Correct Answer: $2$

Solution : We know that $\text{sin}(90^{\circ} - \theta)= \cos \theta$
$\frac{\cos 20^{\circ}}{\sin 70^{\circ}}+\frac{\cos \theta}{\sin \left(90^{\circ}-\theta\right)}$
= $\frac{\cos 20^{\circ}}{\sin (90^{\circ}-20^{\circ})}+\frac{\cos \theta}{\cos \theta}$
= $\frac{\cos 20^{\circ}}{\cos (20^{\circ})}+\frac{\cos \theta}{\cos \theta}$
= 1 + 1
= 2
Hence, the correct answer is $2$.

Correct Answer: CABD

Solution : The correct option is the second option.

Explanation: 

• C. Neck pain is a frequent problem among many people these days.
• A. Poor posture may strain neck muscles, whether you're leaning over your computer or hunching over your workstation.
• B. However, neck pain may occasionally be

Correct Answer: any factor 

Solution : The correct option is any factor,

The Modern Theory of Rent states that rent accrues to the owner of a factor of production when supply is fixed or constrained in comparison to demand. According to this view, rent is a surplus generated because of

Correct Answer: silk weavers

Solution : The correct answer is silk weavers.

Silk weavers, the Pattanulkars, went from Gujarat to Vijayanagara. The Pattanulkars were a group of expert silk weavers from the Gujarat town of Patan. The Vijayanagara monarchs summoned them to Vijayanagara in the 15th century to assist in

Correct Answer: 8 : 9 : 12

Solution : We know that, profit = investment × time
So, investment = $\frac{\text{Profit}}{\text{Time}}$
Now, the ratio of their profit = 4 : 3 : 14
and the ratio of their time periods = 3 : 2 : 7
Therefore, the ratio of

Correct Answer: 112

Solution : Given: Ratio of number of boys and girls = 9 : 7
Total number of students = 256
Let the number of boys and girls in a parade of school be 9x and 7x, respectively.
So, the total number of students = 9x + 7x

Correct Answer: 1980 and 1981

Solution : It is obvious from the graph.
In the year 1981, it changed from 30 to 35 (Increase)
Percentage change in production = $\frac{5}{30} \times 100$ = 16.67% increase
In the year 1982, it changed from 35 to 20 (Decrease)
Percentage change in production

Correct Answer: 3

Solution : The third option is the correct choice.

The phrase if and but means condition, which is incorrect in this context. It should be replaced with ifs and buts, which refer to excuses and restrictions, as the proposal was composed of a lot of

Correct Answer: Rajya Sabha

Solution : The Correct Answer is-  Rajya Sabha

The second chamber of the Parliament, or Rajya Sabha, is the upper house. The Rajya Sabha, or Council of States in English, represents the states in the union legislature under the Indian federal system. Because of this, the

Correct Answer: TUTOR

Solution : Given: 

REPUTATION

Let's compare the given options –

First option: PONDER

All the letters of PONDER are not present in the word REPUTATION.

Second option: REQUIRE

All the letters of REQUIRE are not present in the word REPUTATION.

Third option: RETIRE

All the letters