Hi manishtank1988,
From the answer choices, we know that there cannot be that many ways to get a total of $10.00 when adding a multiple of $0.19 and a multiple of $0.25....
A multiple of $0.25 will always end in one of the following.... .00, .25, .50 or .75... so we really just need to determine in how many ways the $0.19 ends in a 'compliment' (re: .75, .50, .25 or .00) to that number so that the total = $10.00.
To end in a 0 or a 5, we need to multiply $0.19 by a multiple of 5)....
($0.19)(0) = $0... so the 'complement' would be ($0.25)(40). This IS an option.
($0.19)(5) = $0.95... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
($0.19)(10) = $1.90... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
($0.19)(15) = $2.85... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
At this point, you should notice that we're just adding $0.95 to the prior sum, so doing lots of multiplication is NOT necessary....
$3.80... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
$4.75... so the 'complement' would be ($0.25)(21). This IS an option.
$5.70... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
$6.65... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
$7.60... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
$8.55... but we can't get a 'complement' from a multiple of $0.25 to total $10. This is NOT an option.
$9.50... so the 'complement' would be ($0.25)(2). This IS an option.
Total options = 3
Final Answer:
GMAT assassins aren't born, they're made,
Rich