Correct Answer: 6.67%

Solution : Initial average marks of Division A = 75 marks
Decrease in marks of each student = 5 marks
So, the decrease in average marks = 5
Loss percentage = $\frac{5}{75}\times 100$ = 6.67%
Hence, the correct answer is 6.67%.

Correct Answer: Barack Obama

Solution : The correct answer is Barack Obama.

The book Audacity of hope is written by Barack Obama, former US president. It is the second book written by him in which he talks about reforming the ways of politics and to build together shared understandings that

Correct Answer: Ravinder Singh

Solution : The correct answer is Ravinder Singh.

I Too Had A Love Story marks Ravinder Singh's debut in the literary world, initially released in 2008. This autobiographical novel delves into Singh's journey through a romantic relationship, offering a poignant and heart-wrenching account of love, loss

Correct Answer: $2+\sqrt{3} \text{ and } 2-\sqrt{3}$

Solution : Given: $x^{2}+y^{2}=14$ -----------(i)
⇒ $x+y=4$ ----------------(ii)
Squaring on both sides of equation (ii),
$(x+y)^{2} = 4^{2}$
⇒ $x^{2}+y^{2}+2xy = 16$
⇒ $14+2xy = 16$
⇒ $2xy = 2$
Subtracting $2xy$ on both sides from equation (i)
$x^{2}+y^{2}-2xy = 14-2xy$
⇒ $(x-y)^{2}

Correct Answer: FHA

Solution : Let's check the options –
First option: DAH; D – 3 = A, A + 7 = H
Second option: IFM; I – 3 = F, F + 7 =M
Third option: ROV; R – 3 = O, O + 7 = V
Fourth option: 

Correct Answer: PRSQ

Solution : The correct choice is the third option.

Explanation:
Initially, the focus is on the direct influence of thyroid hormones (P), followed by an exploration of the relationship between hormone levels and ecological factors (R). This leads to an understanding of how diverse colour patterns

Correct Answer: RTNHQTB

Solution : Given:
VERBAL is written as KZAQDU.

On reversing the letters of VERBAL, we get→LABREV
Subtracting 1 from the place value of the reversed letters, we get –
L – 1 = K; A – 1 = Z; B – 1 = A; R – 1

Correct Answer: J. Chadwick

Solution : The correct option is J. Chadwick.

The neutron was discovered by Sir James Chadwick in 1932. Chadwick was a British physicist, and his discovery of the neutron provided crucial insight into the structure of the atom. Neutrons, along with protons, are subatomic particles found

Correct Answer: $\frac{5}{3}$

Solution :
Given: $\triangle$XYZ is right-angled at Y and $\cos X=\frac{3}{5}$
Since $\triangle$XYZ is right-angled at Y,
So, X + Z = 90°
⇒ X = 90° – Z
Now, $\cos X=\frac{3}{5}$
⇒ $\cos(90°–Z)=\frac{3}{5}$
⇒ $\sin Z=\frac{3}{5}$
$\therefore\operatorname{cosec}Z=\frac{5}{3}$ [$\because$ $\operatorname{cosec}Z=\frac{1}{\sin Z}$]
Hence, the correct answer is $\frac{5}{3}$.

Correct Answer: Nasiruddin Mahmud

Solution : The correct option is Nasiruddin Mahmud.

Nasiruddin Mahmud was one of the sultans of Delhi, to whom Ghiyas ud din Balban served as the naib (deputy). His reign marked the early phase of the Tughlaq dynasty's rule. Mahmud was initially a puppet ruler with