Correct Answer: $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$

Solution : Given: The numbers are $\frac{2}{3},\frac{3}{5},\frac{11}{15}$.
To find the greatest fraction, we have to find the LCM of denominators.
LCM of denominators $=$ LCM $(3,5,15)=(3\times 5)=15$
We have to make all denominators the same for comparison,
$\Rightarrow \frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$
$\Rightarrow \frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$
$\Rightarrow \frac{11}{15}\times \frac{1}{1}=\frac{11}{15}$
Now, by comparing numerators $(9<10<11)$.
So, we can say $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$.
Hence, the correct answer is $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$.

Correct Answer: Nephew

Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, Rajiv is the nephew of Sunil. Hence, the first option is correct.

Correct Answer: 6

Solution : According to the question, we have to determine the common region between cardboard and box but this region should not be common to white. In the diagram, the shaded part represents the region common to both cardboard and boxes only.

The number of cardboard boxes that are not white is 6. Hence, the first option is correct.

Correct Answer: Panch Mahal

Solution : The correct answer is Panch Mahal.

One of Fatehpur Sikri's most well-known structures is the Panch Mahal, also known as the Dream in Stone. It was constructed by Akbar. Akbar ordered the construction of the Panch Mahal, also known as the "Five Level Palace".The fact that this building, made of Sikri sandstone, is close to the Zenana quarters lends support to the idea that it was used for recreation and relaxation.

Correct Answer: 2

Solution : The correct option is the second option.

The original sentence has an error with the pronoun. "Me" should be replaced with "my". Here, "my" is used as a possessive adjective to indicate ownership or possession of the action, which is leaving the payment until next year.

Therefore, the correct sentence is," "Do you mind my leaving this payment until next year?"

Correct Answer: Rs. 8835

Solution : The customer purchases an article worth Rs. 10000 using a credit card.
After a flat discount of Rs. 500 the price of the article
= (10000 – 500)
= Rs. 9500
After a further discount of 7%, the price of the article becomes,
= $9500\times (\frac{100-7}{100})$
= Rs. 8835
Hence, the correct answer is Rs. 8835.

Correct Answer: Luckily, they did not use the machinery.

Solution : The second option is the correct choice.

Active voice is the voice where the subject performs the action. To convert a sentence from passive to active voice, we identify the subject performing the action and rephrase the sentence accordingly.

The structure of the negative sentence in the active voice in the case of simple past tense is: "Adverb + subject + did not + base form of the verb + object."

Therefore, the active sentence is: Luckily, they did not use the machinery.

Correct Answer: None of the conclusions follow

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): No L is W – From the Venn diagram, it is evident that some parts of the circle representing L lie outside the circle representing W while some lie inside. So, from this, it can be concluded that some L is W. Therefore, this conclusion does not follow.
Conclusion (II): No M is L – From the Venn diagram, it is evident that some parts of the circle representing M lie outside the circle representing L while some lie inside. So, from this, it can be concluded that some M is L. Therefore, this conclusion does not follow.
Conclusion (III): No M is W – From the Venn diagram, it is evident that some parts of the circle representing M lie outside the circle representing W while some lie inside. So, from this, it can be concluded that some M is W. Therefore, this conclusion does not follow.

So, none of the conclusions follow. Hence, the fourth option is correct.

Correct Answer: Solusion

Solution : The correct answer is in the third option.

The correctly spelled word is solution, which means a method to solve a problem or deal with a situation. The provided spelling makes incorrect use of consonants in the word.

Correct Answer: 5

Solution : LCM of 7 and 11 = 77
The number divisible by 7 and 11 both should be divisible by 77.
The required numbers are 77, 154, 231, 308, and 385 and the next number will be greater than 430.
Hence, the correct answer is 5.