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MAT Exam 2021 Paper

Question Numbers: 121-122

DIRECTIONS (Qs. 121-122) : Study the information to answer these questions.

In a city there are modes of transport available

A, B, C, D, E

and

F

for commuting. Out of the total number of commuters commuting daily in the city, 17171 commute only by A. 7359 commute only by

B

and 22077 commute only by

C

. 14718 commute only by

D, 4906

commute only by

E

and 7359 commute only by

F .26983

commute by

C

as well as

A, 9812

commute by

E

as well as

A

, (Total number of commuters is 122650 ). Assume that there is no overlap between the commuters of different modes and their combination of transport.

Question : 122 of 200

Marks: +1, -0

What is the difference in percentage of commuters commuting by

E

and that of

B

asnd

F

taken together ?

Validate

Solution:

Concept:

Find percentages from the given numbers and subtract them.

Explanation:

Total commuters

= 122650

Commuters by

E

= 4906

Percentage by

E

\frac{4906}{122650} \times 100 = 4\%

Commuters by

B

and

F

together

= 7359 + 7359 = 14718

Percentage by

B

and

F

together:

\frac{14718}{122650} \times 100 = 12\%

Required difference

= 12\% - 4\% = 8\%

Answer:

8\%

, i.e. option C.

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