Correct Answer: 7 hours

Solution : Downstream speed of a boat = 25 km/hr
Distance travelled downstream = 100 km
$\therefore$ Time taken to travel downstream = $\frac{100}{25}$ = 4 hours
Speed of a stream = 3 km/hr
The upstream speed of the boat = 25 – (2 × 3)

Correct Answer: rumen

Solution : The correct option is rumen.

Bacteria in the rumen aid in the digestion of cellulose in ruminants, such as cattle. In ruminants, the rumen is the first region of the stomach. It is home to a diverse range of microorganisms, including fungi, bacteria, and

Correct Answer: Uttar Pradesh

Solution : The correct answer is Uttar Pradesh.

Uttar Pradesh is the leading Sugarcane producer in India and is home to most of sugar industry. India is the largest producer of sugar in the world and it is followed by Brazil, Thailand, China, and USA. Globally,

Correct Answer: Both a and b

Solution : The correct option is Both a and b.

In Bihar, Sonepur is a town close to Patna on the banks of the Gandak River. It is well-known for hosting the biggest cattle fair in India, the Sonepur Mela, which is held

Correct Answer: 40.625

Solution : Given:
Distance = 234 km = 234000 m
Time = 1.6 hr = 1.6 × 60 × 60 = 5760 s
The average speed is given by the formula:
Speed = $\frac{\text{Distance}}{\text{Time}}$
Speed = $\frac{234000}{5760} = $ 40.625 m/s
Hence, the correct answer is 40.625.

Correct Answer: Khan Abdul Ghaffar Khan

Solution : The correct answer is Khan Abdul Ghaffar Khan.

Frontier Gandhi was the term used to describe Khan Abdul Ghaffar Khan. Bacha Khan was another name for him. He was a Pashtun independence fighter who fought to eradicate and put an end

Correct Answer: $130^{\circ}$ and $100^{\circ}$

Solution : In a cyclic quadrilateral, the sum of each pair of opposite angles is $180^{\circ}$.
$⇒\angle A + \angle C = 180^{\circ}$
$⇒\angle B + \angle D = 180^{\circ}$
Given that $\angle A = 50^{\circ}$ and $\angle B = 80^{\circ}$
$\therefore\angle C = 180^{\circ}

Correct Answer: Z

Solution : The correct option is Z.

In the given equation representing the relationship between the size of an area (A) and the number of species present (S) in the context of ecology,

log S = log C + Z log A

The regression coefficient is denoted

Correct Answer: 252

Solution : Given that $a + b + c = 6$ and $a^2+b^2+c^2=40$,
$(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ac)$.
$⇒6^2 = 40 + 2(ab+bc+ac)$
$⇒ab+bc+ac = -2$
$a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)$
$⇒a^3+b^3+c^3-3abc=6 \times (40 +2)$
$⇒a^3+b^3+c^3-3abc=6 \times 42 $
$⇒a^3+b^3+c^3-3abc=252 $
Hence, the correct answer is 252.

Correct Answer: $27:23$

Solution : Given $a:b=3:7$
Let $a=3k$ and $b=7k$ for some constant $k$.
Now, $(2 a+3 b):(3 a+2 b)$
$=\{2(3k)+3(7k)\}:\{3(3k)+2(7k)\}$
$=(6k+21k):(9k+14k)$
$=27k:23k$
$=27:23$
Hence, the correct answer is $27:23$.