Quantitative Aptitude PYQs

If 4^{(x + 2)} + 7 = 1031 then find the value of x.

If a + b = 7, is the value of a³ + b³ + 21ab = ?

The base of a right prism is a regular hexagon with side length 6 cm. The height of the prism is \(\frac{1}{\sqrt3}\) cm. Find the volume of the prism.

What is the lateral surface area of a square pyramid with base side 10 cm and slant height 6 cm? 

Solve : \(\frac{2}{5}+0.75^{2}\)

Ajar is \(\frac{3}{5}\) full with a solution. After adding 3.2 liters, it becomes \(\frac{7}{8}\) full. What is the total capacity of the jar?

A, B, and C started a business investing Rs. 50,000, Rs. 70,000, and Rs. 90,000, respectively. After 6 months, C withdrew half of his capital. At the end of the year, what is the ratio of their profits?

The area of a circle is 121π cm². What is its radius?

Each interior angle of a regular polygon exceeds its exterior angle by 150°. Determine the number of sides of the polygon.

A sector of a circle with radius 14 cm has a central angle of 135. Find the area of the sector. 

A man spends 80% of his income. His income has increased by 25%, but his expenditure remains the same. By what percent have his savings increased?

A reduction of 20% in the price of sugar enables a person to buy 5 kg more for Rs. 200. What is the original price per kg?

In a town, 20% of the population migrated to another city. Later, 25% of the remaining population left due to lack of jobs. If the final population is 48,000, what was the original population ?

A circle has a radius of 15 cm. If a chord 24 cm long is drawn, what is the perpendicular distance from the center of the circle to the chord?

In a bag, red, blue, and green balls are in the ratio 3 ∶ 4 ∶ 5. If there are 48 balls in total, how many are green ? 

Which pair of numbers has a sum of 13 and whose squares differ by 65? 

A rhombus has all sides equal to 10 cm and one diagonal is 12 cm. What is the other diagonal? 

If a regular triangle and a regular square have the same perimeter, which has the longer side?

A rope is laid out to form a square enclosure. If 20 meters of rope remain unused after enclosing the square, and the area of the square is 100 m², what was the original length of the rope?

A recipe needs ingredients A, B, and C in the ratio 5 ∶ 3 ∶ 2. If the chef only has 400 grams of ingredient A, what is the total amount of the mixture he can make, maintaining the ratio ?