Each deer has 2 extra legs compared to a peacock.
So,
Deer = 104 ÷ 2 = 52
Ans: A) 52 Deer
Trick / āĻā§ā§°āĻŋāĻ
Deer = (Total Legs − Total Heads × 2) ÷ 2
= (224 − 60 × 2) ÷ 2
= 104 ÷ 2
= 52
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Q. A jar contains some crabs (8 legs each) and some rabbits (4 legs each). If the total number of legs is 100 and the total number of heads is 20, how many crabs are there ? āĻĒā§ā§°āĻļā§āύ: āĻāĻāĻž āĻāĻžā§°āϤ āĻāĻŋāĻā§āĻŽāĻžāύ āĻā§āĻāĻā§ā§°āĻž (āĻĒā§ā§°āϤāĻŋ āĻā§āĻāĻā§ā§°āĻžā§° 8āĻāĻž āĻā§°āĻŋ) āĻā§°ā§ āĻā§°āĻā§āĻļ (āĻĒā§ā§°āϤāĻŋ āĻā§°āĻā§āĻļā§° 4āĻāĻž āĻā§°āĻŋ) āĻāĻā§āĨ¤ āϝāĻĻāĻŋ āĻŽā§āĻ āĻā§°āĻŋ = 100 āĻā§°ā§ āĻŽā§āĻ āĻŽā§ā§° = 20, āϤā§āύā§āϤ⧠āĻā§āĻāĻā§ā§°āĻž āĻāĻŋāĻŽāĻžāύāĻāĻž ?
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: (A) 15 (B) 5 (C) 16 (D) 4
Trick / āĻā§ā§°āĻŋāĻ
Every animal has 1 head, so total animals = 20. : āĻĒā§ā§°āϤāĻŋāĻā§ āĻāύā§āϤā§ā§° ā§§āĻāĻž āĻŽā§ā§° āĻĨāĻžāĻā§, āϏā§āϝāĻŧā§ āĻŽā§āĻ āĻāύā§āϤ⧠= 20āĨ¤)
Assume all are rabbits (4 legs each). : āϧ⧰āĻŋ āϞāĻāĻ āϏāĻāϞ⧠āĻā§°āĻā§āĻļ (āĻĒā§ā§°āϤāĻŋ āĻā§°āĻā§āĻļā§° 4āĻāĻž āĻā§°āĻŋ)āĨ¤
Legs (āĻā§°āĻŋ) = 20 × 4 = 80
Actual legs (āĻĒā§ā§°āĻā§āϤ āĻā§°āĻŋ) = 100
Extra legs (āĻ
āϤāĻŋā§°āĻŋāĻā§āϤ āĻā§°āĻŋ) = 100 − 80 = 20
Each crab has 4 extra legs than a rabbit (āĻāĻāĻž āĻā§āĻāĻā§ā§°āĻžā§° āĻā§°āĻā§āĻļāϤāĻā§ 4āĻāĻž āĻā§°āĻŋ āĻŦā§āĻāĻŋ) (8 − 4 = 4).
Crabs (āĻā§āĻāĻā§ā§°āĻž) = Extra legs (āĻ
āϤāĻŋā§°āĻŋāĻā§āϤ āĻā§°āĻŋ) ÷ 4 = 20 ÷ 4 = 5
Ans / āĻāϤā§āϤ⧰: (B) 5
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Q. A cage contains some rats (4 legs each) and some crabs (8 legs each). If the total number of heads is 30 and the total number of legs is 140, how many rats are there ? āĻĒā§ā§°āĻļā§āύ: āĻāĻāĻž āĻĒāĻŋāĻā§āĻā§°āĻžāϤ āĻāĻŋāĻā§āĻŽāĻžāύ āĻāύā§āĻĻā§ā§° (āĻĒā§ā§°āϤāĻŋ āĻāύā§āĻĻā§ā§°ā§° 4āĻāĻž āĻā§°āĻŋ) āĻā§°ā§ āĻā§āĻāĻā§ā§°āĻž (āĻĒā§ā§°āϤāĻŋ āĻā§āĻāĻā§ā§°āĻžā§° 8āĻāĻž āĻā§°āĻŋ) āĻāĻā§āĨ¤ āϝāĻĻāĻŋ āĻŽā§āĻ āĻŽā§ā§° = 30 āĻā§°ā§ āĻŽā§āĻ āĻā§°āĻŋ = 140, āϤā§āύā§āϤ⧠āĻāύā§āĻĻā§ā§° āĻāĻŋāĻŽāĻžāύāĻāĻž ?
Options / āĻŦāĻŋāĻāϞā§āĻĒāϏāĻŽā§āĻš: (A) 25 (B) 4 (C) 16 (D) 8
Trick / āĻā§ā§°āĻŋāĻ
Every animal has 1 head, so total animals = 30. āĻĒā§ā§°āϤāĻŋāĻā§ āĻāύā§āϤā§ā§° ā§§āĻāĻž āĻŽā§ā§° āĻĨāĻžāĻā§, āϏā§āϝāĻŧā§ āĻŽā§āĻ āĻāύā§āϤ⧠= 30āĨ¤
Assume all are rats (4 legs each). āϧ⧰āĻŋ āϞāĻāĻ āϏāĻāϞ⧠āĻāύā§āĻĻā§ā§° (āĻĒā§ā§°āϤāĻŋ āĻāύā§āĻĻā§ā§°ā§° 4āĻāĻž āĻā§°āĻŋ)āĨ¤
Legs (āĻā§°āĻŋ) = 30 × 4 = 120
Actual legs (āĻĒā§ā§°āĻā§āϤ āĻā§°āĻŋ) = 140
Extra legs (āĻ
āϤāĻŋā§°āĻŋāĻā§āϤ āĻā§°āĻŋ) = 140 − 120 = 20
Each crab has 4 extra legs than a rat (āĻāĻāĻž āĻā§āĻāĻā§ā§°āĻžā§° āĻāύā§āĻĻā§ā§°āϤāĻā§ 4āĻāĻž āĻā§°āĻŋ āĻŦā§āĻāĻŋ) (8 − 4 = 4).
Crabs (āĻā§āĻāĻā§ā§°āĻž) = 20 ÷ 4 = 5
Rats (āĻāύā§āĻĻā§ā§°) = 30 − 5 = 25
Ans / āĻāϤā§āϤ⧰: (A) 25
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