Find :- Statements / āĻ•āĻĨāύ & Conclusions / āϏāĻŋāĻĻā§āϧāĻžāĻ¨ā§āϤ


Q) Statements / āĻ•āĻĨāύ: (i) All Cats are Rats. / āϏāĻ•āϞ⧋ āĻŽā§‡āϕ⧁⧰⧀ āύāĻŋāĻ—āύāĻŋāĨ¤,  (ii) All Rats are Elephants. / āϏāĻ•āϞ⧋ āύāĻŋāĻ—āύāĻŋ āĻšāĻžāϤ⧀āĨ¤


Conclusions / āϏāĻŋāĻĻā§āϧāĻžāĻ¨ā§āϤ: (i) All Cats are Elephants. / āϏāĻ•āϞ⧋ āĻŽā§‡āϕ⧁⧰⧀ āĻšāĻžāϤ⧀āĨ¤  (ii) All Elephants are Cats. / āϏāĻ•āϞ⧋ āĻšāĻžāϤ⧀ āĻŽā§‡āϕ⧁⧰⧀āĨ¤


Options / āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ


A. Only (i) follows. / āĻ•ā§‡ā§ąāϞ (i) āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰⧇āĨ¤
B. Only (ii) follows. / āĻ•ā§‡ā§ąāϞ (ii) āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰⧇āĨ¤
C. Both (i) and (ii) follow. / (i) āφ⧰⧁ (ii) āĻĻ⧁āϝāĻŧā§‹āϟāĻžāχ āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰⧇āĨ¤
D. Neither (i) nor (ii) follows. / (i) āĻŦāĻž (ii) āϕ⧋āύ⧋āĻŸā§‹ā§ąā§‡āχ āĻ…āύ⧁āϏ⧰āĻŖ āύāϕ⧰⧇āĨ¤


Soln / āϏāĻŽāĻžāϧāĻžāύ



  • All Cats → Rats → Elephants (āϏāĻ•āϞ⧋ āĻŽā§‡āϕ⧁⧰⧀ → āύāĻŋāĻ—āύāĻŋ → āĻšāĻžāϤ⧀)

  • Therefore, All Cats are Elephants. (āĻ…āϤāĻāĻŦ, āϏāĻ•āϞ⧋ āĻŽā§‡āϕ⧁⧰⧀ āĻšāĻžāϤ⧀āĨ¤)

  • So, Conclusion (i) follows. (āϏ⧇āϝāĻŧ⧇, āϏāĻŋāĻĻā§āϧāĻžāĻ¨ā§āϤ (i) āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰⧇āĨ¤)

  • But, All Elephants are Cats cannot be concluded. (āĻ•āĻŋāĻ¨ā§āϤ⧁, āϏāĻ•āϞ⧋ āĻšāĻžāϤ⧀ āĻŽā§‡āϕ⧁⧰⧀ āĻŦ⧁āϞāĻŋ āĻ•'āĻŦ āĻ¨ā§‹ā§ąāĻžā§°āĻŋāĨ¤) - Wrong

  • So, Conclusion (ii) does not follow. (āϏ⧇āϝāĻŧ⧇, āϏāĻŋāĻĻā§āϧāĻžāĻ¨ā§āϤ (ii) āĻ…āύ⧁āϏ⧰āĻŖ āύāϕ⧰⧇āĨ¤)


Ans / āωāĻ¤ā§āϤ⧰A. Only (i) follows. / āĻ•ā§‡ā§ąāϞ (i) āĻ…āύ⧁āϏ⧰āĻŖ āϕ⧰⧇āĨ¤