Latest Infosys Aptitude Question SOLUTION: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is: A. 1008 B. 1015 C. 1022 D. 1032

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(#M40003026) INFOSYS Numerical Ability question Keep an EYE

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A.
1008
B.
1015
C.
1022
D.
1032

Asked In Infosys jai Narayan Mishra (12 years ago)

Solved madhuri Read Solution (10)

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Read Solution (10) :

madhuri  (12 years ago) Best Solution

to obtain the result,
first we have to calculate the Least Common Multiple (L.C.M) of given numbers 12, 16, 18, 21...
The L.C.M. = 1008
Required number = L.C.M + 7
= 1008 + 7
= 1015

Is this solution Helpfull? Yes (12) | No (2)  

Mohit tripathi  (12 years ago)

b.)1015 as it is divisible by every no..

Is this solution Helpfull? Yes (11) | No (1)  

Ruchi  (12 years ago)

L.C.M of 12,16,18,21,28 is 1008
and it is also divisible by 7

Is this solution Helpfull? Yes (7) | No (4)  

Ishita Dhawan  (12 years ago)

the answer vl be 1015 as...
for finding the least num v hv 2 consider the LCM of 12 16 18 21 and 28 and dat is 1008 bt v hv 2 select a num vich has 2 be diminished by 7 also so v take 1008+7=1015

Is this solution Helpfull? Yes (3) | No   

Maheshkumar Eaga  (12 years ago)

1008 is divisible by all the numbers

Is this solution Helpfull? Yes (2) | No (1)  

pukit  (12 years ago)

go through the negetive approch.
all the numbers except 1015 is subtrct by 7 then an odd number come that is not divisible by 12,16,18,21 and 28. but when 1015 subtract by 7 then 1008 comes which is divisble by all numbers
so ans is 1015.

Is this solution Helpfull? Yes (2) | No (1)  

dinesh  (12 years ago)

ans.1008
because it is divisible by 7 and moreover the number divisible by 12, 16, 18, 21 28 should be firstly divisible by 2,3,7.....and 1008 is the only no which is divisible by 2,3,7

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

Debashis Dey  (12 years ago)

the correct ans is 1015...option b. when it is diminished by 7 it becomes 1008, which is divisible by 12,16,18,21 and 28 and gives 84,63,56,48 and 36 respectively.

Is this solution Helpfull? Yes (1) | No   

koteswarareddy  (12 years ago)

the answer is 1015

Is this solution Helpfull? Yes | No   

Sanjana Patnaik  (12 years ago)

From the options it is clear that the answer is 1015(find the LCM of the given No. add 7 to it)
But actually 7 is the smallest no. which when diminished by 7 is divisible by the given No.when 7 is diminished by 7, the result is zero and this is divisible by the given Nos.

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