Correct Answer: 2

Solution : Given: $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$
⇒ $a^2=b+c$, $b^2=c+a$, and $c^2=a+b$
Now, $\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$
Multiplying the numerator and denominator of the first, second, and third term by $a$, $b$, and $c$ respectively.
$=\frac{2a}{a+a^2}+\frac{2b}{b+b^2}+\frac{2c}{c+c^2}$
$=\frac{2a}{a+b+c}+\frac{2b}{b+a+c}+\frac{2c}{c+a+b}$
$=\frac{2a+2b+2c}{a+b+c}$
$=\frac{2(a+b+c)}{a+b+c}$
$=2$
Hence, the correct answer is 2.

Correct Answer: $\frac{5}{2}$

Solution : Given: $x^4+y^4+x^2 y^2=17 \frac{1}{16}$..........................(1)
$x^2-x y+y^2=5 \frac{1}{4}$..........................(2)
⇒ $x^4 + y^4 + x^2y^2 = (x^2 - xy + y^2) (x^2 + xy + y^2)$
⇒ $17\frac{1}{16} = 5\frac{1}{4} (x^2 + xy + y^2)$
⇒ $\frac{273}{16} = \frac{21}{4} (x^2 + xy + y^2)$
⇒ $x^2 +

Correct Answer: Shy due to lack of confidence.

Solution : The correct choice is the fourth option.

Shy due to lack of confidence: This accurately reflects the meaning of diffident. It describes someone who is hesitant or lacking in self-assurance, often appearing shy or reserved due to

Correct Answer: 45

Solution : Let the average marks of the remaining 30 students be $p$.
So, $65=\frac{(30×85)+(30×p)}{60}$
⇒ $65 × 60 = 2550 + 30p$
⇒ $3900 = 2550 + 30p$
⇒ $30p = 3900 – 2550$
⇒ $p=\frac{1350}{30}$
$\therefore p=45$
Hence, the correct answer is 45.

Correct Answer: presidential

Solution : The answer is presidential.

The system based on individual leadership is presidential. In a presidential system, the head of state is also the head of government, and they are elected separately from the legislative branch.

Correct Answer: want to win

Solution : The correct choice is the fourth option.

The subject (the boys and the teacher) is plural, and therefore, the verb used should also be in the plural form, that is, want to maintain the subject-verb agreement.

The correct sentence is: The boys and

Correct Answer: FASTER

Solution : The correct answer is FASTER.

Fast and Secured Transmission of Electronic Records: The Indian Supreme Court has implemented the Fast and Secured Transmission of Electronic Records (FASTER) electronic system, which allows it to securely transmit its important rulings to investigative and correctional authorities.

Correct Answer: Government of India Act, 1919

Solution : The correct answer is the Government of India Act, of 1919

The Montagu-Chelmsford Reforms established the Dyarchy system in British India's provinces. The Montagu-Chelmsford Reforms, commonly known as the Government of India Act of 1919, were used to execute this change.

Correct Answer: Pandit Hariprasad Chaurasia

Solution : The correct answer is Pandit Hariprasad Chaurasia.

Flute player Hariprasad Chaurasia is well-known in India. He is a member of the classical Hindustani tradition. He is a classical flautist and music director from India who plays the bansuri in the Hindustani classical

Correct Answer:

Duck – billed platypus

Solution : The correct option is  duck-billed platypus

The duck-billed platypus (Ornithorhynchus anatinus) is a unique mammal native to Australia. It is one of only five extant species of monotremes, which are mammals that lay eggs instead of giving birth. The other four monotreme