Staff Selection Commission Combined Graduate Level Exam
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: $\frac{17}{15}$
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 $\frac{8}{15}$.
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
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
Question :
Goitre is cause by deficiency of
Option 1:
Iodine
Option 2:
Chlorine
Option 3:
Sodium
Option 4: Calcium
Correct Answer:
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
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
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.
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
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
Question : As of 2023, Which of the following schemes is available to people in the age group of 18 to 50 years and provides risk coverage of 2 lakh in case of death of the insured, due to any reason, at an annual premium of 436?
Option 1: Pradhan Mantri Jeevan Jyoti Bima Yojana (PMJJY)
Option 2: Pradhan Mantri Suraksha Bima Yojana (PMSBY)
Option 3: Pradhan Mantri Shram Yogi Maan-Dhan Yojana (PM-SYM)
Option 4: Pradhan Mantri Vaya Vandana Yojana (PMVVY)
Correct Answer: Pradhan Mantri Jeevan Jyoti Bima Yojana (PMJJY)
Solution : The correct answer is Pradhan Mantri Jeevan Jyoti Bima Yojana (PMJJY).
Pradhan Mantri Jivan Jyoti Bima Yojana is a government-backed life insurance scheme that was introduced in May 2015 by Prime Minister Narendra Modi in Kolkata. As of 2023,
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
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.
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
Correct Answer: TENDER
Solution : Given:
First option: TOURIST;
All the letters of the above word are present in the given word RESURRECTIONIST.
Second option: NOISE;
Third option: SORCERER;
All the letters of the above
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
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.
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
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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