Quiz 1

Question 1

A bread making machine can make bread of 50kg dough in 3 minutes. How many are such machines required to make bread of 300kg dough in 6 minutes?

6

20.15%

3

64.18%

4

7.71%

5

7.96%

  • PrepInsta Explanation
  • User Explanation

m*d*t/w=m1*d1*t1/w so 3/50=6*x/300 ans is x= 300*3/50*6

x=3

Question 2

Supriya runs a marathon race in 50 minutes at an average speed of 48 km/hr in order to set a national record she need to win the race in 40 minutes considering that her speed remains constant, at what minimum speed she run to set the record?

70 Kmph

6.88%

60 Kmph

75.13%

50 Kmph

11.11%

55 Kmph

6.88%
  • PrepInsta Explanation
  • User Explanation

speed1=48km/hr and time1=50/60hr
distance=speed*time
distance=48*50/60=40km
now it is given that the distance remains same but
she has to win the race in 40 min
therefore now:
time2=40/60 hr and distance=40km
speed2=40/(40/60)=40*60/40=60 km/hr

Question 3

A constructor estimates that 3 people can paint Mr. Khan's house in 4 days. If he uses 4 people instead of 3, how long will they take to complete the job?

4

6.89%

2

7.99%

3

76.86%

5

8.26%
  • PrepInsta Explanation
  • User Explanation

m1 * d1 = m2 * d2
3 *4 = 4 * x
where x = no. of days taken by 4 men to paint

Therefore, x=3

Question 4

Manav drives from his home to the nearest metro station at an average speed of 40km. From the station, he boards a train that takes him to his office at a speed of 80km. the entire distance covered by him is 52km and the entire journey took him 1 hour. Find the distance between the station from where he boards the train and his office?

20 km

13.41%

24 km

60.35%

25 km

11.95%

26 km

14.29%
  • PrepInsta Explanation
  • User Explanation

let from his home to station distance = x
so,
(x/40) + ((52-x)/80) = 1
solving this x = 28 km
so from office to station = 52-x = 52-28 = 24 km

Question 5

In a kilometer race, if A gives B a 40 m start, A wins by 19s But if A gives B a 30 s start, B wins by 40 m. Find the time taken by B to run 5,000 m?

700 Sec

14.95%

750 Sec

44.84%

800 Sec

28.11%

1000 Sec

12.1%

Question 6

The straight line between 2 places is 3000m. A person moves with 6/11km/hr from p to q @12pm and another person moves from opposite direction with speed 5/22km/hr from q to p @ 1 pm.When they will meet together?

4: 10 pm

21.38%

4:25 pm

29.71%

4: 17 pm

33.7%

4: 05 pm

15.22%

Question 7

Hemant and Ajay start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in the lane and at a uniform speed, but Hemant is faster than Ajay. They first pass at a point 18.5 m from the deep end and having completed one length, each one is allowed to rest on the edge for exactly 45 seconds.After setting off on the return length, the swimmers pass for the second time just 10.5 m from the shallow end.How long is the pool?

55.5 m

28.39%

45 m

40.25%

46 m

14.83%

49 m

16.53%
  • PrepInsta Explanation
  • User Explanation

let the speed is a & b (b>a)
total distance =x
two equation will form
18.5/a=(x-18.5)/b (Deep end equation)
x=18.5(a+b)/a..................1
also,
x/b+45+10.5/b=x/a+45+(x-10.5)/a (swallow end equation)
x=10.5(a+b)/(2a-b).........2
equating 1 & 2
we get a/b=37/53
so, x=18.5*90/37=45

Question 8

A 270-meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the length of another train?

220 m

8.71%

230 m

67.8%

210 m

15.15%

200 m

8.33%
  • PrepInsta Explanation
  • User Explanation

if two trains of lengths a and b are moving towards each other
with speeds xkmph and ykmph respectively, then time taken
by them to cross each other= a+b/u+v
here t=9secs.
9=x+270/120+80 (assuming second train length as x)
9=x+270/200*5/18 (converting kmph into m/s)
9=x+270/11.11*5
x=229.95=230

Question 9

How many seconds will a 500-meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train?

42

9.62%

50

13.46%

30

61.15%

28

15.77%
  • PrepInsta Explanation
  • User Explanation

train and man ismoving in the same direction so the
relative speed will be= (63-3)km/hr
= 60km/hr
then 60km/hr * 5/18= 50/3 m/sec
therefore, time = distance/speed
= 500/ (50/3)
= 30 seconds
so the answer is 30 seconds

Question 10

The ratio between speeds of 2 trains is 5:3. If the first train runs 350 km in 2 hours, then what is the speed of the second train?

115Kmph

6.87%

110Kmph

11.83%

105Kmph

77.1%

120Kmph

4.2%
  • PrepInsta Explanation
  • User Explanation

speep =distance/time
speed of first train
5x =350/2=175kmph
x=35
therefore speep of second train is=3x=3*35=105kmph.

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