# TCS Placement: Sample Questions 65 - 66 of 502

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## Question 65

### Question

MCQ▾

The distance between two stations A and B is 220 km. A train leaves A towards B at an average speed of 80 km/hr. After half a hour, another train leaves B towards A at an average speed of 100 km/hr. What is the distance of the point where the two trains meet, from A?

Choice (4)

a.

150 km

b.

140 km

c.

130 km

d.

120 km

d.

### Explanation

• First train travels from A to B with 80 kmph speed at x time.
• Second train travels from B to A with 100 kmph speed at time.
• Let required distance be d km. Then,

• So, the distance where both trains can meet is 120 km from A.

## Question 66

Edit

### Write in Short

Find the missing in the series: 70, 54,45, 41, ________.

### Explanation

First term of the series is 70.

Second term of the series is 54, i.e.. Difference between first and second term of the series is

Third term of the series is 45, i.e.. Difference between second and third term of the series is

Fourth term of the series is 41, i.e.. Difference between third and fourth term of the series is

Looking at the analogy, we can conclude that difference between two consecutive terms is decreasing in a manner of perfect square number.

So, difference between fourth and fifth term will be 12, i.e.. 41 - x = 12

x = 41 - 1

x = 40

So, next term of the given series will be 40.

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