Mathematics - MOST IMPORTANT SSC CGL Previous Year Questions

In an election between R and S, R gets $\displaystyle 110\%$ of the votes of S and beats S by $\displaystyle 770$ votes. If there were no invalid votes, then the total number of votes polled is:

In an election, $\displaystyle 80\%$ of eligible voters cast their votes. Of these votes, $\displaystyle 5\%$ were declared invalid. If a winning candidate received $\displaystyle 11,400$ votes, which accounted for $\displaystyle 60\%$ of the total valid votes, what was the total number of eligible voters enrolled in that election?

In a constituency, $\displaystyle 85\%$ of the total number of people on the electoral roll cast their votes during an election. $\displaystyle 10\%$ of the votes cast were declared invalid. If there were $\displaystyle 3,00,000$ people on the electoral roll, and Dharam secured $\displaystyle 1,37,700$ valid votes, then what percentage of the total number of valid votes did Dharam secure?

In an election, $\displaystyle 8\%$ of the voter did not cast their votes. Two candidates contested the election in which the winning candidate got $\displaystyle 48\%$ of the total votes and won election by $\displaystyle 1100$ votes. Find the total number of voter in the election, given that all the votes cast were valid?

In an election between two
candidates, 80% of the voters cast their votes, out of which 4% votes were
declared invalid. A candidate got 15,360 votes which were 80% of the valid
votes. Find the total number of votes.

Raju, Ravi and Ashok contested an election. 5% votes polled
were invalid. Raju got 30% of the total votes. Ravi got 32% of the total
votes. The winner got 5136 more votes than the person who received the least
number of votes. Find the total number of votes polled.

Three
candidates X, Y and Z participated in an election. X got 30% more votes than
Y, whereas Z got 25% more votes than Y. X also overtook Z by 5000 votes. If
71% of the voters voted and no invalid votes were cast, then what was the
total number of voters in the voting list?

Hari, Kamal and Lalit contested an election in which 6050
votes were polled and none of the votes were invalid. Kamal got 42% more votes
than the total votes obtained by Hari and Lalit together. If Lalit obtained only
8% of the total polled votes, find the number of votes obtained by Hari.

Two candidates P and Q contested in an election. 70% of
the registered voter are P supporters if 60% of the P supporters and 30% of
the Q supporters are expected to vote for candidate P, then what percentage of
the registered voter are expected to vote for candidate P?

Out of the total toffees, $\displaystyle \dfrac{1}{10}$ are wasted. 35%
of the rest are given to S and $\displaystyle \dfrac{1}{8}$ of the total are given to N. If the
toffees with N are 10 more than the wasted toffees, then how many toffees were
given to S?

Mrudula
starts her job with a certain monthly salary and earns a fixed increment every
year. If her salary was ₹28,400 after six years of service and ₹52,997 after
fifteen years, find her annual increment.

The price of an item is increased twice successively. The
final price is ₹2,295 and initial price was ₹1,000. The percentage increment the
second time was twice the percentage increment the first time. By what
percentage was the price increased the second time?

A fruit seller sells 45% of the oranges that he has along
with one more orange to a customer. He then sells 20% of the remaining oranges
and 2 more oranges to a second customer. He then sells 90% of the now
remaining oranges to a third customer and is still left with 5 oranges. How many
oranges did the fruit seller have initially?

Shiva's monthly salary is ₹75,000. He spends
₹12,000 on household items, ₹14,000 on LIC and mutual funds, ₹15,000 on his
children's education, and keeps ₹10,000 for miscellaneous expenses. His savings
are ₹21,000 per month and he donates the rest of the amount to an orphanage. The
percentage of his income that he donates is:

A man spends 30% of his
salary on rent, 20% on groceries, and 25% on other expenses. If he saves
₹9,000, what is his salary?

Some students (only boys and girls) from
different schools appeared for an Olympiad exam. 20% of the boys and 15% of
the girls failed the exam. The number of boys who passed the exam was 70 more
than that of the girls who passed the exam. A total of 90 students failed. Find
the number of students that appeared for the exam.

Three persons A, B and C donate
10%, 7% and 9% respectively of their monthly salaries to a charitable
trust. Monthly salaries of A and B are equal and the difference between the
donations of A and B is ₹900. If the total donation by A and B is ₹600 more than
that of C, then what is the monthly salary (in ₹) of C?

During a division,
Pranjal mistakenly took as the dividend a number that was 10% more than the
original dividend. He also mistakenly took as the divisor a number that was
25% more than the original divisor. If the correct quotient of the original
division problem was 25 and the remainder was 0, what was the quotient that
Pranjal obtained, assuming his calculations had no error?

The monthly salary of a person was ₹$\displaystyle 1,60,000$. He used to spend on three heads — Personal and family expenses (P), Taxes (T) and Education loan (E). The rest were his savings. P was $\displaystyle 50\%$ of the income, E was $\displaystyle 20\%$ of P, and T was $\displaystyle 15\%$ of E. When his salary got raised by $\displaystyle 30\%$, he maintained the percentage level of P, but E became $\displaystyle 30\%$ of P and T became $\displaystyle 20\%$ of E. The sum of the two savings (in ₹) is:

Every month, a man consumes $\displaystyle 20\text{ kg}$ of rice and $\displaystyle 8\text{ kg}$ of wheat. The price of rice is $\displaystyle 20\%$ of the price of wheat, resulting in a total expenditure of ₹$\displaystyle 300$ per month for rice and wheat combined. If the price of wheat is increased by $\displaystyle 20\%$, what percentage reduction in rice consumption is needed to maintain the same expenditure of ₹$\displaystyle 300$? (Given that price of rice and consumption of wheat is constant.)