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MAT Exam 2022 Paper

Question Numbers: 154-158

DIRECTIONS (Qs. 154-158): Study the following graphs which show the number of workers of different categories of a factory for two different years. The total number of workers in 1998 was 2000 and in 2000 was 2400

No. of workers in 1998

No. of workers in 2000

Question : 154 of 200

Marks: +1, -0

In which of the categories is the number of workers same in both the years?

Validate

Solution:

Concept:

The number of workers in a category is obtained by multiplying the given percentage share by the total number of workers for that year.

Explanation:

Total workers in 1998 =

2000

Total workers in 2000 =

2400

For each category, calculate workers as:

\text{Workers} = \text{Percentage} \times \text{Total}

The table below shows the number of workers in each category:

Category	1998	2000
P	$260$	$264$
Q	$360$	$600$
R	$300$	$384$
S	$480$	$480$
T	$440$	$432$
U	$160$	$240$
Total	$2000$	$2400$

In category S, the number of workers is

480

in both the years.

All other categories show different numbers in the two years.

Therefore, the required category is S.

Answer:

Option B: S

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