Quantitative Aptitude PYQs

Amresh and Bhagwan together can do a piece of work in 20 days, Bhagwan and Chandar in 15 days, and Chandar and Amresh in 30 days. In how many days can Amresh, Bhagwan, and Chandar working together complete the work?

In an acute angled triangle XYZ, XP is an altitude drawn on side YZ. O is a point on XP such that XY = 12 cm, OY = 5 cm, and OZ = 9 cm, then find the length of XZ.

The ratio of the number of boys to the number of girls in a class is 9:7. If there are 96 students in the class, how many girls are there?

Average of five consecutive even numbers is 76. What is the largest of these numbers?

A man spends 80% of his income and saves Rs. 17000. What is his total income?

A cuboidal tank has dimensions: Length = 25 cm, Breadth = 20 cm, and Height = 16 cm. If the length is increased by 10%, the breadth is decreased by 10%, and the height is increased by 25%, then by what percentage does the volume of the tank change?

How much iron sheet (in m²) will be needed to construct a rectangular tank measuring 12 m × 9 m × 6 m, if a circular opening of radius 1.4 meters is to be left at the top of the tank?

The binary number 11001 in the decimal number system is equal to:

Which of the following is NOT a polynomial?

What is the x-intercept of the graph of the equation 5x + 11y = 17?

There is a slide in a park. One of its side walls, shaped like a triangle, is painted with a message: "RESPECT NATURE, PRESERVE GREENERY." If the sides of the wall are 13 m, 14 m, and 15 m, what is the area painted in color?

What is the ratio of surface areas of two spheres whose radii are in the ratio \( 2 : 3 \)?

For an angle measuring precisely 75 degrees, determine the numeric value of its sine multiplied by its cosine.

A circle is entirely enclosed within a parallelogram such that all four sides of the parallelogram are tangent to the circle. What specific type of parallelogram must this be ?

Match the concepts in Column I with their corresponding properties in Column II:

Two circles touch each other internally. How many common tangents can be drawn?

Given that \( (\sqrt{a} + 1/\sqrt{a})^2 = 10 \), find the value of \( a^2 + 1/a^2 \).

The mean of five consecutive even numbers is 68. Find the greatest number.

A car starts a 360 km journey with a full tank. For the first 150 km, it travels at 60 km/h. Due to fuel reduction, the speed drops by 10 km/h for the next 120 km. For the remaining journey, it further slows by 10 km/h. Estimate the average speed for the whole journey.

In a company, 65% of the employees are above 35 years of age. Among them, 80% are males and the rest are females. If there are 1560 female employees above 35 years, find the total number of employees in the company.