Aptitude Discussion

Q. |
A train left station $X$ at $A$ hour $B$ minutes. It reached station $Y$ at $B$ hour $C$ minutes on the same day, after travelling $C$ hours $A$ minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of $A$ is: |

✔ A. |
0 |

✖ B. |
1 |

✖ C. |
2 |

✖ D. |
3 |

**Solution:**

Option(**A**) is correct

$A$ hours + $C$ hours = $B$ hours -------- (i)

$A$, $C$ and $B$ cannot have values greater than or equal to 24

$B$ minutes + $A$ minutes = $C$ minutes -------- (ii)

Looking at the two equations, we get that no value of $A$ satisfies both the equations.

Hence, **option A**