Test Index

MAT Exam 2020 Paper

Question Numbers: 121-125

DIRECTIONS (Qs.121-125): Study the following table to answer these questions.

The following table gives the number of candidates Appeared (App.) and Qualifies (Quali.) in ABC entrance examination from different zones (I - IV in different years from 2006-2011)

Zone	I		II		III		IV		V		VI
Year	App.	Quali.	App.	Quali.	App.	Quali.	App.	Quali.	App.	Quali.	App.	Quali.
2006	2989	575	2490	530	2540	—	2534	440	1008	130	2698	498
2007	2438	590	2899	520	2384	—	2653	450	1103	160	2798	610
2008	7534	608	2840	532	2053	—	2234	480	1143	190	2848	580
2009	6524	650	3600	560	2143	510	2468	500	1198	220	3008	490
2010	8746	632	3608	544	2340	—	2549	560	1208	240	2948	560
2011	8429	648	5432	612	2230	588	2630	580	1203	238	3048	534

Question : 123 of 200

Marks: +1, -0

Ratio between boys and girls for qualified and for appeared from zone IV in 2009 are

7: 3

and

3: 2

respectively. What is the approximate ratio between the boys qualified and girls appeared?

2:13
13:19
1:28
1:50

Validate

Solution:

Concept:

Use the given gender ratios to split the actual qualified and appeared candidates for Zone IV in 2009.

Explanation:

From the table, for Zone IV in 2009:

Total qualified

=500

and total appeared

=2468

Boys qualified

= \frac{7}{7+3} \times 500 = 350

Girls appeared

= \frac{2}{3+2} \times 2468 = \frac{2}{5} \times 2468 = 987.2 \approx 987

So, boys qualified : girls appeared

= 350 : 987.2 \approx 350 : 987

This is approximately

7 : 19.74

, which is about

7 : 20

1 : 2.82

This does not match any of the given options.

The ratio

13:19

shown in the existing solution is not obtained from the correct calculation.

Answer:

The approximate ratio is

350 : 987.2 \approx 7 : 20

Hence, none of the listed options is correct.

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