Exams

Let the two conditioners be A and B

'A' cools at 40min

'B' at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

The given number series is 6, 6, 9, 18, 45, ?

Here the series follows a pattern that,

6 

6 x 1 = 6

6 x 1.5 = 9

9 x 2 = 18

18 x 2.5 = 45

45 x 3 = 135

Hence, the next number in the given number series is 135.

‘To’ is always followed by the first form of the verb. So, the phrase ‘to taking part in’ needs to be replaced with ‘to take part in’. Thus, the correct formation would be, ‘He wanted my permission to take part in sports’.

The sentence is grammatically and contextually correct. This is because, the verb, ‘to look forward to’ means toanticipate. It requires a direct object and it will be the gerund form of the verb i.e. ‘meeting’. Thus, the correct formation would be, ‘My brother is looking forward to meeting his employer tomorrow’.

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100 and Increased breadth = 120100 

New area = 120100x*120100y=3625xy m2 

The difference between the Original area  and New area  is:  

3625xy-xy

1125xy Increase % =1125xyxy*100= 44%