TCS Company Numerical Ability Permutation and Combination

By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

Read Solution (Total 3)

answer is 5^4 = 625
12 years agoHelpfull: Yes(7) No(15)

step 1->the no divisible by only if it divisible by last 2 digit of no
step 2->there for in this example that last 2 digit no are 12,24,32,44,52 ie total 5
step 3-> - - - 1 2, - - - 24,same take other.....
step 4--> use combination formula ncr=n!/r!(n-r)!
step 5-->3 place remaining & available no 5 ie n=5
step 6-->5c1 * 5c1 * 5c1=125
step 7--->125*5=625
11 years agoHelpfull: Yes(4) No(1)
units place can be filled by 2 ,4 as no. is to b divisible by 4
since repitition of digits is allowed,
hence no of ways to form 5 digit no. are 2*5*5*5*5 = 1250
12 years agoHelpfull: Yes(1) No(22)

TCS Other Question

How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
a)5^7 b)5^6 c)5^9 d)5^8
7. The Barnes Foundation in Philadelphia has one of the most extra-ordinary and idiosyncratic collections in French impressionist art. Dr. Barnes who put together this collection has insisted that the paintings be hung in a particular manner specified by him at a museum designed by the French architect Paul Philippe Cret who also designed the Rodin Museum. The museum has, say, seven galleries – Eugene Boudin, Cassatt, Boudin, Forain, Gonzales, Manet and Monet. Visitors reach the main Eugene Boudin by an elevator, and they can enter and leave the exhibition only through Eugene Boudin gallery. Once inside, visitors are free to move as they choose. The following list includes all of the doorways that connect the seven galleries: There is a doorway between Eugene Boudin and Cassatt, a doorway between Eugene BoudinandBoudin, and a doorway between Eugene Boudin and Gonzales galleries. There is a doorway between Cassatt and Boudin galleries. There is a doorway between Gonzales and Forain and a doorway between Gonzales and Manet galleries. There is a doorway between Manet and Monet galleries. Which of the following rooms CANNOT be the third gallery that any visitor enters ?

Monet
Boudin
Forain
Cassatt