Staff Selection Commission Combined Graduate Level Exam
Question : Name the longest lake in India.
Option 1: Pangong Lake
Option 2: Pulicat Lake
Option 3: Kolleru Lake
Option 4: Vembanad Lake
Correct Answer: Vembanad Lake
Solution : The correct answer is Vembanad Lake.
Vembanad Lake is the longest lake in India. It is a Ramsar site, and Kumarakom Bird Sanctuary is located on the east coast of this lake. It is also known as Vembanad Kayal, Vembanad Kol, Punnamada Lake,
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
He has made a (1) / mistake of (2) / which I am certain. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is correct.
There is no error in the sentence.
Explanation:
The sentence is grammatically correct. It conveys that the speaker is confident about something related to the mistake without specifying the exact nature of that certainty.
Question : The constitution of India was adopted on
Option 1: 26 January,1950
Option 2: 26 January,1949
Option 3: 26 November,1949
Option 4: 31 December,1949
Correct Answer: 26 November,1949
Solution : Correct Answer is 26 November,1949
In India, the day the Indian Constitution came into force is commemorated and celebrated as Republic Day. The Constitution establishes a parliamentary system of government and a federal system of government with some unitary components. This became the nation's
Question : Identify and correct the INCORRECTLY spelt word in the given sentence.
Successful people often have a role modal who inspired them to greatness.
Option 1: greatness
Option 2: successful
Option 3: inspired
Option 4: modal
Correct Answer: modal
Solution : The incorrectly spelt word in the sentence is the fourth option.
The correct spelling is model. In the context of the sentence, a "role model" refers to a person who serves as an example or inspiration for others.
The meanings of other options are as
Question : Which Charter Act brought to an end, the East India Company's monopoly in India's foreign trade ?
Option 1: Charter Act of 1853
Option 2: Charter Act of 1793
Option 3: Charter Act of 1813
Option 4: Charter Act of 1833
Correct Answer: Charter Act of 1813
Solution : The Correct Answer is Charter Act of 1813
This charter act from 1813 maintained the Crowns' control over the British companies in India. Trade in opium, tea, and goods from China persisted even after their monopoly over every other company was broken.
Question : Simplify the following. $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$
Option 1: $1+\sin \alpha \cos \alpha$
Option 2: $\tan \alpha$
Option 3: $1-\sin \alpha \cos \alpha$
Option 4: $\sec \alpha$
Correct Answer: $1-\sin \alpha \cos \alpha$
Solution : $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$ = $\frac{(\sin \alpha+\cos \alpha)(\sin^2 \alpha+\cos^2 \alpha–\sin \alpha\cos \alpha)}{\sin \alpha+\cos \alpha}$ = $(1–\sin \alpha\cos \alpha)$ [$\because \sin^2 \alpha+\cos^2 \alpha=1]$ Hence, the correct answer is $(1–\sin \alpha\cos \alpha)$.
Question : $\cos^3 60°-\cos^3 240°-\cos^3 360°=$ _________.
Option 1: $-\frac{3}{4}$
Option 2: $-\frac{7}{5}$
Option 3: $-\frac{3}{5}$
Option 4: $-\frac{9}{7}$
Correct Answer: $-\frac{3}{4}$
Solution : Given: $\cos ^3 60°-\cos ^3 240°-\cos ^3 360°$ Now, $\cos60°=\frac{1}{2}$ $\cos240°=\cos(180°+60°)=-\cos60°=-\frac{1}{2}$ $\cos360°=\cos(360°+0°)=\cos0°=1$ So, $\cos^3 60°-\cos^3 240°-\cos^3 360°$ = $(\frac{1}{2})^3-(-\frac{1}{2})^3-(1)^3$ = $\frac{1}{8}+\frac{1}{8}-1$ = $-\frac{3}{4}$ Hence, the correct answer is $-\frac{3}{4}$.
Question : There is a ratio of 5 : 4 between the two numbers. If 40 percent of the first number is 12, then 50% of the second number is:
Option 1: 12
Option 2: 24
Option 3: 18
Option 4: 20
Correct Answer: 12
Solution : Given: The ratio of two numbers = 5 : 4 Let the numbers be $5x$ and $4x$. 40% of the first number = 12 So, $\frac{40}{100}\times 5x=12$ $⇒x=6$ $\therefore$ The first number = 5 × 6 = 30 and the second number = 4 ×
Question : Which of the following is the smallest bird?
Option 1: Piegon
Option 2: Parrot
Option 3: Humming bird
Option 4: House sparrow
Correct Answer: Humming bird
Solution : The correct answer is Humming bird.
The bee hummingbird is the world's tiniest bird. Native of Cuba, the bird measures around 2 inches long and weighs approximately 0.07 ounces. It is so little that it is sometimes misidentified as an insect. Bee hummingbirds are
Question : Select the most appropriate indirect form of the given sentence. "Remove all the stains carefully and clean the windows," said the contractor to the worker.
Option 1: The contractor said to the worker that you should remove all the stains carefully and clean the windows.
Option 2: The contractor requested the worker to remove all the stains carefully and clean the windows.
Option 3: The contractor told the worker that by removing all the stains carefully, the windows will be cleaned.
Option 4: The contractor instructed the worker to remove all the stains carefully and clean the windows.
Correct Answer: The contractor instructed the worker to remove all the stains carefully and clean the windows.
The given sentence is in the direct speech. As it is a case of instruction, instructed is used in the indirect speech to report.
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