Arithmetic

Percentages

Conceptual

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

For Class X:

Total students = $30$ $30$
- Students with first division = $24$
- Percentage = $\frac{24}{30} × 100 = 80\%$

For Class Y:

Total students = $35$ $35$
- Students with first division = $28$
- Percentage = $\frac{28}{35} × 100 = 80\%$

Analyzing Statement I:

Class X has $80\%$ $80%$ first division
- Class Y has $80\%$ first division
- Therefore, Class X does NOT have more percentage
- Statement I is false

Analyzing Statement II:

Both classes have $80\%$ $80%$ first division
- Therefore, both classes have equal percentage
- Statement II is true

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

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A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

JIPMAT 2026

Match the LIST-I with LIST-II

	LIST-I (Expression)		LIST-II (Value)
A.	$(550\%\text{ of }250) \div 275$	I.	129.58
B.	$38\%\text{ of }341$	II.	231.6
C.	$15\%\text{ of }578+22.5\%\text{ of }644$	III.	156.8
D.	$140\%\text{ of }56+56\%\text{ of }140$	IV.	5

Choose the correct answer from the options given below:

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$(\frac{4}{7})$ of a pole is in the mud. When $(\frac{1}{3})$ of the pole is pulled out, 250 cm is still in the mud. The length of the pole is

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Successive discounts of $p\%$ and $q\%$ on an invoice is the same as a single discount of

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If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the same number will be :-

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Choose the correct answer from the options given below:

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