Question 1 :
What least number is to be subtracted from each term of the ratio $15:19$ to make the ratio $3:4$?

Question 2 :
Rs.$120$ are divided among A,B,C such that A" share is Rs.$20$ more than B"s and Rs.$20$ less than C"s. What is B"s share?

Question 3 :
Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing one ounce can cover up to $7$ football fields. If a football field has an area of approximately $1\dfrac {1}{3}$acres, about how many acres could 48 ounces of graphene cover?

Question 4 :
If $A$ and $B$ are in the ratio $4 : 5$ and the difference of their squares is $81$, what us the value of $B$ ?

Question 5 :
Assume that neither&#160;<span class="MathJax_Preview"><span class="MathJax"><span class="math"><span class="mrow"><span class="mi">x<span class="MJX_Assistive_MathML">x&#160;nor&#160;<span class="MathJax_Preview"><span class="MathJax"><span class="math"><span class="mrow"><span class="mi">y<span class="MJX_Assistive_MathML">y&#160;is equal to 0, to permit division by&#160;<span class="MathJax_Preview"><span class="MathJax"><span class="math"><span class="mrow"><span class="mi">x<span class="MJX_Assistive_MathML">x&#160;and by&#160;<span class="MathJax_Preview"><span class="MathJax"><span class="math"><span class="mrow"><span class="mi">y<span class="MJX_Assistive_MathML">y.<br/>What is the ratio x : y : z ?<br/>(1) x+ y = 2z<br/>(2) 2x+ 3y = z

Question 6 :
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and&#160;a + b + c = 14, then&#160;find the value of c.

Question 8 :
A sum of Rs. 9,000 is to be distributed among A, B and C in the ratio of 4 : 5 : 6. What will be the difference between As and Cs shares?

Question 9 :
The ratio of the number of ladies to that of gents at a party was $3 : 2.$ When $20$ more gents joined the party, the ratio was reversed. The number of ladies present at the party was

Question 10 :
If $3$ pieces of table cloth cost $Rs.\,112.50$, then the number of pieces of table cloth available for $Rs.\,487.50$ is

Question 11 :
Zinc and copper are in the ratio of 5 : 3 in 200 gm of alloy. How much grams of copper be added to make the ratio as 3 : 5 ?

Question 14 :
Zinc and copper are in the ratio of $5\,\colon\,3$ in $200\:$ gm of an alloy. How much grams of copper must be added to make the ratio $3\,\colon\,5$?