Correct Answer: Husband’s sister

Solution : Given:
A – B ⇒ A is the mother of B
A * B ⇒ A is the sister of B
A % B ⇒ A is the husband of B
A & B ⇒ A is the son of B

As per the

Correct Answer: 11

Solution :
Given, AB = AD = 7 cm, and AC = AE, and BC = 11 cm
$\angle BAC = \angle DAE$ (vertically opposite angles)
In the given figure, $\frac{AB}{BC}=\frac{AD}{ED}$
So, $\triangle ABC \cong \triangle ADE$ [by Side-Angle-Side criteria]
⇒ $ED = BC = 11$ cm

Correct Answer: 91

Solution : Given:
7 : 13 :: 16 : 31 :: 46 : ?

Like, 7 : 13→7 × 2 = 14; 14 – 1 = 13
16 : 31→16 × 2 = 32; 32 – 1 = 31
Similarly, for 46 : ?→(46 × 2) =

Correct Answer: 42 – 29 

Solution : Let's check the options –
First option: 73 – 61→73 – 61 = 12
Second option: 57 – 69→69 – 57 = 12
Third option: 47 – 59→59 – 47 = 12
Fourth option: 42 – 29

Correct Answer: 2

Solution : Given: $a^2 + b^2 + c^2 = 9$ and $ab + bc + ca = 8$
We know, $(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)$
⇒ $(a+b+c)^2=9+2\times 8$
⇒ $(a+b+c)^2=9+16$
⇒ $a+b+c=\sqrt{25}=5$
$\therefore$ $(a+b+c)-3 = 5-3 = 2$
Hence, the correct answer is 2.

Correct Answer: Machiavelli

Solution : The correct option is Machiavelli.

Niccol Machiavelli (1469-1527), an Italian philosopher, is credited with coining the term "state" in its contemporary connotation. He describes the state in his book The Prince as "a political unit that is sovereign and has a monopoly on the legitimate

Correct Answer: 52

Solution : $x^4+\frac{1}{x^4}=194$
Adding 2 on both sides,
⇒ $x^4+\frac{1}{x^4}+2=194+2$
⇒ $(x^2+\frac{1}{x^2})^2=196$
Taking square root on both sides,
⇒ $x^2+\frac{1}{x^2}=14$
Adding 2 on both sides,
⇒ $x^2+\frac{1}{x^2}+2=14+2$
⇒ $(x+\frac{1}{x})^2=16$
Taking square root on both sides,
⇒ $x+\frac{1}{x}=4$
⇒ $(x+\frac{1}{x})^3=4^3$
⇒ $x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=64$
⇒ $x^3+\frac{1}{x^3}+3×4=64$
⇒ $x^3+\frac{1}{x^3}=64-12 = 52$

Correct Answer: A

Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, A is the grandmother of E. Hence, the first option

Correct Answer: 94265

Solution : Given:

ANCIENT is coded as 2516859 and NATURE is coded as 529048

The code of letters in the given word ANCIENT is A → 2; N → 5; C → 1; I → 6; E → 8; N→ 5; T → 9

The code of

Correct Answer: erected

Solution : The correct choice is the second option.

Explanation: In the context of building structures, especially after a disaster like a fire, the term erected is the most fitting as it refers to the construction or building of new structures. In the aftermath of the