CAT QUANT PERCENTAGE 3

A solid cube made of steel is melted and recast such that its length, breadth and height changes as $+10 \%,+10 \%,-20 \%$. What is the percentage change in surface area of this cube?

Tensile strength of a material $A$ is a multiple of amount of materials $a, b$, $c$, $d$ used. If the amount of material of $a, b, c, d$ are changed by $+30 \%,-$ $30 \%,-25 \%,+25 \%$ respectively, what will be the overall change in tensile strength of $A$ ?

In a practice paper at Testwale.com, questions were given from 5 topics. Out of the appearing students, $10 \%$ passed in all topics while $10 \%$ did not pass in any. Of the remaining, $20 \%$ passed in one topic only and $25 \%$ in two topics only. If $24 \%$ of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?

A bucket has 'a' number of small and large balls out of which b\% are black. Of the small balls, $\mathrm{c} \%$ are black and of large balls, $\mathrm{d} \%$ are black. Find the number of small balls in the bucket.

$A$ is $x \%$ more than $B$. $B$ is $y \%$ less than $C$. If $A, B$ and $C$ are positive and $A$ is greater than $C$, find the relation between $x$ and $y$.

In a local election, 2400 people were to vote for Party A or Party B. Party A was bound to win the election. However, on Election Day, one-third of the voters of Party A were kidnapped. Party B was also able to influence the remaining Party A voters and thus double the strength of its voters. In this way, Party A lost by a majority which was half of that by which it would have won had the elections been fair. How many people finally voted for Party A and Party B?

In an examination, $35 \%$ of students failed in quants and $42 \%$ of students failed in verbal while $14 \%$ failed in both the topics. If 222 students passed in both the topics, how many students appeared to write the examination?

A two digit number ab is $60 \%$ of $x$. The two-digit number formed by reversing the digits of ab is $60 \%$ more than $x$. Find $x$.

According to a survey conducted at the local law school, it was found that the students in the law school either like cappuccino or tea but not the both. $30 \%$ of the students are males who like cappuccino while $25 \%$ of the students are females who like tea. If the ratio of males to females in the school is $3: 2$, what \% of the female students likes cappuccino?