Tag: math & puzzles

To solve this problem, let's set up the given conditions mathematically.

Let's assume the first natural number is represented by "x" and the second natural number is represented by "y".

According to the given condition, the sum of two times the first natural number and three times the second natural number is less than 24:

2x + 3y < 24

Next, we are given the additional condition that the first natural number is less than or equal to eight:

x ≤ 8

To find the highest possible value for the second natural number, we need to maximize the value of "y" while still satisfying the given conditions.

Let's consider the maximum value for the first natural number, which is 8. Substituting this value into the inequality, we have:

2(8) + 3y < 24 16 + 3y < 24 3y < 24 - 16 3y < 8

Simplifying, we have:

y < 8/3

Since "y" must be a natural number, the highest possible value for "y" is the largest natural number less than 8/3, which is 2. Therefore, the highest value for the second natural number is 2.

However, this conflicts with the given options. It seems there might be an error in the question or the answer choices. Please double-check the question and options provided.

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• Wrong explanation

To solve this question, we can use the concept of percentages and the relationship between the original sale and the reduced sale.

Let's assume the previous sale was 'x' rupees.

According to the question, a reduction of 20% is given on clothes. This means the reduced sale is 80% of the original sale. So, the reduced sale will be 0.8x rupees.

It is also mentioned that the reduced sale increased by 30% to become 26,000 rupees. So, we can set up the equation: 0.8x + 0.3(0.8x) = 26,000.

Now, let's solve this equation to find the value of x.

0.8x + 0.3(0.8x) = 26,000 0.8x + 0.24x = 26,000 1.04x = 26,000 x = 26,000 / 1.04 x = 25,000

Therefore, the previous sale was 25,000 rupees.

The correct answer is option A) 25000.

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• Wrong explanation

To determine the correct answer, let's compare the given number with each of the options:

Option A) 1231111123 - This option is incorrect because it is different from the given number. The last digit is changed from '3' to '2'.

Option B) 1231111213 - This option is correct because it matches the given number exactly. There are no changes.

Option C) 1231112213 - This option is incorrect because it is different from the given number. The fifth digit is changed from '1' to '2'.

Option D) 1233111213 - This option is incorrect because it is different from the given number. The second digit is changed from '2' to '3'.

Therefore, the correct answer is B) 1231111213, as it matches the given number exactly.

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• Wrong explanation