JIPMAT 2024 (QA) - Given below are two statements : class ' X ' of 30 students, 24 passed in first division; in another class ' Y ' of 35 students, 28 passed in first division. I : Class ' X ' has more percentage of students getting first division. II : Both classes have equal percentage of students getting first division. | PYQs + Solutions

JIPMAT 2024

Arithmetic

Percentages

Easy

Given below are two statements :
In class ' $X$ ' of 30 students, 24 passed in first division; in another class ' $Y$ ' of 35 students, 28 passed in first division.
Statement I : Class ' $X$ ' has more percentage of students getting first division.
Statement II : Both classes have equal percentage of students getting first division.

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Option: 4

1) For Class X:

\newline

- Total students =

30

\newline

- Students with first division =

24

- Percentage =

\frac{24}{30} × 100 = 80\%

2) For Class Y:

\newline

- Total students =

35

\newline

- Students with first division =

28

\newline

- Percentage =

\frac{28}{35} × 100 = 80\%

3) Analyzing Statement I:

\newline

- Class X has

80\%

first division

\newline

- Class Y has

80\%

first division

\newline

- Therefore, Class X does NOT have more percentage

\newline

- Statement I is false

4) Analyzing Statement II:

\newline

- Both classes have

80\%

first division

\newline

- Therefore, both classes have equal percentage

\newline

- Statement II is true

Therefore, Statement I is false but Statement II is true.