Correct Answer: 20 : 105

Solution : Here, in the first pair–

9 : 50 ⇒ 9 x 5 + 5 = 50

Applying this same logic, in all the given alternatives we will get –

Option first:

⇒ 22 x 5 + 5 =115 

But here , 22 :

Correct Answer: Udaya Kumar

Solution : The correct option is Udaya Kumar.

Udaya Kumar Dharmalingam, an Indian graphic designer, created the new Indian currency symbol. In 2009, the Indian government held a public competition to identify a symbol that would serve as the rupee's international representation. He had created

Correct Answer: 80

Solution : Principal, $P = 50000$
Term, $n = 1$ year
Rate, $R = 8$%
When compounded half-yearly,
Compound Interest, CI = $P(1+\frac{R}{200})^{2n}-P$
= $50000 × (1+\frac{8}{200})^2 - 50000$
= $50000 × (\frac{208}{200})^2 - 50000$
= $50000 × (\frac{26}{25})^2 - 50000$
= $50000 × \frac{676}{625} - 50000$

Correct Answer: 199.6

Solution : Circumference of the circle of radius $r$ = $2\pi r$
⇒ $2\pi r = 158.4\ \text{cm}$
⇒ $r = 25.2\ \text{cm}$
Height of cylinder = 100 cm
Volume of cylinder = $\pi r^2h$
= $\frac{22}{7} × 25.2 × 25.2 × 100$
= $199584\ \text{cm}^3$
The

Correct Answer: 13 : 12 : 5

Solution : By Pythagoras theorem,
In a right-angled triangle, the sum of squares of the length of smaller sides = square of the length of the largest side.
By trial and error,
9²$\neq$6² + 3²
7²$\neq$6² 

Correct Answer: 3

Solution : According to the dice rule, if two or three positions of the same dice are given with two common faces but in different orientations, then out of those two common faces the faces that are not common are opposite to each other.
While considering Figures

Correct Answer: 13

Solution : Given: 
4 + 3 = 25 and 8 + 4 = 80

Like, 4 + 3 = 25→4² + 3² = 16 + 9 = 25
And, 8 + 4 = 80→8² + 4² = 64 + 16 = 80
Similarly,

Correct Answer: 5 years

Solution : The correct option is - 5 Years

The Secretary-General's present appointment is for a five-year term, with an option for a second five-year term. According to Article 97 of the Charter, the General Assembly appoints the Secretary General on the Security Council's proposal.

Correct Answer: Personal Income (PI) – Personal tax payments – Non-tax payments

Solution : The correct answer is Personal Income (PI) - Personal tax payments - Non-tax payments.

Disposable income, also known as disposable personal income, refers to the money left over after income taxes are deducted for household consumption,

Correct Answer: 20%

Solution : Kartik's marks = 80
Total marks = 80 + 90 + 75 + 70 + 85 = 400
Percentage required = $\frac{80}{400}$ × 100 = 20%
Hence, the correct answer is 20%.