Latest Elitmus Aptitude Question SOLUTION: If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 : 1- 18 2- 16 3- 15 4 - 12

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(#M40152743) ELITMUS Numerical Ability question Elitmus Keep an EYE

If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 :
1- 18
2- 16
3- 15
4 - 12

Asked In Elitmus Abhi (8 years ago)

Solved Bikash kumar Read Solution (10)

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Read Solution (10) :

vishal kumar  (8 years ago)

Ans is 15.
Explanation;

First of all we have to check for 4b.
Suppose b is 9.
So 4*9=36.
Hence left no. is 40-36=4
so, combination to become 4 is;
(1,3) (3,1)and (4,0).
so, nos. which are fit to eqn and divisible by 40 when b=9,are
193,391
similarly for b=8
nos. are
187,781,682,286,385,583.
for b=7
nos. are:
379,973,478,874.
for b=6
nos. are:
967,769.

and last but not the least ;490: and reverse of digit of hundred and unit place is not possible because it forms 2 digit no.

Is this solution Helpfull? Yes (39) | No (2)  

Bikash kumar  (8 years ago) Best Solution

a b c
4 9 0 *1 because if 0 comes in first it is not a three digit number
1 9 3 *2
1 8 7 *2
2 8 6 *2
3 8 5 *2
3 7 9 *2
4 7 8 *2
7 6 9 *2
15

Is this solution Helpfull? Yes (16) | No   

keshav kumar  (8 years ago)

ABC
we have to find A+4B+C=40.
so,here is the answer...........
on putting B=6,
we get 769 and 967---total is 2
on putting B=7,
we get 379,973,478 and 874---total is 4.
on putting B=8,
we get 187,781,286,682,385 and 583---total is 6.
on putting B=9,
we get 193,391 and 490---total is 3.
all possible values are 2+4+6+3=15

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meghana  (8 years ago)

9!/3!2!2!1! taking 2 N's are one unit

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sachin kumar singh  (8 years ago)

a b c
4 9 0 *2
1 9 3 *2
1 8 7 *2
2 8 6 *2
3 8 5 *2
3 7 9 *2
4 7 8 *2
7 6 9 *2

total 16

Is this solution Helpfull? Yes (1) | No (9)  

Abhi  (8 years ago)

@sachinkumarsingh
4 9 0 *1
Because the value of A can't be zero of it's zero than it will be a two digit number so thanks for your help but the answer will be 15.

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sachin kumar singh  (8 years ago)

Yeah it's 15. Sorry for the previous answer.

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NIKHIL RANAJN  (8 years ago)

ans=15, nos=193,391,490,187,781,682,286,385,583,973,379,874,478,967,769

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Abhi  (8 years ago)

Sorry that was set of value.

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Aritra Talapatra  (8 years ago)

please explain the question again I cant understandr

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