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Q.

One-third of one fourth of a number is 12 . Then the number is? Choose the correct option:


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a

96

b

144

c

108

d

36 

answer is B.

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Detailed Solution

Concept- Utilize the idea that 1/3 of 1/4 of a number a will be. Question Image. To obtain the value of the above expression, we just need to build an equation using it.
We have determined the answer to the query as the number such that one-third of one fourth of a number equals twelve.
 Let a be the necessary number. Now that we are aware of how to multiply a number and a fraction to obtain a result, we can easily determine any fraction of a given number. Therefore, we intend to argue that a number's fourth is provided byQuestion ImageIt is also well known that multiplying the two fractions will get the answer if we are attempting to determine the fraction of any given fraction. Therefore, we may also claim that a number can be fractional.
Therefore, if we calculate the fourth of a number, we obtainQuestion ImageMoreover, when we determine the third of the fourth of a number, we will have Question ImageGiven that a third of a fourth of a number is equal to 12, we will arrive at the equation that will be shown as follows.
Question ImageQuestion ImageQuestion ImageTherefore, 144 is the last number we need.
Hence, the correct answer is option 2.
 

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