Latest CSC Aptitude Question SOLUTION: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: A. 9000 B. 9400 C. 9600 D. 9800

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The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000
B. 9400
C. 9600
D. 9800

Asked In CSC (12 years ago)

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Dr.Dipin Singh  (12 years ago)

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is 9600..... option C

LCM of 15, 25, 40 and 75 is 600.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is 9600.

Is this solution Helpfull? Yes (16) | No (5)  

kiran kumar Bathula  (11 years ago)

Option C

Explanation:

Greatest number of 4-digits is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, the remainder is 399.

Required number (9999 - 399) = 9600.

Is this solution Helpfull? Yes (14) | No (2)  

sravani  (9 years ago)

l.c.m of 15,25,40,75 is 3000
multiple of 3000 is 9000 so,9000 is the answer...

Is this solution Helpfull? Yes (1) | No (3)  

CooL ZiT   (9 years ago)

15,25,40 and 75 divisible by 5,3,4
- A number is divisible by 3, if the sum of its digits is divisible by 3.
- the number formed by the last two digits is divisible by 4.
-its unit's digit is either 0 or 5.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is 9600.

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