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-āϤāĻ•ā§ˆ āĻ“āĻ– āĻ•āĻŋāĻ¨ā§āϤ⧁ C-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§° āĻšāϝāĻŧ, āφ⧰⧁ B āφ⧰⧁ D āϏāĻŽāĻžāύ āĻ“āĻ– āĻšāϝāĻŧ, āϞāĻ—āϤ⧇ C āφāϟāĻžāχāϤāĻ•ā§ˆ āĻ“āĻ– āĻšāϝāĻŧ, āϤ⧇āĻ¨ā§āϤ⧇ D āĻ•āĻŋāĻŽāĻžāύ āĻ“āĻ– ?)


Options / āĻŦāĻŋāĻ•āĻ˛ā§āĻĒāϏāĻŽā§‚āĻš: A. As tall as A / A-ā§° āϏāĻŽāĻžāύ āĻ“āĻ–   B. Taller than C / C-āϤāĻ•ā§ˆ āĻ“āĻ–  C. Shorter than C / C-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§°  D. Shorter than A / A-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§°


Given / āĻĻāĻŋāϝāĻŧāĻž āφāϛ⧇



  • A > B

  • C > A

  • B = D

  • C is the tallest


Order / āĻ•ā§ā§°āĻŽ : C > A > B = D


Ans / āωāĻ¤ā§āϤ⧰ : D. Shorter than A (A-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§°)


Tricks: D is shorter than A because D is equal to B, and A is taller than B.


D, A-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§°, āĻ•āĻžā§°āĻŖ D = B āφ⧰⧁ A, B-āϤāĻ•ā§ˆ āĻ“āĻ–āĨ¤


Shortcut / āϚāĻŽā§ āĻ•ā§ŒāĻļāϞ


A > B and B = D


A > D


Ans: D. A-āϤāĻ•ā§ˆ āϚāĻžāĻĒā§°


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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⧇ āĻāĻ–āύ āĻļāĻžā§°ā§€āϤ āφāĻ—āĻĢāĻžāϞ⧰ āĻĒā§°āĻž ā§ŽāĻŽ āφ⧰⧁ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āĻĒā§°āĻž ā§§ā§§āĻŽ āĻ¸ā§āĻĨāĻžāύāϤ āφāϛ⧇āĨ¤ āĻļāĻžā§°ā§€āĻ–āύāϤ āĻŽā§āĻ  āĻ•āĻŋāĻŽāĻžāύāϜāύ āĻŦā§āϝāĻ•ā§āϤāĻŋ āφāϛ⧇ ?


Solution / āϏāĻŽāĻžāϧāĻžāύ:


Formula / āϏ⧂āĻ¤ā§ā§°: Total persons = Rank from front + Rank from back − 1 (āĻŽā§āĻ  āĻŦā§āϝāĻ•ā§āϤāĻŋ = āφāĻ—āĻĢāĻžāϞ⧰ āĻ¸ā§āĻĨāĻžāύ + āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āĻ¸ā§āĻĨāĻžāύ − ā§§)


Here / āχāϝāĻŧāĻžāϤ,
Rank from front = 8 (āφāĻ—āĻĢāĻžāϞ⧰ āĻĒā§°āĻž āĻ¸ā§āĻĨāĻžāύ = ā§Ž)


Rank from back = 11 (āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āĻĒā§°āĻž āĻ¸ā§āĻĨāĻžāύ = ā§§ā§§)


Therefore / āĻ—āϤāĻŋāϕ⧇,


Total persons = 8 + 11 − 1
= 18


Ans: 18 persons (āωāĻ¤ā§āϤ⧰: ā§§ā§Ž āϜāύ āĻŦā§āϝāĻ•ā§āϤāĻŋ)

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