Find a five digit number which has no zeros nor ones in it and no digit is repeated,where:

The fourth digit is a quarter of thee total of all the digits, Second digit is twice the first digit,Third digit is the largest and last digit is the sum of the first two digits

Remember the figure must not contain any ones or zeros.

To train starting at the same time from two station to 50 km apart and going in opposite directions cross each other at a distance of 170 km from one to two of the station. What is the ratio of their speeds?

In same time to cover 170 km at a kilometre respectively.

For the same time speed and distance is inversely proportional.

Suresh of the speed=17:80=17:8

.
the ages of two person differ by 12 years. 6 years ago the elder one was 3 years as old as younger one. What is the present age of elder person ?

Let age of elder person=x

Age of younger person =x-12

(x-6)=3(x-12-6)

(x-6)=3x-54

-6+54=3x-x

48=2x

x=48/2

24

.
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.

.
The sum of Tony and Teddy age is thrice their mother age . Tony is two years younger than Teddy if the age of mother is 42 . Find the difference between mother and younger son.

Teddy=x elder son

Tony=x-2 younger sonGiven condition

3(Tony+Teddy)=Mother

3(x-2+x)=42

6x-6=42

6x=48

X=8

Tony = 6

Teddy=8

.
There are 6 persons A B C D E and F. C is the sister of F.B is the brother of E' husband. D is the father of A and grandfather of F . There are two fathers three brothers and a mother in the group. Who is E' husband?

D is father of A and grandfather of F. So, A is father of F. Thus, D andbA are the two fathers. C is the sister of F. So, C is the daughter of A . Since there is only one mother, it is evident that E is the wife of A and hence the mother of C and C and F. So, B is brother of A. There are three brothers. So, F is the brother of C. Clearly, A is E's husband..