Aptitude Discussion

Q. |
The number 3 divides ‘$a$’ with a result of ‘$b$’ and a remainder of 2. The number 3 divides ‘$b$’ with a result of 2 and a remainder of 1. What is the value of $a$? |

✖ A. |
13 |

✖ B. |
17 |

✖ C. |
21 |

✔ D. |
23 |

**Solution:**

Option(**D**) is correct

Since 3 divides $b$ with a result of 2 and a remainder of 1, $b = 2×3 + 1 = 7$.

Since number 3 divides a with a result of $b$ (which we now know equals 7) and a remainder of 2, $ a = b×3 + 2 = 7×3 + 2 =$ **23**.