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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\operatorname{sin} \theta=\frac{4}{5}$, find the value of $\tan \theta-\operatorname{cot} \theta$.

Option 1: $\frac{5}{12}$

Option 2: $\frac{7}{9}$

Option 3: $\frac{7}{12}$

Option 4: $\frac{7}{8}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{7}{12}$


Solution :
$\sin\theta=\frac{AB}{AC}=\frac{4}{5}$
Let $AB = 4k$ and $AC = 5k$,
Using Pythagoras theorem,
$BC = \sqrt{AC^2-AB^2}= \sqrt{(5k)^2-(4k)^2}=3k$
Now,
$\tan\theta-\cot\theta$
$= \frac{4k}{3k}-\frac{3k}{4k}$
$= \frac{7}{12}$
Hence, the correct answer is $\frac{7}{12}$.

6 Views

Question : If $\tan A = \frac{10}{15}$, then what will be the value of $\cos^2 A$?

Option 1: $\frac{59}{269}$

Option 2: $\frac{49}{269}$

Option 3: $\frac{225}{325}$

Option 4: $\frac{169}{269}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{225}{325}$


Solution : Given, $\tan A = \frac{10}{15}$
⇒ $\tan^2 A = \frac{100}{225}$
⇒ $\sec^2 A -1=\tan^2 A= \frac{100}{225}$
⇒ $\sec^2 A = \frac{325}{225}$
⇒ $\cos^2 A = \frac{225}{325}$
Hence, the correct answer is $\frac{225}{325}$.

42 Views

Question : This festival was started by the Government of Nagaland in 2000 to encourage interaction among tribes and to promote the cultural heritage of the State. Identify the festival.

Option 1: Hornbill festival

Option 2: Nazu festival

Option 3: Gaan-Ngai festival

Option 4: Nuakhai festival

Team Careers360 15th Jan, 2024

Correct Answer: Hornbill festival


Solution : The correct option is the Hornbill Festival.

This festival is named after an Indian bird, the hornbill. It is celebrated by the Naga tribes. Each of the Naga tribes presents their unique customs and traditions during this festival. They perform various arts, dances, and

13 Views

Question : Select the correct active form of the given sentence.

Only home-cooked food is eaten by us.

Option 1: We eat only home-cooked food.

Option 2: We are eating only home-cooked food.

Option 3: We ate only home-cooked food.

Option 4: We have eaten only home-cooked food.

Team Careers360 21st Jan, 2024

Correct Answer: We eat only home-cooked food.


Solution : The correct choice is the first option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The structure of the

11 Views

Question : Which of the following countries is not a member of SAARC?

Option 1: Nepal

Option 2: Maldives

Option 3: China

Option 4: Afghanistan

Team Careers360 17th Jan, 2024

Correct Answer: China


Solution : The correct answer is China.

The South Asian Association for Regional Cooperation (SAARC) is a regional inter-governmental organisation that promotes economic and regional integration among eight South Asian nations. These member countries include Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka. SAARC

17 Views

Question : Where is the headquarters of the International Olympic Committee located 

Option 1: Italy

Option 2: Switzerland

Option 3: Belgium

Option 4: France

Team Careers360 14th Jan, 2024

Correct Answer: Switzerland


Solution : Correct Answer is Switzerland

Switzerland, the Olympic host country, is totally self-funded. Since 1915, Thomas Bach has served as President of the International Olympic Committee. This city was chosen by Pierre de Coubertin.
The International Olympic Committee's headquarters are located in one of Switzerland's towns,

126 Views

Question : Select the correct indirect form of the given sentence.

Ramita said, “I wish I didn’t have to meet my step-mother.”

Option 1: Ramita said she wished she hadn’t have to meet her step-mother.

Option 2: Ramita said she wished she didn’t meet her step-mother.

Option 3: Ramita said she wished she didn’t have to meet her step-mother.

Option 4: Ramita said she wished hadn’t met her step-mother.

Team Careers360 23rd Jan, 2024

Correct Answer: Ramita said she wished she didn’t have to meet her step-mother.


Solution : The correct choice is the third option.

When transforming direct speech into indirect speech, it is important to pay attention to the sequence of tenses.

In this case, the past tense "said" in the direct

78 Views

Question : Comprehension:

Read the following passage and answer the questions given after it.

Wetlands are amongst the most productive ecosystems on the Earth and provide many important services to human society. They exhibit enormous diversity according to their genesis, geographical location, water regime and chemistry, dominant species, and soil and sediment characteristics. Globally, the area extent of wetland ecosystems ranges from 917 million hectares (m ha) to more than 1275 m ha. One of the first widely used wetland classification systems, devised by Cowardin et al., 1979, categorised wetlands into marine (coastal wetlands), estuarine (including deltas, tidal marshes, and mangrove swamps), lacustrine (lakes), riverine (along rivers and streams), and palustrine ( marshes, swamps and bogs) based on their hydrological, ecological and geological characteristics.The 

The Ramsar Convention on Wetlands was an international treaty signed in 1971. Overall, 1052 sites in Europe; 289 sites in Asia; 359 sites in Africa; 175 sites in South America; 211 sites in North America; and 79 sites in the Oceania region have been identified as Ramsar sites or wetlands of International importance. As per the Ramsar Convention definition most of the natural water bodies (such as rivers, lakes, coastal lagoons, mangroves, peat land, coral reefs) and man-made wetlands (such as ponds, farm ponds, irrigated fields, sacred groves, salt pans, reservoirs, gravel pits, sewage farms and canals) in India constitute the wetland ecosystem distributed in different geographical regions ranging from Himalayas to Deccan plateau. As of February 2022, India has 49 Ramsar sites covering an area of 10,93,636 hectares, the highest in South Asia. As per the estimates, India has about 757.06 thousand wetlands with a total wetland area of 15.3 m ha, accounting for nearly 4.7% of the total geographical area of the country. Out of this, areas under inland wetlands account for 69%, coastal wetlands 27%, and other wetlands (smaller than 2.25 ha) 4%. Gujarat has the highest proportion (17.5%) and Mizoram has the lowest proportion (0.66%) of the area under wetlands. Among Union Territories, Lakshadweep has the highest proportion (around 96%) and Chandigarh has the lowest proportion (3%) of the geographical area under wetlands.

Question:

Which of the following questions cannot be answered after reading the above passage?

Option 1: How many Ramsar sites are there in the world?

Option 2: What is the classification of wetlands?

Option 3: Why are wetlands important for human societies?

Option 4: How much area is covered by wetlands In India?

Team Careers360 16th Jan, 2024

Correct Answer: Why are wetlands important for human societies?


Solution : The correct choice is the third option.

The passage provides information about wetlands, their classification, Ramsar sites, and the extent of wetlands in India, but it does not specifically discuss the reasons why wetlands are important for human

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