Correct Answer: 209

Solution : Given:
164, 172, 145, ?, 84

Add and subtract the cube of the consecutive natural numbers (starting from 2) alternatively from the previous term to get the next term in the series.

So, 209 is the missing term in the series. Hence, the first option

Correct Answer: 11 cm

Solution : Given: The radius of a circle = 1.75 cm
Circumference of the circle = $2\pi r=2\times\frac{22}{7}\times 1.75=44 × 0.25=11\ \text{cm}$
Hence, the correct answer is 11 cm.

Correct Answer: advanced

Solution : The third option is the correct answer.

The word cosmetically suggests that the blank should be filled with an adjective that describes the level of development or sophistication in the field of cosmetics. Advanced is an adjective that fits well in this context, indicating that

Correct Answer: Midnight’s Children

Solution : The correct answer is Midnight’s Children.

Ruskin Bond is an Indian author of British descent. Roads to Mussoorie, Blue Umbrella, and The Room on the Roof are the well-known works of Ruskin Bond. Midnight’s Children is a novel written by Salman Rushdie. Ruskin Bond

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

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 =

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

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;

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