
168 56
Ans. (a) Sol.
Vrel =11-10 = 1km/hr 60 minutes = 1000 meters
-3
Ans. (a)
II.
2- 7
= 0.
4
I.
04. A policeman follows a thief who is 200m ahead of the policeman. If the policeman and the thief run at the speed of 10 km/hr and 11 km/hr respectively then what is the distance between them after 6 seconds? a) 100m b) 190m c) 200m d) 150m
Total Work 168 units
Sol .
5 5
7× 5- 7× 2 + 5× 2- 5× 7 + 2× 7 - 2× 5
And. (a) Sol.
Sol .
1
5 5
= 7
2- 7 2-7
5- 2
a) x 2
b)
x 2 2 -1
c) x 2-1
d)
x 2 +1
Ans. (b)
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