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Staff Selection Commission Combined Graduate Level Exam

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Question : Name the longest lake in India.

Option 1: Pangong Lake

Option 2: Pulicat Lake 

Option 3: Kolleru Lake

Option 4: Vembanad Lake 

Team Careers360 21st Jan, 2024

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,

16 Views

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

Team Careers360 19th Jan, 2024

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.

6 Views

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

Team Careers360 19th Jan, 2024

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

33 Views

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

Team Careers360 15th Jan, 2024

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

16 Views

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

Team Careers360 23rd Jan, 2024

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.

12 Views

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: $\sec \alpha$

Team Careers360 23rd Jan, 2024

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 $(1–\sin \alpha\cos \alpha)$.

15 Views

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: $-\frac{9}{7}$

Team Careers360 22nd Jan, 2024

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 $-\frac{3}{4}$.

14 Views

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

Team Careers360 19th Jan, 2024

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 ×

14 Views

Question : Which of the following is the smallest bird?

 

Option 1: Piegon

Option 2: Parrot

Option 3: Humming bird

Option 4: House sparrow

Team Careers360 19th Jan, 2024

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

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