Correct Answer:

Solution : When the given folded paper is unfolded, it will look like –

Hence, the first option is correct.

Correct Answer: QSROXIV

Solution : Given:
PLACARD is written as TPEYEVH. 

Subtract four from the middle letter of the word and add four in the rest of the other letters.

Thus, PLACARD is coded as TPEYEVH.
Similarly, by following the same pattern for MONSTER –

Thus, MONSTER is coded as QSROXIV. Hence, the third option is correct.

Correct Answer: 37.5%

Solution : Given:
The cost price (CP) of 10 articles is equal to the selling price (SP) of 16 articles.
Let the CP of each article = Re. 1
Then, CP of 16 articles = Rs. 16
SP of 16 articles = CP of 10 articles = Rs. 10
Loss = CP of 16 articles – SP of 16 articles = 16 – 10 = Rs. 6
$\therefore$ Loss percentage = $\frac{6}{16}$ × 100 = 37.5%
Hence, the correct answer is 37.5%.

Correct Answer: Trisulphur

Solution : The correct option is Trisulfur

Trisulfur, often represented as S3, is not an allotrope of carbon. Trisulfur refers to a molecule composed of three sulfur atoms, while allotropes of carbon include forms like diamond, graphite, graphene, carbon nanotubes, and fullerenes, among others. Carbon allotropes have different structural arrangements of carbon atoms, giving them distinct physical and chemical properties.

Correct Answer: 10 km, East

Solution : According to the instructions given, the diagram is as follows –

Here, A is the starting point and B is the finishing point and AB is the total distance from the starting point.

AC = 25 km; BC = ED = 15 km; CD = BE = 30 km
And, AB = AC – BC = 25 – 15 = 10 km

So, the distance between point B and point A is 10 and is in the East direction. Hence, the fourth option is correct.

Correct Answer: 1

Solution : Given expression,
$x^4+x^{-4}=47$
⇒ $x^4+\frac{1}{x^4}=47$
Adding 2 on both sides,
⇒ $x^4+\frac{1}{x^4}+2=47+2$
⇒ $x^4+\frac{1}{x^4}+2\times x^2\times\frac{1}{x^2}=49$
⇒ $(x^2+\frac{1}{x^2})^2=7^2$ [As $a^2+b^2+2ab=(a+b)^2$]
⇒ $x^2+\frac{1}{x^2}=7$
Again adding 2 on both sides,
⇒ $x^2+\frac{1}{x^2}+2=7+2$
⇒ $x^2+\frac{1}{x^2}+2\times x\times\frac1x=9$
⇒ $(x+\frac1x)^2=3^2$
⇒ $x+\frac1x=3$
⇒ $x+\frac1x-2=3-2$
$\therefore x+\frac1x-2=1$
Hence, the correct answer is 1.

Correct Answer: that

Solution : The fourth option is the correct answer.

That in the sentence indicates that the dog being referred to is identical to the one that was previously seen running on the road.

The prepositions whose, who, and whom are relative pronouns used to refer to people and not animals and are hence incorrect.

Therefore, the complete sentence is: This is the same dog that was running on the road.

Correct Answer: 2 hours

Solution : Amount of work done by A and B in 1 hour = $\frac{2}{9}$
Amount of work done by B and C in 1 hour = $\frac{1}{3}$
Amount of work done by A and C in 1 hour = $\frac{4}{9}$
Adding all the equations, we have:
⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2}{9}+\frac{1}{3}+\frac{4}{9}$
⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2+3+4}{9}=1$
⇒ (A + B + C)'s 1 hour work = $\frac{1}{2}$
(A + B + C) can finish $\frac{1}{2}$ work in 1 hour.
(A + B + C) can finish the total work in 2 hours.
Hence, the correct answer is 2 hours.

Correct Answer: 2

Solution : The given figure can be labeled as shown below –

There are 2 quadrilaterals in the above figure. They are ABFE and ABCE.

Hence, the first option is correct.

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.