# The integer ‘a’ is directly proportional to the integer ‘b’ and a/b = 7. Find out the value of integer variable ‘b’, for the value of the integer variable a =1.5.

I have a problem on GMAT, My questions is –

The integer ‘a’ is directly proportional to the integer ‘b’ and a/b = 7. Find out the value of integer variable ‘b’, for the value of the integer variable a =1.5.

a. 1.5

b. 0.7

c. 7.0

d. 10.5

e. 0.21

Please help me by salving this GMAT Questions.

Thanks.

**Correct answer: e**

**Details Explanation:**

If two quantities are directly proportional to each other, indicates that they always have

the same quotient.

Now, according to this property and according to the data given in the question, as ‘a’ is

directly proportional to the integer ‘b’ and a/b = 7 (—–i); then they both will always

have the same quotient irrespective of the values of both ‘a’ and ‘b’.

Hence, substituting the value of ‘b’ in (i), we get,

1.5/b = 7

∴ b = 1.5/7

∴ b = 0.21

**Hence, the correct answer is option e.**

**Thanks. Ask more questions if you have.**