Correct Answer: $4\sqrt5$

Solution : Given: ABCD is a square whose side is 4 cm. P is a point on the side AD.

Let P be the midpoint of AD and draw a line from P parallel to DC which divides BC at Q into two equal parts.
Applying Pythagoras

Correct Answer: stand down

Solution : The correct answer is in option four.

The correct sentence is: "She decided to stand down as the competition was quite stiff."

Stand down means to withdraw from a competition or position. In this context, it means that the speaker decided to withdraw from

Correct Answer: 10: 07: 12 a.m

Solution : 48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
So, LCM = 2 × 2 × 2 ×

Correct Answer: 2

Solution : Given: $\sqrt{\frac{1+x}{x}}-\sqrt{\frac{x}{1+x}}=\frac{1}{\sqrt6}$
Squaring both sides
⇒ $\left(\sqrt{\frac{1+x}{x}}-\sqrt{\frac{x}{1+x}}\right)^{2}=\left(\frac{1}{\sqrt6}\right)^{2}$
⇒ $\frac{1+x}{x} +\frac{x}{1+x}-2=\frac{1}{6}$
⇒ $\frac{1+x}{x} +\frac{x}{1+x}=\frac{13}{6}$
⇒ $\frac{1+x^{2}+2x+x^{2}}{x+x^{2}}=\frac{13}{6}$
⇒ $6+6x^{2}+12x+6x^{2}=13x+13x^{2}$
⇒ $6+12x^{2}+12x=13x+13x^{2}$
⇒ $x^{2}+x-6=0$
⇒ $x^{2}+3x-2x-6=0$
⇒ $x(x+3)-2(x+3)=0$
⇒ $(x+3)(x-2)=0$
⇒ $x=-3, 2$
From the given options we can say that the value of $x$ is 2.
Hence,

Correct Answer: HYERQPA

Solution : Given:
The code for CERTAIN is ECTRCGP and the code for DIGITAL is FGIGVYN.

Add and subtract 2 alternatively from the place values of each letter of CERTAIN, to get the code –
C + 2 = E; E – 2 = C; R +

Correct Answer: 70

Solution : $a^3 + b^3 + c^3 - 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ac)$.
Given that:
$(a+b+c)=14$ and $\left(a^3+b^3+c^3-3 a b c\right)=98$
So, $98 = 14(a^2+b^2+c^2-ab-bc-ac)$
⇒ $(a^2+b^2+c^2) = 7+ ab + bc + ac$...(i)
We know that, $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ac)$...(ii)
From equation (i),

Correct Answer: Pushkar Singh Dhami

Solution : The correct answer is Pushkar Singh Dhami.

On July 3, 2021, BJP MLA Pushkar Singh Dhami was sworn in as the new Chief Minister of Uttarakhand.

Dhami spent ten years volunteering with the Rashtriya Swayamseva Sangh (RSS) and being a member of

Correct Answer: Virus

Solution : The correct option is virus.

The poliovirus, a kind of enterovirus, causes polio. It is largely a nerve system disorder that can result in paralysis. Chickenpox, on the other hand, is caused by the herpesvirus family's varicella-zoster virus (VZV). It creates a highly contagious skin

Correct Answer: 24 September 2020

Solution : The correct answer is 24 September 2020.

On September 24, 2020, Prime Minister Narendra Modi incorporated a group of chosen fitness enthusiasts in the inaugural session of the 'Fit India Dialogue' as a component of the 'Fit India Movement.' Among the participants

Correct Answer: Emulate

Solution : The first option is the correct choice.

The verb follow means to act according to an instruction or person. Emulate means to strive to imitate the qualities of someone you admire, often for self-improvement.

The meanings of the other options are as follows:

• Admire: