Correct Answer: 1

Solution : Let the required number be $x$.
For third proportional of $9-x$ and $13-x$, $(9-x):(13-x)::(13-x):18$
So, $\frac{(9-x)}{(13-x)}=\frac{(13-x)}{18}$
⇒ $18\times (9-x)=(13-x)^2$
⇒ $162-18x=169-26x+x^2$
⇒ $x^2-8x+7=0$
⇒ $(x-1)(x-7)=0$
⇒ $x=1,2$
Since we need the smallest number, $x=1$
Hence, the correct answer is 1.

Correct Answer: Iodine

Solution : The correct option is Iodine.

Iodine comes from a variety of sources, including sea algae. Iodine may be accumulated by marine algae, often known as seaweed, from the seawater in which they grow. Iodine derived from seaweed is utilised in a variety of purposes, including

Correct Answer: Gopal Krishna Gokhale

Solution : The correct answer is Gopal Krishna Gokhale.

He participated in the Indian Independence Movement against the British Empire as one of the social, and political leaders. In each of his budget-related speeches before the Central Legislative Council, he employed in-depth statistical analysis. Gopal

Correct Answer: Hydrated aluminium silicate

Solution : The correct option is Hydrated aluminium silicate.

Zeolites are hydrated aluminosilicate minerals. They are distinguished by their three-dimensional crystalline structure made of aluminium, silicon, and oxygen atoms. Zeolites are valuable in a variety of industrial applications because their structure incorporates voids and

Correct Answer: $6\sqrt{3}\;\mathrm{cm}$

Solution :

Let the three circles form an equilateral triangle $\triangle \mathrm{ABC}$ with each side equal to the diameter of a circle, which is $12\;\mathrm{cm}$.
$\mathrm{BC = BD + DC = 6 + 6 }=12\;\mathrm{cm}$
The altitude $(h)$ of an equilateral $\triangle \mathrm{ABC}$,
$h =  \frac{\sqrt{3}  a}{2}$

Correct Answer: Crop plants

Solution : The correct answer is Crop plants.

Agronomy is the science of growing crops and plants that provide us food, fibre, oil, medicinal resources and other essentials. It covers everything from managing soil and breeding plants to dealing with pests and understanding plant growth. Agronomists

Correct Answer: (25, 68, 111)

Solution : Given:
(71, 114, 157); (36, 79, 122)

Here, (71, 114, 157)→114 – 71 = 43; 43 + 114 = 157
(36, 79, 122)→79 – 36 = 43; 43 + 79 = 122

Let's check the options –
First option: (52, 95, 137)→95 –

Correct Answer: 4

Solution : We know that, (N x T) ÷ W = Constant, where N = number of people doing the work, W = amount of work done, and T = time taken to finish the work.

It is given that 4 cats can kill 4 rats in

Correct Answer: are required to succeed in life

Solution : The correct choice is the second option.

In the sentence, we are dealing with a compound subject, where honesty and discipline are connected by the phrase as well as. When forming a compound subject using as well as the

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
According to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear as