Staff Selection Commission Combined Graduate Level Exam
Question : In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of the chord PQ is:
Option 1: $2\sqrt{13}\;\mathrm{cm}$
Option 2: $5\sqrt{3}\;\mathrm{cm}$
Option 3: $4\sqrt{6}\;\mathrm{cm}$
Option 4: $6\sqrt{5}\;\mathrm{cm}$
Correct Answer: $4\sqrt{6}\;\mathrm{cm}$
Solution :
We have, $\mathrm{AX:BX = 3:2}$ and the radius of the circle is $5\;\mathrm{cm}$. $\mathrm{AX=\frac{3}{5} \times 10 = 6}\;\mathrm{cm}$ $\mathrm{BX=\frac{2}{5} \times 10 = 4}\;\mathrm{cm}$ We know the theorem states that the two chords of a circle intersect within the circle, the product of the segments of
Question : Which of the following is protected under Wildlife(Protection) Act,1972
Option 1: Porcupine
Option 2: Gerbil
Option 3: Bandicoot rat
Option 4: Squirrel
Correct Answer: Porcupine
Solution : The correct option is Porcupine.
Among the options given, the "porcupine" is protected in India under the Wildlife (Protection) Act of 1972. The porcupine is a Schedule II species under the Act, which means it is legally protected and killing or catching them without valid
Question : Directions: 14 notebooks of a class were corrected with ink pen while 22 notebooks were corrected with colour pencil. If 4 notebooks were corrected with both, what is the strength of the class?
Option 1: 30
Option 2: 32
Option 3: 28
Option 4: 25
Correct Answer: 32
Solution : Given: Notebooks corrected with ink pen = 14 Notebooks corrected with colour pencil = 22 Notebooks corrected with both = 4
So, the total number of students in class = 14 + 22 – 4 = 32
Hence, the second option is correct.
Question : 15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:
Option 1: $5\frac{5}{11}$
Option 2: $4\frac{3}{11}$
Option 3: $7\frac{2}{11}$
Option 4: $6\frac{4}{11}$
Correct Answer: $5\frac{5}{11}$
Solution : Time taken by 15 men to complete the work = 10 days ⇒ Part of work done by 15 men in a day = $\frac{1}{10}$ Time taken by 15 women to complete the work = 12 days ⇒ Part of work done by 15 women
Question : Select the correct indirect form of the given sentence.
My teacher says, "We must take care of our hygiene."
Option 1: My teacher says that we must take care of our hygiene.
Option 2: My teacher said they took care of their hygiene.
Option 3: My teacher said that we must be taking care of our hygiene.
Option 4: My teacher says that we took care of our hygiene.
Correct Answer: My teacher says that we must take care of our hygiene.
Solution : The correct choice is the first option.
Narration Conversion:
Therefore, the correct
Question : 'Pradhan Mantri Jan-Dhan Yojana' has been launched for:
Option 1: Promoting financial inclusion in the country.
Option 2: Providing loans to the poorest people in the country.
Option 3: Providing financial help to the marginalised community.
Option 4: Promoting women in backward areas.n
Correct Answer: Promoting financial inclusion in the country.
Solution : The correct answer is promoting financial inclusion in the country.
The purpose of this strategy was financial inclusion. As a result of this approach, India's financial inclusion has considerably improved. It has aided in the direct delivery of subsidies
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'no improvement required'.
None of the girl deserve to be selected for this award.
Option 1: None of the girl deserves
Option 2: no improvement required
Option 3: None of the girls are deserving
Option 4: None of the girls deserves
Correct Answer: None of the girls deserves
Solution : The correct choice is the fourth option.
The phrase none of the takes a plural noun followed by the plural form of the verb. Thus, girl should be replaced with girls to make the sentence grammatically accurate.
Therefore, the correct sentence
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The toddler has a habit of throwing tantrums.
(1) Expressing emotions
(2) Expressing frustrations
(3) Expressing happiness
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct answer is the fourth option.
The original sentence, "The toddler has a habit of throwing tantrums", is already clear and conveys the intended meaning. It means the toddler frequently becomes very angry and unreasonable, which is what throwing tantrums signifies.
Therefore, the given
Question : Select the most appropriate one-word substitution for the given words.
Act of giving up the throne
Option 1: Abdication
Option 2: Adulation
Option 3: Admiration
Option 4: Addiction
Correct Answer: Abdication
Abdication is the act of renouncing a position of authority, particularly a throne. It specifically refers to the voluntary surrender of a ruling position, thus making it the correct one-word substitute.
The meanings of the other options
Question : Directions: Rana walks 20 m straight in the north direction and 20 m to the right. Then every time turning to his left, he walks 5 m, 25 m, and 25 m respectively. How far is he from his starting point now?
Option 1: 5 m
Option 2: 20 m
Option 3: 25 m
Option 4: 30 m
Correct Answer: 5 m
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between the starting point and the endpoint.
In the figure, A is the starting point and G is the endpoint. So, AG is the distance
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