Correct Answer: 8

Solution : We have,
$(2x+y)^2=(2x)^2+y^2+2\times 2x \times y$
$⇒(2x+y)^2=(4x^2+y^2)+4xy$
$⇒(2x+y)^2=40+4\times 6$
$⇒(2x+y)^2=64$
$⇒2x+y=\pm \sqrt{64}$
$⇒2x+y=\pm 8$
The positive value is 8.
Hence, the correct answer is 8.

Correct Answer: Fraudulent

Solution : The correct choice is the second option.

The adjective spurious means to be fake or false. Fraudulent means involving deceit, dishonesty, or deception to deceive or gain an unfair advantage.

The meanings of the other options are as follows:

• Effective: Producing the desired result

Correct Answer: 4

Solution : The sentence is already correct and does not need any improvement.

Therefore, the correct answer is the fourth option.

Correct Answer: (5, 9)

Solution : Given: The point (5, –3) in the line y = 3.
A point (x, y) that is reflected over the line y = a will have the relationship (x, y) between its actual and image coordinates, [x, (2a – y)].
The reflection of the

Correct Answer: The doctor said, “We have performed our bit."

Solution : The correct choice is the third option.

Direct speech is a form of speech or writing where the actual words spoken by a person are quoted within quotation marks and attributed to the speaker.

The steps of

Correct Answer: The plan has been adopted by you.

Solution : The correct choice is the fourth option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in

Correct Answer: 16 cm

Solution : Volume of a cube = 4096 cm³
So, (side)³ = 2¹²
Side = $\sqrt[3]{2^{12}}$ = 2⁴ = 16 cm
Hence, the correct answer is 16 cm.

Correct Answer: 8.33 percent

Solution : Rate of interest = $r$
Time = $r$
Let the sum value be $x$, then Simple Interest will be:
Simple Interest = $\frac{(x \times r \times r)}{100}$
⇒ $(\frac{25}{36})x = \frac{(x \times R^2)}{100}$
⇒ $(\frac{25}{36}) = \frac{(r^2)}{100}$
⇒ $r^2 = (\frac{25 \times 100}{36})$
⇒

Correct Answer: 55$^\circ$

Solution :
Given, a cyclic quadrilateral $ABCD$ with $AB$ as a diameter
And, $\angle DBC=35^\circ$
We know, $\angle ACB=90^\circ$ (angle in semicircle)
In $\triangle BEC$,
$\angle ECB+\angle EBC+\angle BEC=180^\circ$
or, $\angle BEC=180^\circ-90^\circ-35^\circ$
So, $\angle BEC=\angle AED = 55^\circ$ (vertically opposite angle)
Hence, the correct answer is 55$^\circ$.

Correct Answer:

Solution : Properties of a dice –
1. Opposite faces of a dice cannot appear or hide together. 
2. Sides of the opposite faces of a dice cannot touch each other.
Rules to find out the opposite faces of a dice when two or more positions of the