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Correct Answer: – 62739

Solution : $(y-\frac{1}{y})=-9$
Squaring on both sides,
⇒ $(y-\frac{1}{y})^2=(-9)^2$
⇒ $y^2+\frac{1}{y^2}-2×y×\frac{1}{y}=(-9)^2$
⇒ $y^2+\frac{1}{y^2}= 81+2= 83$
Squaring on both sides,
$(y^2+\frac{1}{y^2})^2$ = $83^2$
⇒ $y^4+\frac{1}{y^4}+2 = 6889$
⇒ $y^4+\frac{1}{y^4} = 6887$
⇒ $(y-\frac{1}{y})(y^4+\frac{1}{y^4})$ = $(y^5-\frac{1}{y^5}-y^3+\frac{1}{y^3})$
⇒ $-9×6887 = (y^5-\frac{1}{y^5}-(y^3-\frac{1}{y^3}))$
⇒ $-9×6887 = [y^5-\frac{1}{y^5}-(y-\frac{1}{y})(y^2+\frac{1}{y^2}+y×\frac{1}{y})]$
⇒ $-61983 = [y^5-\frac{1}{y^5}-(-9)(83+1)]$

Correct Answer: 10

Solution : Given that the interior angle of a regular polygon exceeds its exterior angle by 180$^\circ$.
For a regular polygon, each exterior angle = $\frac{360^\circ}{n}$
And each interior angle = $\frac{180^\circ\times (n-2)}{n}$
So, $\frac{180^\circ\times (n-2)}{n}-\frac{360^\circ}{n}=108^\circ$
Or, $180^\circ\times n-108^\circ\times n=720^\circ$
Or, $n=10$
Hence, the correct answer is

Correct Answer: –3240

Solution : Given:
x % y = y² – x², x $ y = x + y², x # y = 2xy
((13 % 5) $ 6) # 15 = ?

After replacing the coded signs, the new equation will be as

Correct Answer: ACFJOU

Solution : Let's check the options –
First option: ACFJOU
⇒ A + 2 = C; C + 3 = F; F + 4 = J; J + 5 = O; O + 6 = U
This option follows the given pattern.
Second option: JLNPOQ
⇒ J

Correct Answer: 403

Solution : Given:
40, 43, 52, 79, 160, ?

Add thrice the difference of the previous number, to get the next number –
40 + 3 = 43;
43 + (3 × 3) = 43 + 9 = 52;
52 + (9 × 3) = 52 +

Correct Answer: 21%

Solution : The correct option is 21%.

According to the chemical formula of ammonium sulphate (NH₄)₂SO₄), each molecule of ammonium sulphate includes two ammonium ions (NH⁴⁺). One nitrogen atom (N) is present in each ammonium ion (NH⁴⁺).

Correct Answer: 54

Solution : Given:
ICE is coded as 20, and HOT is coded as 46.

Add 3 in the sum of the position values of each letter of ICE to obtain the required code –
I→9; C→3; E→5
Now, add all the position values and then add 3

Correct Answer: assured

Solution : The correct choice is the fourth option.

Explanation: "Assured" means to give confidence or certainty to someone, and it accurately conveys the idea that the captain is providing reassurance to the passengers about their safety.

The meanings of the other options are as follows:

Suggested:

Correct Answer: 5 : 10 : 125

Solution : Let's check the given options –
First option: (2 : 5 : 8)→((2 × 2) + 1) = 4 + 1 = 5; (2)³ = 8
Second option: (5 : 10 : 125)→((5 × 2) + 1) = 10 +

Correct Answer: Rubing

Solution : The fourth option is the correct answer.

The correct spelling is "rubbing", not "rubing", which means the act of applying pressure with a repeated back-and-forth motion.

The meanings of the other options are as follows:

• Shocker means something surprising or shocking; a person or thing