Latest CAT Aptitude Question SOLUTION: Find the greatest no. of 4 digit which when divided by 10,11,15 and 22 leaves 3,4,8 and 15 as remainder respt. a) 9907 b)9903 c)9893 d)None correct answer: c)

• Placement Papers
• /
• CAT
• /
• Numerical Ability
• /
• LCM and HCF

CAT Question Papers:

(#M40153125) CAT Numerical Ability question HCF and LCM Keep an EYE

Find the greatest no. of 4 digit which when divided by 10,11,15 and 22 leaves 3,4,8 and 15 as remainder respt.
a) 9907
b)9903
c)9893
d)None
correct answer: c)

Asked In CAT Debjani Sarma (8 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (7)   (11) Submit Your Solution LCM and HCF

Read Solution (4) :

tarshika biswas  (8 years ago)

Largest 4 digit no. is 9999. We see that,each (divisor - remainder) = 7. (10-3)=7,(11-4)=7,(15-8)=7,(22-15)=7. Now take lcm of 10,11,15,22..which is 330. So, lcm + common difference i.e., 330+7= 337. now by dividing 9999 by 337 we get remainder as 106, on subtracting 106 from 9999 we get 9893 which is the required largest four digit no.. Hence, option C is correct.

Is this solution Helpfull? Yes (1) | No   

komal chandra  (8 years ago)

LCM(10,11,15,22)=330
GREATEST 4 DIGIT NO=9999
DIVISIBLE BY 330 WILL BE 9900
HERE 10-3=7,11-4=7,15-8=7,22-15=7
THUS 9900-7=9893

Is this solution Helpfull? Yes (1) | No   

gulshankumar  (8 years ago)

take lcm of 10,11,15,and 22
which comes out to be 330
and 4 digit maximun number using this lcm is 9900 which is divided by all these i.e 10,11,15,and 22


n now we have to just check out the desired option
n only option c gives us the right answer.

Is this solution Helpfull? Yes | No (1)  

ankit sankhala  (5 years ago)

>At first ... take a LCM of (10,11,15,22) = 330
>Now as we know largest 4 digit number is (9999)
>so divide (9999/330) = 30 #reminder we got is 99
> now minus 99 from 9999= 9900 ( here we got highest 4 digit multiple of 330)

#2 step > take a difference of divisor - reminder as follow :-
10-3= 7
11-4= 7
15-8= 7
22-15= 7
as we see above 7 is common difference

#3 step > now minus 7 from 9900 = {9893 } is your answer.

# ( C) 9893

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.