If m is a three-digit positive integer, what is the value of m?

Question

(1) The sum of the digits of m is n and n + 1 = 10
(2) m is divisible by 100.

rudra316 · Answer

Let the number m be abc,

(1) a+b+c = 9

Not sufficient to find values of a, b & c

(2) The number is of the form a00
Not sufficient.

(1) & (2)
a+0+0 = 9
a = 9
Number m is 900

Option C

Vinayak Shenoy · Answer

IMO C
Let m=abc

From statement 1
a+b+c=n and n+1=10
which means n=a+b+c=9
can have many combinations hence insufficient

From statement 2
m is divisible by 100
therefore m is of the form 100*k where k is an integer {1, 2, 3, 4, 5, 6, 7, 8, 9}
m can be 100, 200, 300, 400, 500, 600, 700, 800, 900
hence insufficient

combining we have m=900
hence C

mvictor · Answer

Look at statement 2 alone...
m is divisible by 100..
m can be 100, 200, 300, 400..etc.
alone not sufficient. B and D are out.

statement 1:
sum of digits of m is n. n+1 =10.
n = 9. 
we can have 441 or 144.
alone not sufficient. A is out.

A+B
m=900.

herbgatherer · Answer

m = ABC
 (1) The sum of the digits of m is n and n + 1 = 10 
Thus n = A+B+C = 9. ABC can be 333, 720, 900... Not sufficient. Eliminate options A & D.

(2) m is divisible by 100.  
Thus ABC can be 100, 200, 300....900. Not sufficient. Eliminate B.

(1) + (2) implies ABC = 900. Sufficient.

Thus, option (C)

deenesh2309 · Answer

Option C

A)
If Sum of three integer (3 digits of m) is n and n+1 = 10 ie n= 9. So there are many possibilities like 135, 153, etc
B) m is divisible by 100 ie can be 100, 200 ...upto 900. Still not possible to get m

A+B) Only option is 900 So answer is C

bazu · Answer

But id doesn't say that m is a positive integer, couldn't it be -900? IMHO is E

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If m is a three-digit positive integer, what is the value of m?

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If m is a three-digit positive integer, what is the value of m?

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