Test Index

MAT Exam 2021 Paper

Question Numbers: 141-145

DIRECTIONS (Qs. 141-145) : Study the following graph to answer these questions.

The following pie-chart shows the percentage number of candidates passed in XYZ examination from States A, B, C, D, E and F of a country in 2005. The bar-graph shows the percentage of fresh candidates who passed their graduation in 2005.

Question : 142 of 200

Marks: +1, -0

If in 2005, total number of freshers from state D was 160 , then how many non-fresher candidates passed the exam from state E ?

1408
1588
1398
1203

Validate

Solution:

Concept:

Use the pie-chart percentages for total passed candidates and the bar-graph percentages for freshers to find the non-fresher candidates from state E.

Explanation:

Freshers from state D are

160

, and they form

25\%

of total passed candidates from state D.

So, total passed candidates from state D =

\frac{160 \times 100}{25} = 640

From the pie-chart, state D has

10\%

of the total candidates passed from all states.

Therefore, total candidates passed from all states =

\frac{640 \times 100}{10} = 6400

State E has

25\%

of the total, so candidates passed from state E =

\frac{25 \times 6400}{100} = 1600

From the bar-graph, only

12\%

of candidates from state E are freshers.

Thus, non-fresher candidates from state E =

(100 - 12)\% = 88\%

1600

Required number =

\frac{88 \times 1600}{100} = 1408

Answer:

1408

, i.e. option A.

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