CAT Questions

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we know that speed = distance traveled/time taken
let the total distance traveled by the car is 2x km.
then time taken by it to cover first half is x/60 hour.
and for second half is x/40 hour.
Then average speed= total distance travelled / total time taken.

i.e. 2xx60+x40

=> 2x5x120

= 48 kmph.

Yes, all the above given sentences have an interjection.

1. Hey ! is an interjection in the sentence , Hey!, where did I park my car? 

2. Well is an interjection in the sentence, Well!, that's a relief.

3. Oh! is an interjection in the sentence , Oh!, now I remember where i put my wallet.

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

Signing the Agreement with Somalia shall facilitate the Indian prisoners imprisoned in Somalia or vice-versa to be near to their families, for serving remaining part of their sentence and shall facilitate their social rehabilitation.