Correct Answer: –1

Solution : Given: $\frac{3\left(\cot ^2 47^{\circ}-\sec ^2 43^{\circ}\right)-2\left(\tan ^2 23^{\circ}-\operatorname{cosec}^2 67^{\circ}\right)}{\operatorname{cosec}^2\left(68^{\circ}+\theta\right)-\tan \left(\theta+61^{\circ}\right)-\tan ^2\left(22^{\circ}-\theta\right)+\cot \left(29^{\circ}-\theta\right)}$
= $\frac{3\left(\cot ^2(90^{\circ}- 43^{\circ})-\sec ^2 43^{\circ}\right)-2\left(\tan ^2 23^{\circ}-\operatorname {cosec^2} (90^{\circ}-23^{\circ})\right)}{\sec^2\left(90^{\circ}-(68^{\circ}+\theta)\right)-\cot \left(90^{\circ}-(\theta+61^{\circ})\right)-\tan ^2\left(22^{\circ}-\theta\right)+\cot \left(29^{\circ}-\theta\right)}$
= $\frac{3\left(\tan ^243^{\circ}-\sec ^2 43^{\circ}\right)-2\left(\tan ^2 23^{\circ}-\sec^2 23^{\circ}\right)}{\sec^2\left(22^{\circ}-\theta\right)-\cot \left(29^{\circ}-\theta\right)-\tan ^2\left(22^{\circ}-\theta\right)+\cot \left(29^{\circ}-\theta\right)}$
= $\frac{(3× -1)-(2×(-1))}{1}$
= $\frac{-3+2}{1}$
= $-1$
Hence, the

Correct Answer: 68

Solution : The correct answer is 68.

Mendeleev organized the elements in ascending order of relative atomic mass, placing them nearby based on their similarities. The relative atomic mass for each element was determined by averaging the masses of its constituent isotopes. He assigned atomic masses of

Correct Answer: Cartography

Solution : The correct option is - Cartography

Cartography is the study and practice of creating maps of the entire or a portion of the world (in Greek, chartis means "map" and graphein "write").  The practice of creating maps through design, construction, and production is known as

Correct Answer: Increase in money supply and decrease in production

Solution : Correct Answer: Increase in money supply and decrease in production

It is an unavoidable phenomenon as an economy grows. When inflation surpasses the typical rate, it is harmful to the economy.Production bottlenecks also result in a lack of

Correct Answer: (1)

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

The preposition "for" is incorrect in this context. Instead, "of" should be used, as the preposition shows association.

Therefore, the correct sentence would be: The minister of education vehemently refused the allegation that he had

Correct Answer: MGB

Solution : Given:
QML, PRC, OWT, NBK, ?

In the given series, subtract 1 and 9 from the place value of the first and third letters, and add 5 to the place value of the second letter of the previous term to get the next term.
QML→Q

Correct Answer: Uttarakhand

Solution : The correct answer is Uttarakhand.

Uttarakhand, an Indian state, has coniferous trees. The northern Indian state of Uttarakhand is renowned for its varied, and beautiful scenery, which includes high-altitude areas home to coniferous forests.

Correct Answer: 162

Solution : Given:
7, 12, 22, 42, 82, ?

Here, the pattern is, that the number added is multiplied by 2 in every step.

7 + 5 = 12; 12 + 10 = 22; 22 + 20 = 42; 42 + 40 = 82; 82 + 80

Correct Answer: a living community and its environment.

Solution : The correct option is a living community and its environment..

An ecosystem is made up of both living things and the physical setting in which they live. These elements interact with one another through a variety of connections and procedures

Correct Answer: Calcium sulphate

Solution : The correct option is calcium sulphate.

Plaster of Paris is a substance made of calcium sulphate hemihydrate. Plaster of Paris reacts chemically with water to create calcium sulphate dihydrate, which hardens over time and can be used for setting and casting broken bones.