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Question

Raj, Gaurav and Amit are fast friends. They started painting a wall. Raj paints 215 of the wall, Gaurav paints 124 of the wall and Amit paints 310 of the wall. Read the statements related to above situation and answer the question given below.

Statement 1: Gaurav painted least portion of the wall.

Statement 2: 118 portion of the wall is unpainted.

Which of the following option holds?


A

Both statements 1 and statement 2 are true.

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B

Both statements 1 and statement 2 are false.

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C

Statement 1 is true but statement 2 is false.

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D

Statement 1 is false and statement 2 is true.

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Solution

The correct option is C

Statement 1 is true but statement 2 is false.


Given,

Raj paints 215 of the wall.

Gaurav paints 124 of the wall.

Amit paints 310 of the wall.

Convert the fractions into like fraction for comparing,

LCM of 15,24,10=120

215=2×815×8=16120

124=1×524×5=5120

310=3×1210×12=36120

124<215<310

Gaurav painted the least, Statement 1 is true.

Total portion painted by all the three=16120+5120+36120=57120

Unpainted portion=1-Total painted portion

=1-57120=63120=2140

The unpainted portion is 2140, statement 2 is false.

Hence, the correct option is C.


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