Quantitative Aptitude PYQs

A can complete 1/2 of a piece of work in 4 days. B takes 4 days more than A to finish the same work. A and C together started the work, and after working for 2 days, they left. The remaining work was then completed by B alone in 3 days. Find the time taken by C alone to complete the entire work.

A container has X litres of a mixture containing 40% water and the rest milk. From this mixture, 20 litres are removed and replaced with X/2 litres of pure milk. After this operation, the ratio of milk to water in the mixture becomes 43 : 12. What is the value of X?

A boat takes 4 hours longer to cover a distance of d km downstream than it takes to cover (d-116) km upstream. The ratio of the speed of the boat in still water to the speed of the stream is 9 : 2. If the boat takes 8 hours to travel 176 km downstream, find the time taken by the boat to cover (d – 60) km upstream.

A total amount of Rs. X is distributed among five friends — P, Q, R, S, and T. The combined amount received by P and Q is Rs. 500 more than what R receives. Together, R and S receive Rs. 1,600 more than T. S receives Rs. 600 more than T. The ratio of the amounts received by R and T is 5 : 3. Find the total amount X.

What approximate value should come in place of x in the following question?

\(24\frac{2}{3}\) % of (4.99³ + 4.97²) × 909.98 ÷ 12.91 + (13.97)² = x

What approximate value should come in place of the question mark (?) in the following question?

(√360.91 – ∛26.77) ÷ (1023.24)^1/5 × 14.97 + (23.07)² = ?

What approximate value should come in place of x  in the following question?

\(11\frac{1}{9}%\) of (29.99)² + (7.979)² ÷ (511.98)^1/3 = -(x)² + (11.979)²

What approximate value should come in place of the question mark (?) in the following question?

152.99 ÷ √288.97 + 8.99 × (28.02)² ÷ √195.94 = ?

What approximate value should come in place of x in the following question?

(234.567 + 206.433)^1/2 ÷ 6.99 = x% of 229.99 – 19.998

In village C (2013), 420 people did not cast their votes. The total population of the village increased by 25% from 2013 to 2018. In 2018, the ratio of males to females in the total population was 5 : 6. If 40% of the males voted and 10% of the total votes were declared invalid, out of which 60% were male votes, find the difference between the number of valid female votes and invalid female votes in village C in 2018.

In village B (2018), elections were contested between two parties — X and Y. The ratio of invalid votes cast in 2013 and 2018 in village B was 4 : 5, and in 2013, the valid votes were 2/3 of the total votes cast. In 2018, Party X won by a margin of 55 votes. Find the number of votes received by Party Y in 2018.

In village A (2013), 30% of the total population cast their votes, of which 20% were invalid. In 2018, the number of valid votes was 133.33% more than the invalid votes cast in 2013. The invalid votes in 2018 were 50% of the total population in that year. Find how much the number of people in village A who did not vote in 2018 decreased compared to 2013.

In village D (in 2018), the valid votes were three times the invalid votes. The valid votes were distributed among three parties — P, Q, and R. Party R won by securing 60% of the valid votes, while P and Q received an equal number of votes, resulting in a tie. A re-election was conducted between P and Q, where only the previously invalid voters were allowed to vote again — and this time, all votes were valid. If Party P finally received 138 votes in total, find the number of votes that Q received in the re-election.

In another village E, the total votes cast in 2018 were twice the number of votes cast in village D in 2013.The number of valid votes in village E in 2018 was equal to the average of the votes cast in villages B and C together in 2018. Find the ratio between the invalid votes cast in village E in 2018 and the total votes cast in village B in 2013.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

l. 2x² – 19x + 44 = 0

ll. 5y² – 31y + 44 = 0

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² - x - 156 = 0

II. 13y² - 93y + 14 = 0

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. 15x² –  30x – 225 = 0

II. 12y² +  96y + 180 = 0

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

i. 3x2 + 2x – 85 = 0

ii. 3y2 + 10y – 57 = 0

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 61x + 510 = 0

II. y² + 87y + 770 = 0

Average number of girls in school A and school B is 110. The total number of boys in both the school is 6 times the average number of girls. The number of girls in both the school is (1/3)^rd of the number of boys in the respective school. The number of boys in school B is 360. Find the percentage of the number of girls in school A to the number of girls in school B.