Correct Answer: 40 metres

Solution : Speed of P = $\frac{1 \;km}{120\;sec}$
= $\frac{1000}{120}$ m/s
= 8.33 m/s
Speed of Q = $\frac{1 \;km}{125 \;sec}$
= $\frac{1000}{125}$ m/s
= 8 m/s
Distance covered by Q in 120 seconds = 8 × 120 = 960
P beat Q by (1000 –

Correct Answer: fungus

Solution : The correct option is fungus.

The fungus Penicillium notatum or Penicillium chrysogenum can be used to produce penicillin, an antibiotic. Penicillin is an antibiotic that prevents pathogenic bacteria from forming cell walls, preventing the growth of harmful bacteria in the process. Eukaryotic organism, which includes

Correct Answer: 512

Solution : Let's check the options –
First option: 512; 512 is not a perfect square of any natural number.
Second option: 841; 841 is the perfect square of 29.
Third option: 576; 576 is the perfect square of 24.
Fourth option: 289; 289 is the perfect

Correct Answer: 18

Solution : Use: Use the following formula to solve the question:
$(y+\frac{1}{y})^3=y^3+\frac{1}{y^3}+3(y+\frac{1}{y})$
⇒ $y^3+\frac{1}{y^3}=(y+\frac{1}{y})^3-3(y+\frac{1}{y})$
⇒ $y^3+\frac{1}{y^3}=3^3-3×3$
⇒ $\frac{1}{y^3}+y^3 = 18$
Hence, the correct answer is 18.

Correct Answer: Rs. 540

Solution : Let the cost price of the article be $x$.
An article is sold at a gain of 15%.
So, selling price of the article = $\frac{115}{100}×x$
Had it been sold for Rs. 27 more, then the selling price would be, $\frac{115}{100}×x+27$
If the profit

Correct Answer: National Waterway 1

Solution : The correct answer is National Waterway 1.

In 1986, the river system comprising the Ganga, Bhagirathi, and Hooghly between Haldia (Sagar) and Prayagraj was designated as a National Waterway-1 (NW-1). With a length of 1620 km, National Waterway 1 is the longest

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

Explanation: The article "a" should be replaced with "the" in the sentence, after the noun, that is, Shakespeare, a well-known personality in English literature. So, the definite article "the" should be used here to

Correct Answer: $23030 \sqrt{23}$

Solution : Given, $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
$\left(x+\frac{1}{x}\right)^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}=25\times 2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=50-2$
⇒ $x^2+\frac{1}{x^2}=48$
Subtracting 2 from both sides, we get,
⇒ $(x-\frac{1}{x})^2=48-2$
⇒ $(x-\frac{1}{x})^2=46$
⇒ $(x-\frac{1}{x})=\sqrt{46}$
Now consider, $\left(x^6-\frac{1}{x^6}\right)$
We know, $a^2-b^2=(a-b)(a+b)$
$=(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$
Also, $a^3+b^3=(a+b)(a^2-ab+b^2)$ and

Correct Answer: agendas

Solution : The correct choice is the first option.

Explanation: The word agendas in this context emphasises that there are underlying intentions or purposes behind the content and interactions on social media, and individuals should be aware of these motives when engaging with the platform and its

Correct Answer: Vitamin D

Solution : The correct answer is Vitamin D.

Our bodies produce vitamin D when exposed to sunlight. The human skin's epidermal layer is where vitamin D is primarily synthesised when exposed to sunlight. The human body needs vitamin D to absorb calcium and phosphorus, both of