**Direct and Inverse Proportions MCQ Questions Class 8 Maths Chapter 13**

__Chapter – 13__

__Chapter – 13__

__Direct and Inverse Proportions__

__Direct and Inverse Proportions__

**Question 1: **

**The cost of 7m of a particular quality of pipe is ****₹200 tabulate the cost of 4 meter of pipe of the same type. **

**(a) 114.28 **

**(b) 28.114 **

**(c) 11.42 **

**(d) 1.428 **

**Ans: **

x |
4 |
7 |

y |
Y_{1} |
200 |

** **

**Therefore x _{1}/y_{1} = x_{2}/y_{2} **

**4/y _{1} = 7/200 **

**= 4×200/7 = y _{1} **

**y _{1} = 800/7 = 114.28 (a) **

** **

**Question 2: **

**A train is moving at a uniform speed of 60 km/hr. How far will it travel in 30 minutes? **

**(a) 20 **

**(b) 25 **

**(c) 30 **

**(d) 40 **

**Ans: **

**(i) We have 60/60 = x/30 **

**(c) x = 60 minutes **

**So the train will cover a distance 30km in 30 minutes. **

** **

**Question 3: **

**The scale of map is given as 1:40000000 two cities are 3cm apart on the map. Find the actual distance between them? **

**(a) 1400**

**(b) 1300 **

**(c) 1200 **

**(d) 1100 **

**Ans: **

**Let the map distance be x cm and actual distance by y cm then. **

**1:40000000 = x:y, x = 4 **

**1/4×10 ^{7} = x/y, 1/4×10^{7} = 4/y **

**y = 4×3×10 ^{7} = 12×10^{7} = 1200km (c) **

** **

**Question 4: **

**A train is moving at uniform speed of 60km/hr. Find the time required to cover a distance 230 km? **

**(a) 200 min **

**(b) 300 min **

**(c) 60 min **

**(d) 250 min **

**Ans: **

**60/60 = 200/y **

**(a) y = 200 minutes = 3 hrs. 20 minutes **

** **

**Question 5: **

**A machine in Cocacola factory fills 640 bottles in 4 hours. How many bottles will it fill in hour? **

**(a) 700 **

**(b) 1000 **

**(c) 900 **

**(d) 800**

**Ans: **

**640/4 = x/5 **

**160×5 = x **

**x = 800 (d) **

** **

**Question 6: **

**5 pipes are required to fill a tank in 1 hour 20 minute. How long will it take if only 4 pipes of the same type are used? **

**(a) 200 min **

**(b) 100 min **

**(c) 60 min **

**(d) 40 min **

**Ans: **

**Let the desired time to fill the tank x minutes. **

**Lesser the number of pipes, more will be the time required by it to fill the tank, **

**So, this is a case of inverse proportion 80×5 = x×4 **

**x =80×5/4 **

**(b) x = 100, 1 hour 40 minutes **

** **

**Question 7: **

**If 10 workers can build a wall in 40 hours how many workers will be required to do the same work in 20 hours? **

**(a) 10 **

**(b) 30 **

**(c) 20 **

**(d) 40 **

**Ans: **

**40×10 = 20×y **

**40×10 = y **

**20 = 20 **

**(c) y = 20 **

**20 workers are required. **

**In case you have missed:- Previous Chapter MCQ Questions**

**Question 8: **

**Observe the following tables and find which pair of variables are in inverse ****inverse**** proportion. **

**(a) **

X |
80 |
40 |

Y |
160 |
8 |

** **

**(b) **

X |
40 |
5 |

y |
5 |
40 |

** **

**(c) **

x |
90 |
80 |

y |
180 |
6 |

** **

**(d) **

X |
6 |
5 |

y |
80 |
90 |

** **

**Ans: **

**(d) **

X |
6 |
5 |

y |
80 |
90 |

**This table is in the inverse tables. **

** **

**Question 9: **

**There are 50 students in hostel. Food provision for them is for 20 days. How long will these provision last 50 more students join the group? **

**(a) 15 **

**(b) 20 **

**(c) 30 **

**(d) 10 **

**Ans: **

**50****×20 = 100×y **

**50×20/100 = y **

**y = 10 (d) **

** **

**Question 10: **

**A batch of mango were packed in 25 boxes with 20 mangoes in each box if the same batch is packed using 25 mangoes in each box, how many boxes would be filed? **

**(a) 10 **

**(b) 30 **

**(c) 40 **

**(d) 20 **

**Ans: **

**25×20 = 25×y **

**25×20/25 = y **

**y = 20 (d) **

**20 boxes would be filled **

** **

**Question 11: **

**A farmer has enough food to feed 30 animals in his cattle’s for 6 day how long would the food last id there were 12 more animals in his cattle’s? **

**(a) 14 **

**(b) 12 **

**(c) 15 **

**(d) 13 **

**Ans: **

**30×6 = 12×y **

**30×6/12 = y **

**y = 15 (c) **

** **

**Question 12: **

**Motorcycles takes 2 hour to reach a destination by travelling at the speed of 40km/hr. How long will it take when the motor travels at the speed of 80 km/hr? **

**(a) 1hr **

**(b) 2hr **

**(c) 1.30hr **

**(d) 2.30hr **

**Ans: **

**2×40 = 80×y **

**2×40/80 = y **

**y = 2×40/80 **

**y = 1hr (a) **

** **

**Question 13: **

**A loaded train travels 28km in 30 minutes. If the speed remains the same, how far can it travel in 5 hours? **

**(a) 100**

**(b) 210 **

**(c) 240 **

**(d) 280 **

**Ans: **

**28/(30×1/60) = x/5 **

**28×2×5 = x **

**x = 280 (d) 280 km **

** **

**Question 14: **

**The cost of 10 meters of particular quality of cloth ****₹200 tabulate the cost of 8 meters of cloth the same type **

**(a) 120 **

**(b) 140 **

**(c) 160 **

**(d) 180 **

**Ans: **

x |
8 |
10 |

y |
y/2 |
200 |

** **

**x _{1}/y_{1} = x_{2}/y_{2}, 10/200 = 8/y^{2}, **

**20**** × 8 = y _{2} **

**y _{2} = 160 (c) **

** **

**Question 15: **

**An electric pole 18 meters high ****castle ****shadow of 10 meters. Find the height of electric pole that cost a shadow of 20 meters under similar condition? **

**(a) 32 **

**(b) 36**

**(c) 34 **

**(d) 40 **

**Ans: **

**18/10 = x/20**

**18×20/10 = x **

**36 = x (b)**

**In case you have missed:- Next Chapter MCQ Questions**

**Here is your solution of Direct and Inverse Proportions MCQ Questions Class 8 Maths Chapter 13**

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