Question : Directions: Suyash starts walking from Point A and goes 130 m towards the southeast. Pradeep starts walking from Point B and goes 130 m towards the southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B?
Option 1: 120 m
Option 2: 100 m
Option 3: 80 m
Option 4: 50 m
New: SSC Stenographer Application Form 2024 Released
Don't Miss: Month-wise current affairs
Suggested: Upcoming government exams
Correct Answer: 100 m
Solution : According to the instructions given, the diagram is as follows –
Now, we have to calculate the distance between A and B.
Here, A is the starting point of Suyash, B is the starting point of Pradeep and C is the meeting point of both. AC = BC = 130m; CD = 120m Calculate the distance between AD using the Pythagoras Theorem – (AC) 2 = (AD) 2 + (CD) 2 (130) 2 = (AD) 2 + (120) 2 16900 = (AD) 2 + 14400 16900 – 14400 = (AD) 2 (AD) 2 = 2500 AD = 50m Similarly, BD = 50m
Therefore, AB = 100m. Hence, the second option is correct.
Application | Eligibility | Dates | FAQs
Question : Directions: Two friends, Yash and Mita, start walking from two different points. Yash starts from point A and walks 14 m towards the west and then turns left and walks 20 m. Next, he turns right and walks 21 m to reach point C. Mita starts from point B and
Question : Directions: Suyash starts walking from his office and walks 40 m towards the south. From there, he turns right and walks 35 m, and then he turns right again and walks 70 m. Finally, he turns right one more time and walks 75 m to reach his home. What is
Question : Directions: Mridul cycles 145 m towards the east, and then turns left and cycles 155 m. Again, he turns left and cycles 225 m. He finally turns left and cycles 95 m to reach his home. What is the shortest distance between his home and the starting point?
Question : Directions: Seven persons A, B, C, D, E, F, and G are sitting in a straight line facing north. B is sitting between F and A. G is to the immediate left of D. Two persons are sitting between A and D. C is to the immediate right of A. Two persons are sitting
Question : Directions: Navya starts walking from her home and goes 27 m towards the west. From there, she turns right and walks a certain distance of P m. Then she turns right and walks 16 m. She then turns right again and walks 72 m. After that, she turns left and
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile