GMAT
Exam
A number, K, is a positive integer with the special property that 3 times its unit is equal to 2 times
its 10 digit. How many such numbers exist between 10 & 99?
(A) 2
(B) 3
(C) 4
(D) 5
Read Solution (Total 6)
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- b.3 nos are 32,64,96
- 14 years agoHelpfull: Yes(1) No(0)
- let the number be 10x+y=k
by the question 2x=3y
so,k=16y=a number divisible by 16 between 10 & 99 and 2/3 of y must be an integer since x is an integer...so, k=32,64,96
number of such no.s is 3
thank you..
thank - 14 years agoHelpfull: Yes(1) No(0)
- (B) 3
- 14 years agoHelpfull: Yes(0) No(0)
- 32, 64, 96 are the numbers. The answer is 3
- 14 years agoHelpfull: Yes(0) No(0)
- let 'k' be a no. = 10x+y...
so, 3y=2x
so, no, =10x+y=15y+y=16y..now y has to be even such that x is an integer
so y can attain 3 values=2,4,6
so the nos. are 32,64,96...ans is (B)3 - 14 years agoHelpfull: Yes(0) No(1)
- A 2
- 14 years agoHelpfull: Yes(0) No(0)
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