Find the length of BC. Given that \(\angle CDB = \angle DAB = 90^\circ\), \(AD = 6\), and \(DC = 8\).

Correct answer: 24

Solution

Since \(\angle CDB\) and \(\angle DAB\) are right angles, the figure forms right triangles that can be related using Pythagoras and similarity. Using the given lengths \(AD=6\) and \(DC=8\), the required side comes out to be 24.

Related IBPS PO Quantitative Aptitude questions

Which shape has no sides?
Perimeter of a right angled triangle is 60m and length of hypotenuse of right angled triangle is 25m. If base of the right angled triangle is the smallest side, then find length of smallest side.
Directions (51-55): There are five shops P, Q, R, S and T, and they sell two different items, A and B. The following pie chart shows the total number of items sold by different shops in a particular month. Total number of items sold = 500. What is the central angle corresponding to the total number of items sold by shop S?
In a bag, there are 3 magenta balls, 5 green balls, and 7 blue balls. Two balls are drawn one by one without replacement. If the first ball drawn is magenta, then 8 more magenta balls are added to the bag. Find the probability that both balls drawn are magenta.
A started a business. B and C joined him in the first year. Their investments were in the ratio 5:4:7 respectively, and the periods for which they invested were in the ratio 4:3:2 respectively. In the second year, A doubled the investment. B and C continued with the same investment for the same number of months as they did in the first year. The total profit in 2 years was Rs. 14,000. What is B's share of the profit?
A man invested Rs. X in simple interest at a rate of 15% for 5 years. Then he invested X + 300 at compound interest at 10% per annum for 2 years. If the total interest obtained is Rs. 4383, find the total amount invested by the man.

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →