**Direction:** Answers to the following questions are based on the details given below:

In a city with 120 families, 93 families use biogas, 63 use LPG gas, 45 use wood, 45 use biogas and LPG gas, 24 use LPG of gas and wood and 27 of families use wood and biogas for cooking.

How many families do not use any of these three?

A. 2

B. 5

C. 1

D. 0

This question was previously asked in

NTPC Tier I (Held On: 12 Apr 2016 Shift 2)

Option 1 : D

Cell

306304

10 Questions
10 Marks
7 Mins

Given:

Total number of families n(T) = 120

Resources |
Number of families |

Biogas n(B) |
93 |

LPG n(L) |
63 |

Wood n(W) |
45 |

Biogas and LPG gas n(B∩L) |
45 |

LPG gas and Wood n(L∩W) |
24 |

Wood and Biogas n(W∩B) |
27 |

Concept used:

Calculation:

From the Venn diagram, it is clear that all families use at least any one of the fuels.

Then, the number of families that use none of the given fuels = 0

**∴ All families use at least one of these fuels to cook.**