Question : Directions: Nirav's house is 40 m south of Akash's house. Daksh's house is to the east of Akash's house in a straight line at a distance of X m. Prakash's house is to the west of Akash's house in a straight line at a distance of Y m. If the shortest distance between Prakash's house and Nirav's house is 50 m and the shortest distance between Daksh's house and Nirav's house is also 50 m, then what is the distance between Prakash's house and Daksh's house?
Option 1: 40 m
Option 2: 30 m
Option 3: 60 m
Option 4: 80 m
New: SSC Stenographer Application Form 2024 Released
Don't Miss: Month-wise current affairs
Suggested: Upcoming government exams
Correct Answer: 60 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have the distance between between Prakash's house and Daksh's house.
From the above diagram, Using the Pythagoras theorem, we can find the values of X and Y – (40)2 + (Y)2 = (50)2 1600 + (Y)2 = 2500 (Y)2 = 2500 – 1600 (Y)2 = 900 Y = 30 Similarly, (40)2 + (X)2 = (50)2 1600 + (X)2 = 2500 (X)2 = 2500 – 1600 (Y)2 = 900 X = 30
So, the value (X + Y) = 30 + 30 = 60m. Hence, the third option is correct.
Application | Eligibility | Dates | Syllabus
Question : Directions: The houses of five persons A, B, C, D and E are situated in such a way that A's house is 60 m to the north of E's house. D's house is 30 m to the west of E's house. B's house is 60 m to the north of C's house. C's house is 30 m to the west of D's house. In which direction is B's house with reference to A's house?
Option 1: East
Option 2: West
Option 3: North
Option 4: South
Question : Directions: Rashmi stepped out of her college and walked 15 m towards the South. She then took a left turn and walked 35 m to reach a pastry shop. She then took a right turn and walked 15 m. She then took a right turn and walked 35 m to reach her house. What is the approximate shortest distance between Rashmi's college and her house via the pastry shop?
Option 1: 38 m
Option 2: 69 m
Option 3: 76 m
Option 4: 54 m
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
Question : Directions: Stepping outside her school, Katrina walked 40 m towards the South to reach an ice cream parlour. From there, she took a left turn and walked 15 m to reach a bus stop. She then took a left turn and walked for another 30 m to reach the central park. What is the approximate shortest distance between the ice cream parlour and the central park?
Option 1: 37.5 m
Option 2: 33.5 m
Option 3: 46 m
Question : Directions: If A @ B means A is the son of B, and A $ B means A is the sister of B, then which of the following expressions means M is K's sister's son?
Option 1: M $ G @ K
Option 2: K @ G $ M
Option 3: G @ K $ M
Option 4: M @ G $ K
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile