Correct Answer: 24 m

Solution : Given: The area of a rectangular field = $480\ m^2$
Let the breadth be $10x$
Length is 20% more than breadth = $\frac{120}{100}\times10x$
$= 12x$
Area of the rectangle = length × breadth
⇒ $480 = 10x \times 12x$
⇒ $480 = 120x^2$
⇒

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

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

• Malkhed: The Rashtrakuta king Amoghavarsha I founded the city in the ninth century, and it later

Correct Answer: 42 km/hr

Solution : Given: Going speed = 30 km/hr
Returning speed = 70 km/hr
We know that,
$\text{Average speed} =\frac{2S_1S_2}{S_1+S_2}=\frac{2×30×70}{30+70}=42$ km/hr
Hence, the correct answer is 42 km/hr.

Correct Answer: in gametes

Solution : The correct option is in gametes.

Genes are not found in pairs in gametes. The specialised reproductive cells known as gametes, which include sperm, and egg cells, are haploid, meaning they have half as many chromosomes as the organism's diploid somatic (body) cells. The

Correct Answer: Casting vote

Solution : The correct option is Casting a vote.

In the event of a tie vote on both sides, the Chairman or Speaker of Lok Sabha may cast a vote to break the impasse. "Casting vote" or "Speaker's vote" are two terms used to describe

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

Solution :

In $\triangle ABC, \angle B=90^{\circ}$
AB : BC = 1 : 2
⇒ $\frac{\text{AB}}{\text{BC}} = \frac{1}{2}$
⇒ $\frac{\text{AB}}{1} = \frac{\text{BC}}{2}=$ k
⇒ AB = k, BC = 2k
Using the Pythagoras theorem,
AC$^2$ = BC$^2$ + AB$^2$ = (2k)$^2$ + k$^2$ = 5k$^2$
So,

Correct Answer: 24 years

Solution : By applying the formula: Amount = P[$(1+\frac{r}{100})^n$] where P is principal, $r$ is the rate of interest compounded annually for $n$ years.
Let the sum be $x$, then:
Amount = $x(1+\frac{r}{100})^6 = 3x$
⇒ $(1+\frac{r}{100})^6 = \frac{3x}{x}=3$
⇒ $(1+\frac{r}{100}) =3^\frac{1}{6}$
Now, the sum becomes

Correct Answer: Vitamin C

Solution : The correct option is Vitamin C.

Vitamin C, also known as ascorbic acid, is a water-soluble vitamin. This means it dissolves in water and is not stored in the body for long periods. Unlike fat-soluble vitamins (such as vitamins A, D, E and K),

Correct Answer: Rs. 21600

Solution : Principal, P = Rs. 12500
Rate of interest, $r$ = 20%
Time, $n$ = 3 years
According to the question,
Amount = P[$(1+\frac{r}{100})^n$], where P is principal, $r$ is the rate of interest compounded annually for $n$ years.
⇒ Amount = 12500$(1+\frac{20}{100})^3$
= 12500$(\frac{6}{5})^3$

Correct Answer: Poignant

Solution : The first option is correct.

Poignant is an adjective that describes something that evokes a deep sense of sadness or regret, often with a mixture of sympathy and emotional intensity.
Pungent refers to a strong, sharp smell or taste and does not convey the specific