Quantitative Aptitude PYQs

The given pie-chart represents the survey report on favourite games of a group of young people.

If a total of 4980 people were surveyed, then what is the central angle produced by the sector indicating football?

At 7 : 30 P.M. the owner of a Cycle noticed that a thief is taking away his cycle from his home and is cycling in a particular direction at an estimated speed of 10 km per hour. He informed the police about the theft and the policeman started from the same point, half an hour later than the time of the theft but with a speed of 12 km per hour. At what time will Policeman catch the thief?

In a ∆ABC, the bisectors of angle ABC and angle ACB intersect each other at point O. If the angle BOC is 125°, then the angle BAC is equal to:

Three numbers are in the ratio of 5 ∶ 7 ∶ 9 and their LCM is 34,650. Their HCF is:

If 2 men or 4 women can build a wall in 34 days, in how many days can 6 men and 5 women build the same wall?

The pie chart below shows the spendings of a state on various sports during a particular year:

If the total amount spent on sports during the year was Rs. 75,00,000 then how much (in ₹) was spent on cricket and hockey together?

The sides of a rectangle are in the ratio of 3 ∶ 8 and its area is 1944 cm². What is its perimeter?

The height and the radius of the base of a right circular cone are in the ratio of 12 ∶ 5. If its volume is 314 cm³, then what is the slant height of the cone? (Use π = 3.14)

Study the given graph and answer the question that follows.

The graph shows data related to number of students enrolled for a vocational course in two institutes (X and Y) during three years.

What is the difference between the average number of students enrolled in institute X in 2010 and 2011 and that in institute Y in 2011 and 2012?

A shopkeeper increases the cost price of an item by 50% and offers a discount of 40% on this marked price. What is his loss percentage?

If cos A = \(\frac{1}{2}\), 0 ≤  A ≤ 90°, then what is the value of sin (180 - A)?

In an election between two candidates, 20% of the voters on the voters list did not cast their votes and 80 voters cast their ballot papers blank. The winner secured 45% of all the voters in the list and he got 280 votes more than his rival. The number of voters on the list was: 

The average weight of 8 students is 48 kg. If four students of average weight 44 kg and four students of average weight 58 kg is also added, then find the average weight of 16 students. 

If a + b + c = 5 and ab + bc + ca = 7, then the value of a³ + b³ + c³ - 3abc is:

Find the least number which is exactly divisible by 20, 28, 34, 60 and 75. 

If sin A = \(\frac{\sqrt{3}}{2}\), 0 < A < 90°, then find the value of 2(cosec A + cot A).

In a circle, chords AB and CD intersect internally at E. If CD = 18 cm, DE = 5cm, AE = 13 cm, then the length of BE is:

Study the given table and answer the question that follows.

The table shows data of population and literacy / illiteracy rate among the population in three different villages.

The number of illiterates in village R is what percentage less than that in village P?

A can do \(\frac{1}{5}\) of a piece of work in 20 days, B can do 30% of the same work in 36 days, while C can do 80% of the same work in 160 days. B and C together started and worked for x days. After x days B left the work, and A joined C and both completed the remaining work in (x - 41) days. If the ratio between the work done by (B + C) together to the work done by (A + C) together is 19 ∶ 6, then what fraction of the same work can be completed by C alone in 2x days?

If the radius of two circles be 6 cm and 9 cm and the length of the transverse common tangent be 20 cm, then find the distance between the two centres.