Alvin travelled from his town to city. Alvin went to city by bicycle at a speed of 25 km per hour and came back at a speed of 4 km per hour. If element took 5 hours and 48 minutes to complete his journey, what is the distance between town and city?

Average speed of Alvin=2xy/x+y=2x25x4/25+4=200/29km/hr

Distance travelled i= speed x time

= 200/29x 29/5= 40 km

Distance between city and town= 40/2= 20 km

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In following questions, one term in number series is incorrect.

Find out the incorrect number 3, 10, 27, 4, 16, 64, 5, 25, 125

Find out the incorrect number 3, 10, 27, 4, 16, 64, 5, 25, 125

The correct sequence is 3, 3

So ,10 is wrong and should be replaced by 3

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

Then, 2x + 3y = 77 ...(i) and

3x + 2y = 73 ...(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

Putting y = 17 in (i), we get: x = 13.

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In a fort there is enough food sufficient for 1200 man 5 days how long the food would have last for if there would would have been thousand men.

Let food will last for X days.

As men and days are inversely proportional to each other so

X/5=1200/1000

X=1.2*5=5

X=6

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In following alphabet series , one term missing as shown by question mark . Choose missing term from options.

JE, LH, OL, SQ, ?

The first letter of the first, second, third,... terms are respectively moved two, three, four,... steps forward while the second letters of three terms are respectivvely moved three, four, five,... steps forward to obtain the corresponding letters of the successive terms..

A + B means A is the father of B.

A -B means A is the wife of B.

A Ã—B means A is the brother of B.

A Ã·B means A is the daughter of B.

If P Ã·R + S + Q , which of the following is true?

PÃ·R+S+Q means P is the daughter of R who is the father of S who is the father of Q i.e.P is the sister of the father (S) of Q i.e. P is the aunt of Q..