IPMAT Indore 2021 (SA) - What is the minimum number of weights which enable us to weigh any integer number of grams of gold from 1 to 100 on a standard balance with two pans? (Weights can be placed only on the left pan) | PYQs + Solutions

IPMAT Indore 2021

DILR

Weights

Easy

What is the minimum number of weights which enable us to weigh any integer number of grams of gold from 1 to 100 on a standard balance with two pans? (Weights can be placed only on the left pan)

Entered answer:

Correct Answer: 7

For this type of question we have look that the number given comes between which two squares of

2

\newline

Here,

100

is given which come between

64

and

128

i.e. in between

2^6

and

2^7

So, we will take the lower square i.e.

6

so the weights will be

6+1=7

\newline

And, the weights will be

2^0, 2^1, 2^2, 2^3, 2^4, 2^5 \text{ and } 2^6