Question

Diagnostic Test
Support ID: DD2D2B
Question Number 14
A metro train when departed from source station had 100 people travelling in it. There were 20
stations numbered 1 through 20, excluding the source station. At every station which is a multiple
of 3, 15 people joined the train. At every station which is a multiple of 7, 30 people entered the
train. At every remaining odd-numbered station, 20 people left the train. At every remaining
station, 10 people left the train.
How many unique people travelled via train
Fill in the blanks given in the question
ANSWER
SKIP​

Answer 1

Explanation:

250

6x15 + 2x30 + 100

3 multiples brlow 20=6

7 =2

initial 100

Answer 2

Answer:

70 travellers

Explanation:

100 people travelling in the train

20 stations numbered 1 to 20, excluding the source station

• station which is a multiple of 3

                          6×15 = 90 ( 3,6,9,12,15,18)

• station which is a multiple of 7

                      2 × 30 = 60 (7,14)

Total passengers that entered and are travelling in the train are

       100 + 90 + 60 = 250

Remaining odd-numbered station are

       6 × 20 = 120 ( 1, 5, 11, 13, 17, 19)

Remaining station

     6 × 10 = 60  ( 2,4,8,10,16,20)

There fore the total no of unique travellers are

  250- 120-60

= 70 travellers