Question

If \(CAT=24\) and \(RAT=39\), then which of the following statements are correct? A. \(MAT=29\), B. \(COW=41\), C. \(AGO=23\), D. \(BAT=23\), E. \(MEN=34\).

• A. A, C and E only
• B. A, B and C only
• C. B, C and D only
• D. C and D only

Hint:

For alphabet coding questions, write letter positions from \(A=1\) to \(Z=26\) and add them carefully.

Answer 1

The Correct Option is C

The coding is based on the sum of alphabet positions. We know: \[ A=1,\ B=2,\ C=3,\ldots,\ Z=26. \] Check: \[ CAT=C+A+T. \] \[ C=3,\quad A=1,\quad T=20. \] \[ CAT=3+1+20=24. \] So the rule is correct. Now: \[ RAT=R+A+T. \] \[ R=18,\quad A=1,\quad T=20. \] \[ RAT=18+1+20=39. \] Now check the statements. For \(MAT\): \[ M+A+T=13+1+20=34. \] So \(MAT=29\) is incorrect. For \(COW\): \[ C+O+W=3+15+23=41. \] So B is correct. For \(AGO\): \[ A+G+O=1+7+15=23. \] So C is correct. For \(BAT\): \[ B+A+T=2+1+20=23. \] So D is correct. For \(MEN\): \[ M+E+N=13+5+14=32. \] So E is incorrect. Therefore, the correct statements are: \[ B,\ C,\ D. \]