is intended to be a spot where any student preparing for GRE can discuss study topics,find or provide tips & works towards a top score along with other students working for the same goal.Answer"GRE WORD OF THE DAY",
"GRE SENTENCE COMPLETION OF THE DAY",
"GRE ANALOGY OF THE DAY",
"GRE ANTONYM OF THE DAY",
"GRE MATH PROBLEM OF THE DAY",
"GRE ALGEBRA QUESTION OF THE DAY",
"GRE GEOMETRY QUESTION OF THE DAY"&
"GRE PASSAGE OF THE WEEK".
To get a top score,the first step of the ladder starts from here.
Sunday, April 15, 2007
"ALGEBRA QUESTION OF THE DAY"
Which one of the following could be the difference between two numbers both of which are divisible by 2, 3 and 4? (A) 71 (B) 72 (C) 73 (D) 74 (E) 75
B any number divisible by 4 is divisible by 2 as well.. the LCM of 4 and 3 is 12.So the numbers will be a multiple of 12. let the numbers be 12m and 12n so 12(m-n) is the possible difference. m-n has to be an integer as well. only 72 (option b) satisfies the criteria. Hence B is the answer
CORRECT ANSWER IS A number divisible by all three numbers 2, 3, and 4 is also divisible by 12. Hence, each number can be written as a multiple of 12. Let the first number be represented as 12a and the second number as 12b. Assuming a > b, the difference between the two numbers is 12a – 12b = 12(a – b). Observe that this number is also a multiple of 12. Hence, the answer must also be divisible by 12. Since 72 is the only answer-choice divisible by 12, the answer is (B).
ans : B
ReplyDeleteexplain ..
ReplyDeleteB
ReplyDeleteany number divisible by 4 is divisible by 2 as well..
the LCM of 4 and 3 is 12.So the numbers will be a multiple of 12.
let the numbers be 12m and 12n
so 12(m-n) is the possible difference.
m-n has to be an integer as well.
only 72 (option b) satisfies the criteria.
Hence B is the answer
Right saying Abhishek.
ReplyDeleteB)
B
ReplyDeleteCORRECT ANSWER IS
ReplyDeleteA number divisible by all three numbers 2, 3, and 4 is also divisible by 12. Hence, each number can
be written as a multiple of 12. Let the first number be represented as 12a and the second number as 12b.
Assuming a > b, the difference between the two numbers is 12a – 12b = 12(a – b). Observe that this
number is also a multiple of 12. Hence, the answer must also be divisible by 12. Since 72 is the only
answer-choice divisible by 12, the answer is (B).