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OnMobile Asia Placement Question Paper

1. There are 10 marbles each of 5 diff colors. what is the min. num of marbles to be taken out so that at least 3 marbles are of same color?

2. You need 2 kill a dragon with 3 heads & 3 tails. You have a magic sword that can cut 1 head, 2 heads, 1 tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails r cut -> 1 head grows
if 2 heads are chopped -> nothing grows. What dragon is min. num of swings 2 be made?

3. Slow train runs b/w Blore & Mumbai, up as well as down. It starts at 10:00pm everyday & reaches destination by 11:30pm after 3 days. If u travel by Slow train, how many such trains will u encounter during journey?

4. A num of birds, black & white, r sitting on thhe tele wire. There is at least 1 bir of each color, also whenevr 2 birds are seperated by 4 or 7 other boirds of any color, both birds r of same color. Wot is the max. num of birds dat can b seated in this fashion?

5. 5 ppl, A, B, C, D, E are supposed 2 cover a certain distance from their car to a house. There is only 1 umbrela dat can b shared by 2 ppl at a time.
It takes 1min for A 2 cover the dist, B->2 min, C->5min, D->10min, E->15min.
Wot is d quickest poss time 4 the entire grp 2 get into the house?

6. Mr.X belongs 2 a grp of 8 ppl including himself. In d meeting, nobody shakes hands with the same person more than once but everyone shakes hands with at least 1 person.
After the meeting is over, Mr.X realizes dat all the other ppl in the party had shook a diff num of hands. How many hands did Mr.X shake?

7. In a contest 3 probs, A, B, C r given
->25 ppl of the total num of them solved at least 1 prob each.
->Of all the contestants who did not solve A, the num who solved B was twice the num who solved C.
->num of ppl who solved only A was 1 more than num who solved A & atleast 1 other prob.
->Of all stud who solved just 1 prob, half didn’t solve A

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