Among A, B, C and D, C is shorter than D but smarter than D. B is taller than D, but not smarter than D. A is not taller than C, but smarter than C. Then among them
A is the shortest and B is the least smart.
Analyzing the Relationships
We are given information about the relative height and intelligence of four people: A, B, C, and D. We need to determine who is the shortest and who is the least smart based on these clues.
Let's break down the information for both height and intelligence separately.
Height Relationships
Here are the clues related to height:
- C is shorter than D: \(C < D\)
- B is taller than D: \(B > D\)
- A is not taller than C: \(A \le C\) (This means A is shorter than or equal to C in height)
Let's combine these relationships to find the order of heights:
- We know \(B > D\) and \(C < D\). This tells us B is taller than D, and C is shorter than D. So, D is in between B and C in height, or B is taller than D, which is taller than C: \(B > D > C\).
- We also know \(A \le C\). This means A is either shorter than C or has the same height as C.
Combining \(B > D > C\) with \(A \le C\), we get the overall height order:
\(B > D > C \ge A\)
From this combined relationship, it is clear that A is the shortest person among A, B, C, and D because A is shorter than or equal to C, and C is shorter than both D and B.
Intelligence Relationships
Here are the clues related to intelligence:
- C is smarter than D: \(C > D\)
- B is not smarter than D: \(B \le D\) (This means B is less smart than or equal to D in intelligence)
- A is smarter than C: \(A > C\)
Let's combine these relationships to find the order of intelligence:
- We know \(A > C\) and \(C > D\). This tells us A is smarter than C, and C is smarter than D. So, A is smarter than both C and D, and C is smarter than D: \(A > C > D\).
- We also know \(B \le D\). This means B is either less smart than D or has the same intelligence as D.
Combining \(A > C > D\) with \(B \le D\), we get the overall intelligence order:
\(A > C > D \ge B\)
From this combined relationship, it is clear that B is the least smart person among A, B, C, and D because B is less smart than or equal to D, and D is less smart than both C and A.
Summary of Findings
Based on our analysis:
- The shortest person is A.
- The least smart person is B.
Let's compare these findings with the given options.
The statement "A is the shortest and B is the least smart" matches our conclusions.
Important Questions from Miscellaneous
A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:
A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
Consider the following statements:
1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :
