# Special Quant Quiz (Speed distance & time) SSC CGL Tier-II 2016

Q1. Two
persons P and Q start from the points A and B towards each other at 11 am.
After meeting at a point C, they take 4 and 9 hours respectively to reach to
the point B and A. Find the time when P reaches to the point B.

(a) 7pm
(b) 9pm
(c) 8pm
(d) 10pm

Q2. Walking
from home at 2/3rd of his usual speed, a man reaches his office 30
minutes late. Had the person walked at 5/4th of his usual speed,
find the time taken by the man to reach his office.

(a) 45
minutes
(b) 50
minutes
(c) 48
minutes
(d) 60
minutes

Q3. Two
trains are running at 40 km/h and 20 km/h respectively in the same direction.
Fast train completely passes a man sitting in the slower train in 5 seconds.
What is the length of the fast train?

Q4. A monkey
is running towards a vertical mirror with a speed of 10 m/s on a line which is
perpendicular to the plane of the mirror. The mirror is moving towards Monkey
with the speed of 6 m/s along the same line. Find the speed of Monkeyâ€™s image
with respect to Monkey.
(a) 15 m/s
(b) 25 m/s
(c) 30 m/s
(d) 32 m/s

Q5. Two
persons living in different towns 32 km apart, they started at 1 pm to see each
other at the rate of 3.5 and 4.5 km/hr respectively. When will they meet?

(a) 4 pm
(b) 5 pm
(c) 7 pm

(d) 6 pm

Q6. A stone is vertically thrown, the height achieved by the stone after t time is given by 12t-6t^2. Find the distance covered by the stone in the last second.
(a) 1
(b) 6
(c) 2
(d) 12

Q7. If a man
cycles at 10 km/hr, then he arrive at a certain place at 1 pm. If he cycles at
15 km/hr, he will arrive at the same place at 11 am. At what speed must he
cycle to get there at noon?
(a) 11 km/hr
(b) 12 km/hr
(c) 13 km/hr
(d) 14 km/hr

Q8. Two gunshots were fired at the interval
of 12 minutes. One person, moving towards the place from where gunshots were
fired, listens the two sounds at the interval of 11 minutes. If the speed of
the sound in 330 m/s, find the speed of the person.
(a) 33 m/s
(b) 30 m/s
(c) 33.5 m/s
(d) 27.5 m/s

Q9. A and B run towards each other starting from P and Q respectively with respective speeds 3 kmph and 7 kmph. After meeting, each other to reach P, if B takes x hours. A takes 100/x hours to reach Q, find the distance between P and Q.
(a) 50 km
(b) 120 km
(c) 130 km
(d) 100 km

Q10.  A person travels a distance AB at 10.368 m in
5 seconds. In the last four seconds, every second he covers a distance equal to
1/5th of the total distance covered upto the end of the previous second.
Find the distance covered in the 1st second.
(a) 6 m
(b) 3.125 m
(c) 2.5 m
(d) 5 m

Q11. A, B, C
are running clock wise around a circular track and their time periods to run a
circle are 1min, 3min and 5min respectively. Find the time interval after which
they meet for the first time at the starting point.
(a) 9 min
(b) 15 min
(c) 10 min
(d) 12 min

Q12. Karan
and Arjun run a 100 meters race, where Karan beats Arjun by 10 meters. To do a
favour to Arjun, Karan starts 10 meters behind the starting line in  second 100 meters race. They both run at their
earlier speeds. Which of the following is true in connection with the second
race?
(a) Karan
beats Arjun by 1 meter
(b) Arjun
beats Karan by 1 meter
(c) Both
Karna and Arjun reaches at same time
(d) Karan
beats Arjun by 10 meter

Q13.
Achilles, running at the speed of 36 km/hr throws a spear at Hector who is running
towards Achilles at the speed of 27 km/hr. At this moment distance between them
is 95 m. Find the position of Hector from the starting point when spear hits
him. Given that Achilles can throw a spear at the speed of 30 m/s.
(a) 16 m
(b) 13.125 m
(c) 12.5 m
(d) 15 m

Q14. A boat travels from point A to point B upstream and returns from point B
to point A downstream. If the round trip of 216 km takes 15 hours and the speed
of the boat in still water is 12 kmph more than the speed of the stream, then
find the time taken for the downstream journey.

(a) 12 hours
(b) 4 hours
(c) 8 hours
(d) 6 hours

Q15. An
artillery gun is fired twice at an interval of 25 seconds. A motorist moving
towards the gun heard the sounds of the gunfire at an interval 24 seconds. If
the speed of sound is 336m/s what is the speed of the car?
(a) 21 m/s
(b) 13.44
m/s
(c) 16 m/s
(d) 14 m/s

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