Correct Answer: 22

Solution : Given: $a + b + c = 0$ and $ab + bc + ca = -11$
We know,
$(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$
$⇒0^2 = a^2 + b^2 + c^2 + 2(-11)$
$\therefore

Correct Answer: August

Solution : The correct option is August.

Hiroshima Day is observed on August 6 each year to commemorate the nuclear bombing of Hiroshima, Japan, in 1945. During World War II, America nuked Hiroshima. It resulted in widespread destruction; thousands of people were killed instantly, and many

Correct Answer: Mahadev Govind Ranade

Solution : The correct answer is Mahadev Govind Ranade.

Justice Mahadev Govind Ranade (1842-1901) founded the "Widow Marriage Association" in 1861 to promote and endorse widow remarriage. He was also known as Justice Ranade.

Correct Answer: $\frac{22}{5}$

Solution : Given,
$3 \tan \theta=4$
⇒ $\tan\theta=\frac43=\frac{\text{Perpendicular}}{\text{Base}}$
Using the Pythagoras theorem,
$\small\text{Hypotenuse}^2=\text{Perpendicular}^2+\text{Base}^2$
⇒ $h^2=4^2+3^2$
⇒ $h^2=16+9$
⇒ $h^2=25$
⇒ $h=5$
We know, $\sin\theta=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$ and $\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}$
⇒ $\sin\theta=\frac{4}{5}$ and $\cos\theta=\frac35$
So, $7 \sin \theta-2 \cos \theta=7\times\frac{4}{5}-2\times\frac{3}{5}=\frac{28}{5}-\frac{6}{5}=\frac{22}{5}$
Hence, the correct answer is $\frac{22}{5}$.

Correct Answer: Rajasthan and Madhya Pradesh

Solution : The correct option is Rajasthan and Madhya Pradesh.

Founded in 1954, the Chambal Valley project is a joint venture on the Chambal River between Rajasthan and Madhya Pradesh. In 1953–1954, Rajasthan and Madhya Pradesh launched a joint venture to begin the

Correct Answer: send

Solution : The correct choice is the third option.

The sentence mentions that glutamate is normally used to send signals from nerve cells. "Send" is a term that aligns with the function of transmitting or relaying signals, which is the primary role of glutamate in

Correct Answer: a-iii, b-ii, c-i, d-iv

Solution : The correct answer is a-iii, b-ii, c-i, d-iv.

Five different types of writs can be issued by the Supreme Court or the High Court to enforce the fundamental rights of Indian citizens. These are Habeas Corpus, Mandamus, Quo-Warranto, Prohibition, and Certiorari.

Correct Answer:

Solution : According to the given figure series, the slant line is rotated in the anti-clockwise direction, corner by corner with new elements. 
So, following the above pattern, the required figure will be –

Hence, the second option is correct.

Correct Answer: Brazil

Solution : The correct option is Brazil.

The inaugural match of the 2022 FIFA U-17 Women's World Cup took place between Morocco and Brazil. This edition marked the 7th instalment of the multinational international women's youth football championship, which features the under-17 national teams of FIFA member

Correct Answer: BDHPF

Solution : Let's check the option –
First option: BDFIJ; B + 2 = D; D + 2 = F; F + 3 = I; I + 1 = J
Second option: DGJLM; D + 3 = G; G + 3 = J; J + 2 =