Correct Answer: 26075

Solution : Given: $P=2^2+6^2+10^2+14^2+....+94^2$ and $Q=1^2+5^2+9^2+...+81^2$
$⇒P-Q = (2^{2}-1^{2})+(6^{2}-5^{2})+(10^{2}-9^{2})+....+(82^{2}-81^{2})+86^{2}+90^{2}+94^{2}$
$⇒P-Q=3+11+19+27+.......+163(\text{A.P. with 21 terms})+86^{2}+90^{2}+94^{2}$
$⇒P-Q=\frac{21}{2}[2×3+(21–1)8]+86^{2}+90^{2}+94^{2}$
$⇒P-Q=\frac{21}{2}[6+(20)8]+86^{2}+90^{2}+94^{2}$
$⇒P-Q=\frac{21}{2}[166]+(90-4)^{2}+90^{2}+(90+4)^{2}$
$⇒P-Q=1743+(90^{2}-2×90×4+4^{2})+90^{2}+(90^{2}+4^{2}+2×90×4)$
$⇒P-Q=1743+8100+16+8100+8100+16$
$\therefore P-Q=26075$
Hence, the correct answer is 26075.

Correct Answer: INR 12,000

Solution : Let the principal be $\text{x}$.
We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $9600=\frac{\text{x × 16 × 5}}{100}$
⇒ $\text{x}=\frac{\text{9600 × 100}}{\text{16 × 5}}$
⇒ $\text{x}=12000$
Hence, the correct answer is INR 12000.

Correct Answer: $(a+b)^2(a–b)^2$

Solution : Let the mean proportion of $(a+b)(a-b)^3,(a+b)^3(a-b)$ be $x$.
Mean proportion of $A$ and $B$ = $\sqrt{A×B}$
⇒ $x=\sqrt{ (a+b)(a-b)^3 \times (a+b)^3(a-b)}$
⇒ $x = \sqrt{(a+b)^4 (a-b)^4}$
⇒ $x = (a+b)^2(a-b)^2$
Hence, the correct answer is $(a+b)^2(a-b)^2$.

Correct Answer: Plutonium

Solution : The correct option is Plutonium.

Plutonium-238, an Actinide discovered by Glenn T. Seaborg in 1940, is utilised as both a power source and a heat source for delicate electrical components in spacecraft. With thermoelectric generators, the heat generated during the radioactive breakdown of Pu-238 can

Correct Answer: 20 cm²

Solution :
The area of triangle GBC is one-third of the area of $\triangle ABC$.
Given that the area of $\triangle ABC$ is 60 cm².
The area of $\triangle GBC=\frac{1}{3} \times 60  = 20$ cm²
Hence, the correct answer is 20 cm

Correct Answer:

Solution : The embedded figure will have the same orientation as the main figure. Only the third option figure is embedded in the given figure.

Hence, the third option is correct.

Correct Answer:

Solution : Here, the pattern is as follows –
1. In each figure, the circle is rotating by 90° and also moving corner by corner in an anti-clockwise direction.
2. In each figure the arrow mark figure is rotating by 90° in a clockwise direction and moving side

Correct Answer: exhausted

Solution : The correct choice is the second option.

Exhausted is the word that describes someone who feels extremely tired after a long day of work, as it directly conveys the idea of physical fatigue and weariness.

The meanings of the other options are as follows:

Correct Answer: 22

Solution : Given: PQ = 10 cm, QL = 5 cm, YL = 3 cm, and LX = (x + 3) cm.
LQ × LP = LY × LX
Placing the values in the above formula,
5 × 15 = 3 × (x + 3)
⇒ 75

Correct Answer: (–2, 0)

Solution : At an x-intercept, y = 0.
So, 3x + 0 = – 6
Solving for x,
⇒ 3x = – 6
⇒ x = – 2
So, the required intercept point = (–2, 0)
Hence, the correct answer is (–2, 0).