Logical Reasoning : Ranking & Ordering 1
Q) If A is taller than B but shorter than C, and B is as tall as D, while C is the tallest, then how tall is D ? (Q) āϝāĻĻāĻŋ A, B-āϤāĻā§ āĻāĻ āĻāĻŋāύā§āϤ⧠C-āϤāĻā§ āĻāĻžāĻĒā§° āĻšāϝāĻŧ, āĻā§°ā§ B āĻā§°ā§ D āϏāĻŽāĻžāύ āĻāĻ āĻšāϝāĻŧ, āϞāĻāϤ⧠C āĻāĻāĻžāĻāϤāĻā§ āĻāĻ āĻšāϝāĻŧ, āϤā§āύā§āϤ⧠D āĻāĻŋāĻŽāĻžāύ āĻāĻ ?)
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: A. As tall as A / A-ā§° āϏāĻŽāĻžāύ āĻāĻ B. Taller than C / C-āϤāĻā§ āĻāĻ C. Shorter than C / C-āϤāĻā§ āĻāĻžāĻĒā§° D. Shorter than A / A-āϤāĻā§ āĻāĻžāĻĒā§°
Given / āĻĻāĻŋāϝāĻŧāĻž āĻāĻā§
- A > B
- C > A
- B = D
- C is the tallest
Order / āĻā§ā§°āĻŽ : C > A > B = D
Ans / āĻāϤā§āϤ⧰ : D. Shorter than A (A-āϤāĻā§ āĻāĻžāĻĒā§°)
Tricks: D is shorter than A because D is equal to B, and A is taller than B.
D, A-āϤāĻā§ āĻāĻžāĻĒā§°, āĻāĻžā§°āĻŖ D = B āĻā§°ā§ A, B-āϤāĻā§ āĻāĻāĨ¤
Shortcut / āĻāĻŽā§ āĻā§āĻļāϞ
A > B and B = D
⇒ A > D
Ans: D. A-āϤāĻā§ āĻāĻžāĻĒā§°
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Q. Aman is 8th from the front and 11th from the back in a row. How many persons are there in the row ? āĻ āĻŽāύ⧠āĻāĻāύ āĻļāĻžā§°ā§āϤ āĻāĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž ā§ŽāĻŽ āĻā§°ā§ āĻĒāĻŋāĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž ā§§ā§§āĻŽ āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āĻļāĻžā§°ā§āĻāύāϤ āĻŽā§āĻ āĻāĻŋāĻŽāĻžāύāĻāύ āĻŦā§āϝāĻā§āϤāĻŋ āĻāĻā§ ?
Solution / āϏāĻŽāĻžāϧāĻžāύ:
Formula / āϏā§āϤā§ā§°: Total persons = Rank from front + Rank from back − 1 (āĻŽā§āĻ āĻŦā§āϝāĻā§āϤāĻŋ = āĻāĻāĻĢāĻžāϞ⧰ āϏā§āĻĨāĻžāύ + āĻĒāĻŋāĻāĻĢāĻžāϞ⧰ āϏā§āĻĨāĻžāύ − ā§§)
Here / āĻāϝāĻŧāĻžāϤ,
Rank from front = 8 (āĻāĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āϏā§āĻĨāĻžāύ = ā§Ž)
Rank from back = 11 (āĻĒāĻŋāĻāĻĢāĻžāϞ⧰ āĻĒā§°āĻž āϏā§āĻĨāĻžāύ = ā§§ā§§)
Therefore / āĻāϤāĻŋāĻā§,
Total persons = 8 + 11 − 1
= 18
Ans: 18 persons (āĻāϤā§āϤ⧰: ā§§ā§Ž āĻāύ āĻŦā§āϝāĻā§āϤāĻŋ)