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Out of a heap of pebbles 66 lots of equal number of pebbles can be formed. Each lot can have maximum seven numbers of pebbles. Find which statement is
Question

Out of a heap of pebbles 66 lots of equal number of pebbles can be formed. Each lot can have maximum seven numbers of pebbles. Find which statement is incorrect.

A.

11 lots of equal number of pebbles can be formed

B.

3 lots of equal number of pebbles can be formed

C.

33 lots of equal number of pebbles can be formed

D.

26 lots of equal number of pebbles can be formed

Correct option is B

Given:
A heap can be divided into 66 lots of equal number of pebbles
Each lot has a maximum of 7 pebbles

Concept Used:
Each valid divisor of 66 that results in a number of pebbles per lot ≤ 7 is a valid option.
We must check whether the number of pebbles in each lot (i.e., 66 ÷ option) is ≤ 7. If not, the statement is incorrect.
Formula Used:
Number of pebbles per lot = Total pebbles Number of lots\frac{\text{Total pebbles}}{\text{ Number of lots}}
Solution:

Lets check by options:
Option (a): 11 lots of equal number of pebbles can be formed

66 ÷ 11 = 6 → Valid (≤ 7) Correct 
Option (b): 3 lots of equal number of pebbles can be formed

66 ÷ 3 = 22 → Invalid (> 7) Incorrect 
Option (c): 33 lots of equal number of pebbles can be formed

66 ÷ 33 = 2 → Valid (≤ 7) Correct 
Option (d): 26 lots of equal number of pebbles can be formed

66 ÷ 26 ≈ 2.538 → Valid (≤ 7) Correct

Thus, the correct answer is (b). 

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