Staff Selection Commission Combined Graduate Level Exam
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: $\frac{7}{8}$
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 $\frac{7}{12}$.
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: $\frac{169}{269}$
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 $\frac{225}{325}$.
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
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
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.
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
Question : Which of the following countries is not a member of SAARC?
Option 1: Nepal
Option 2: Maldives
Option 3: China
Option 4: Afghanistan
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
Question : Where is the headquarters of the International Olympic Committee located
Option 1: Italy
Option 2: Switzerland
Option 3: Belgium
Option 4: France
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,
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
My uncle and mentor are helping me.
(1) mentor is
(2) mentors have
(3) mentors are
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The first option is the correct improvement for the sentence.
In this sentence, there is a subject-verb agreement issue. The subject is considered singular as the uncle and mentor are referred to as the same person. So, it should be followed by a singular verb
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (12, 8, 80) (16, 10, 131)
Option 1: (11, 5, 55)
Option 2: (13, 4, 160)
Option 3: (14, 12, 126)
Option 4: (9, 6, 54)
Correct Answer: (9, 6, 54)
Solution : Given: (12, 8, 80); (16, 10, 131)
In the given sets, divide the second number by 2, then subtract the cube of the result from the square of the first number. (12, 8, 80)→8 ÷ 2 = 4; {(12)2 – (4)3
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.
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
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?
Correct Answer: Why are wetlands important for human societies?
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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