# TCS Papers: Sample Questions 38 - 40 of 502

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## Question number: 38

### Write in Short

Find the value of@@+25-++@16, where@denotes “square” and + denotes “square root”.

### Explanation

@denotes ‘square’ and + denotes ‘square root’

Here,@@+25 = =

And ++@16 = = = 4

Subtracting both the terms,

625 – 4 = 621

## Question number: 39

### Write in Short

An athlete decides to run the same distance in 1/4th less time than she usually took. By how much percent will she have to increase her average speed?

### Explanation

• An athlete decides to run the same distance in th less time than she usually took.
• Let she took t time with s1 speed.
• To complete the distance in time, she needs s2 speed
• Distance covered by her will be same, i. e.

• So, we can say athelete needs to increase her speed by 33.33%.

## Question number: 40

### Write in Short

Find the missing term: 7,9, 13, ? , 27,37.

### Explanation

• The given series is an arithmetic series.
• First term of the series is, a = 7
• Difference between the terms is 2n
• First term =
• Second term =
• Third term =
• Fourth term =
• Fifth term =
• Sixth term =
• Applying this pattern we are getting the exact series terms.
• So, series is 7,9, 13,19,27,37
• Missing term is 19.