Quantitative Aptitude PYQs

Which of the following numbers is NOT a perfect square? 

In a circle of radius 10 cm, a chord of length 16 cm is drawn. Find the distance from the center of the circle to the chord.

A box contains red and black marbles in the ratio 3 : 5. If there are 40 more black marbles than red, how many marbles are there in total?

A trapezium has height 10 cm and area 180 cm², If one parallel side is 12 cm, what is the other side?

A rectangle of side 8 cm x 6 cm and a rhombus (side = 8cm, acute angle 60°) are joined along one 8 cm side. What's the ratio of their areas (rectangle : rhombus)?

A regular polygon has interior angle 160°. How many sides does it have?

If the square root of a number is subtracted from the number, the result is 272. What is the number? 

A vendor mixes two rice types costing Rs. 30/kg and Rs. 50/kg in the ratio 3 : 2, but he mistakenly sells it at a loss of 10%. What is the selling price per kg?

An art dealer sells a painting for Rs. 6,600, making a profit of 10% after paying Rs. 600 in restoration charges. What was the original purchase price?

A mobile phone was sold for Rs. 12,600 after allowing a 10% discount on the marked price. If the profit was 20%, what was the cost price?

A trader purchases 100 smartphones at Rs. 12,000 each. He spends Rs. 30,000 on transportation and Rs. 20,000 on advertising. 10 phones are damaged in transit and sold at 50% loss. The remaining are sold at a 25% profit. What is his net profit or loss? 

Simplify:\(\sqrt8\times \sqrt{32}\)

The volume of a prism is 960 cm³. If its base area is 80 cm³, by what percentage should the height be increased to make the volume 1200 cm³?

A container holds 120 litres of a solution containing milk and water in the ratio 3 : 2. If 24 litres of this solution are taken out and replaced with pure milk, what will be the new ratio of milk to water?

The lines 2x - 3y = 6 and kx + y = 4 are perpendicular. What is the value of k?

If the equation of a line is 2x + 3y = 6, what is the slope of the line? 

if one angle is twice the other and they are complementary, find the angles

If an angle is 10° more than twice its complement, what is the angle?

If an angle is 3 times its complement, what is the angle? 

If the radius of a right circular cylinder is increased by 10 percent while its height remains constant, what is the percentage increase in its volume?