Correct Answer: 2

Solution : The error lies in the second part of the sentence.

The phrasal verb "look forward to" is followed by a gerund, which is a verb form ending in (-ing). Gerunds are used as nouns. In this sentence, the gerund "meeting" is the object of the phrasal verb "look forward to".

The correct sentence should be: "They are looking forward to meeting their parents."

Correct Answer: Sister

Solution : According to the given information, the family tree will be –

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

So, from the above family tree, it is clear that the girl is the sister of Rajan. Hence, the first option is correct.

Correct Answer: Stones, trees and animals 

Solution : Correct Answer is Stones, trees and animals 

There is evidence that the people of the Indus Valley Civilization practiced animal, stone, and nature worship.Numerous stone phallic, vulva, and bull figures identical to Hinduism's prominent symbols have been discovered. Some archaeologists and historians believe that the Indus religion was the forerunner to Hinduism. The bull was the Hindu god Shiva's mount. In 1931, John Marshall listed the following as important aspects of the Indus religion, a Great Male God and a Mother Goddess, animal deification or devotion.

Correct Answer: Puthandu

Solution : The correct answer is Puthandu.

In Tamil Nadu, the Tamil New Year, known as Puthandu or Chithirai Thirunaal, is celebrated as the New Year. It usually falls on April 14th or 15th each year, depending on the Tamil calendar.

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 : 110 is given which is not correct.

Option second:

⇒ 18 x 5 + 5 = 95

But here , 18 : 190 is given which is not correct.

Option third:

⇒ 15 x 5 + 5 = 80

But here , 15 : 225 is given which is not correct.

Option fourth:

⇒ 20 x 5 + 5 =105 

Here, 20 : 105 is given which is correct.

Hence, option fourth is correct.

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 this symbol as part of the competition.

Correct Answer: Apostate

Solution : The correct choice is the third option.

An apostate is a person who renounces or abandons religious belief.

The meanings of the other options are as follows:

• Egotist: It refers to a person who is excessively self-centered or egotistical.

• Priest: It refers to a religious leader or clergy member.

• Atheist: It refers to a person who does not believe in the existence of god or gods.

Correct Answer: 80

Solution : Principal, $P = 50000$
Term, $n = 1$ year
Rate, $R = 8$%
When compounded half-yearly,
Compound Interest, CI = $P(1+\frac{R}{200})^{2n}-P$
= $50000 × (1+\frac{8}{200})^2 - 50000$
= $50000 × (\frac{208}{200})^2 - 50000$
= $50000 × (\frac{26}{25})^2 - 50000$
= $50000 × \frac{676}{625} - 50000$
= $54080 - 50000$
= $4080$
When compounded annually,
Compound Interest, CI = $P(1+\frac{R}{100})^{n}-P$
= $50000 × (1+\frac{8}{100})^1 - 50000$
= $50000 × \frac{8}{100}$
= $4000$
So, the required difference $=4080 - 4000=$ INR $80$
Hence, the correct answer is 80.

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 volume of the cylinder in litres = 199584 × 0.001 litre = 199.584 litres
Hence, the correct answer is 199.6 litres.

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$6² + 5²
5²$\neq$3² + 2²
12² + 5² = 144 + 25 = 169 = 13²
So, 13 : 12 : 5 is the ratio of the sides of a right-angled triangle.
Hence, the correct answer is 13 : 12 : 5.