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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\sin \theta=\frac{8}{17}$, then find the value of $\tan \theta$.

Option 1: $\frac{15}{17}$

Option 2: $\frac{8}{15}$

Option 3: $\frac{15}{8}$

Option 4: $\frac{17}{15}$

Team Careers360 9th Jan, 2024

Correct Answer: $\frac{8}{15}$


Solution : Given: $\sin \theta=\frac{8}{17}=\frac{\text{perpendicular}}{\text{hypotenuse}}$
Let $\text{perpendicular}=8k$ and $\text{hypotenuse}=17k$, where $k$ is a non zero constant.
Using Pythagoras theorem,
$\small\text{Hypotenuse}^2=\text{Perpendicular}^2+\text{Base}^2$
⇒ $(17k)^2=(8k)^2+\text{Base}^2$
⇒ $\text{Base}^2=289k^2-64k^2$
⇒ $\text{Base}^2=225k^2$
⇒ $\text{Base}=15k$
So, $\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$
⇒ $\tan\theta = \frac{8k}{15k}=\frac{8}{15}$
Hence, the correct answer is $\frac{8}{15}$.

14 Views

Question : Directions: Mithilesh said to Neha, "Your only brother's son is my wife's brother". How is Neha related to the wife of Mithilesh?

Option 1: Aunt

Option 2: Mother-in-law

Option 3: Sister

Option 4: Mother

Team Careers360 14th Jan, 2024

Correct Answer: Aunt


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, Neha is the aunt of Mithilesh's wife. Hence, the first

20 Views

Question :

Goitre is cause by deficiency of
 

Option 1:

Iodine

Option 2:

Chlorine

Option 3:

Sodium

 

Option 4: Calcium

Team Careers360 16th Jan, 2024

Correct Answer:

Iodine


Solution : The correct option is Iodine.

Goitre is typically caused by a lack of iodine in the diet, which causes the thyroid gland to try to generate more thyroid hormone, resulting in enlargement. Goitre can cause a variety of health issues, including hormone abnormalities and swallowing

16 Views

Question : In which of the following years was the Indian National Congress split into two groups named Moderates and Extremists?

Option 1: 1895

Option 2: 1899

Option 3: 1907

Option 4: 1904

Team Careers360 24th Jan, 2024

Correct Answer: 1907


Solution : The correct answer is 1907.

The split between moderates and extremists within the Indian National Congress occurred during the Surat Session of 1907. The division emerged due to ideological differences and varying approaches towards achieving political goals.

39 Views

Question : Study the graph carefully.
The imports in 1974 were approximately how many times that of the year 1971?

Option 1: 3.75

Option 2: 3

Option 3: 2.5

Option 4: 3.5

Team Careers360 24th Jan, 2024

Correct Answer: 3.75


Solution : Given: Imports in 1974 = 6000 (thousand tonnes)
Imports in 1971 = 1600 (thousand tonnes)
Let imports in 1974 are k times than imports in 1971. Then,
According to the question,
⇒ 6000 = k × 1600
⇒ k = $\frac{6000}{1600}$
⇒ k = 3.75

19 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The life of a mosquito is ___ but very active.

Option 1: long

Option 2: passive

Option 3: brief

Option 4: important

Team Careers360 20th Jan, 2024

Correct Answer: brief


Solution : The correct choice is the third option.

Explanation:

Brief: It accurately conveys that a mosquito's life is short, which is the main point of the sentence.

The meanings of the other options are as follows:

Long: This option is the opposite of the intended meaning.

12 Views

Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.

RESURRECTIONIST

Option 1: TOURIST

Option 2: NOISE

Option 3: SORCERER

Option 4: TENDER

Team Careers360 22nd Jan, 2024

Correct Answer: TENDER


Solution : Given:

RESURRECTIONIST

First option: TOURIST;

All the letters of the above word are present in the given word RESURRECTIONIST.

Second option: NOISE; 

All the letters of the above word are present in the given word RESURRECTIONIST.

Third option: SORCERER; 

All the letters of the above

12 Views

Question : Direction: In the following question, find the odd letter from the given alternatives.

Option 1: BS

Option 2: EV

Option 3: IZ

Option 4: DX

Team Careers360 17th Jan, 2024

Correct Answer: DX


Solution : Let's check the options–

Option first:    BS

B – 9 = S

Option second:    EV

E – 9 = V

Option third:    IZ

I – 9 = Z

Option fourth:    DX

D – 6 = X

The fourth option is different from the other three.

24 Views

Question : 25% of A's annual salary is equal to 80% of B's annual salary. The monthly salary of B is 40% of C's monthly salary. If C's annual salary is Rs. 6 lakhs, what is the monthly salary of A?

Option 1: Rs. 60,000

Option 2: Rs. 62,000

Option 3: Rs. 64,000

Option 4: Rs. 56,000

Team Careers360 7th Jan, 2024

Correct Answer: Rs. 64,000


Solution : Given: 25% of the annual salary of A is equal to 80% of the annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lakhs.
C's annual salary =

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