Bissoy.com
Doctors Medicines MCQs Q&A

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements: The line joining P and R is parallel to the line joining Q and S. P is placed on the side opposite to the corner T. S and U cannot be placed on the same side. Which one of the following statements is correct based on the above information?

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements: The line joining P and R is parallel to the line joining Q and S. P is placed on the side opposite to the corner T. S and U cannot be placed on the same side. Which one of the following statements is correct based on the above information? Correct Answer S cannot be placed at a corner

The correct answer is option 2.

Concept:

The given data

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T, and U, but not necessarily in the same order.

  • The line joining P and R is parallel to the line joining Q and S.
  • P is placed on the side opposite corner T.
  • S and U cannot be placed on the same side.

Using the above information we can draw, 

 

[ alt="F1 Madhuri Engineering 28.03.2022 D15" src="//storage.googleapis.com/tb-img/production/22/03/F1_Madhuri_Engineering_28.03.2022_D15.png" style="width: 204px; height: 206px;">

S can’t be placed at corners because PR is parallel with QS.

Hence the correct answer is S cannot be placed at a corner.

Related Questions

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?
ABCD is a trapezium, AB is parallel to CD and CD is parallel to EF and AD and BC are non-parallel sides where AD = BC, then which statements (s) is/are correct? A) If E and F are midpoints of side AD and BC respectively, then the length of EF is half of the sum of parallel sides. B) If E and F are not midpoints of sides AD and BC, then EF = (AE × DC + FC × AB)/AD C) If E and F are midpoints of sides AD and BC respectively, then (ar ABFE) : (ar DCFE) = (3AB + DC) : (3DC + AB) 
Consider the following statements : I. Every equilateral triangle is necessarily an isosceles triangle. II. Every right-angled triangle is necessarily an isosceles triangle. III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle. The correct statements are:
Consider the following statements :I. Every equilateral triangle is necessarily an isosceles triangle.II. Every right-angled triangle is necessarily an isosceles triangle.III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.The correct statements are:
Five boxes B1, B2, B3, B4 and B5 are placed one above the other in racks. The lowermost rack is numbered as one and just above the lowermost is numbered as two and so on. Each box is coloured with different colour such as L1, L2, L3, L4 and L5 (not necessarily in the same order). Two boxes are placed between L2 coloured box and L5 coloured box. Box B1 is not placed immediately above box B3. Box B4 is placed in the top most rack. L1 coloured box is placed immediate above L5 coloured box. Box B3 is coloured with L4. L5 coloured box is placed above L4 coloured box. Box B2 is coloured with L1. Which of the following boxes are placed immediately above and immediately below B5 box respectively?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
Eight friends, P, Q, R, S, T, U, V and W are sitting around a square table facing centre. One each is sitting at the midpoints of the sides and one each at the corners of the table. Each person is wearing different colour T-shirt. One in Yellow colour is occupying one of the corners. He has the Q in red T-shirt to his immediate left who is second to the right of  ‘V’ in green T-shirt. W in white is opposite ‘V’ in Green and is between T and R. S in grey T-shirt is between P in black and R in Pink T-shirt. U in Blue T-shirt is diagonally opposite R. Who is wearing yellow T-shirt? 
A circle of maximum area is inscribed in the square. An equilateral triangle is inscribed in that circle and all the vertices of the triangle touch the circle. A triangle is formed by the joining of the midpoint of the sides of the equilateral triangle. Find the ratio of the area of the square and area of the triangle which is formed by midpoints.
10 people - A, B, C, D, E, P, Q, R, S and T are sitting opposite to each other in two different rows. There are five people in each row and facing towards each other. Q is not facing north is sitting opposite to the one who is sitting second to the right of D. S is an immediate neighbour of A but not of Q. P is not sitting at any of the extreme ends. R is facing north and is sitting at one of the extreme ends but not opposite to S. S is sitting in the opposite row of B but is not sitting opposite to D. Only one person is sitting between B and D. D and Q are not sitting at any of the extreme ends. C is sitting second to the right of E and opposite to the one who is an immediate neighbour of D. Who among the following pair is not sitting opposite to each other?
Study the given information carefully and answer the question that follows. Colleagues Karna, Michelli, Prabhu, Vanaja, Mohan, Raghu, Jockey and Neelima are sitting around a square table in such way that four of them sit at corners and four of them at the middle of the sides. The ones who sit at the corners face outside (opposite to the centre) and the ones who sit at the middle of the sides face towards centre. Vanaja is seated third to the right of Jockey. Vanaja faces towards the centre. Mohan is third to the left of Prabhu. Prabhu is not sitting at middle of any of the sides. Only one person sits between Mohan and Raghu. Raghu is not an immediate neighbour of Prabhu. Neelima faces towards the centre. Karna is not an immediate neighbour of Raghu. Who is an immediate neighbour of both Mohan and Raghu?