Staff Selection Commission Combined Higher Secondary Level Exam
Question : The sum of all internal angles of a regular polygon whose one external angle is $20^\circ$ is:
Option 1: $6400^\circ$
Option 2: $3200^\circ$
Option 3: $2880^\circ$
Option 4: $1440^\circ$
Correct Answer: $2880^\circ$
Solution : The number of sides $(n)$ in a regular polygon, $⇒n = \frac{360^\circ}{E}$ where $E$ is the external angle. Substituting $E = 20^\circ$ into the equation. $⇒n = \frac{360^\circ}{20^\circ} = 18$ The polygon has 18 sides. The sum $(S)$ of all internal angles of a polygon,
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Daniel is worried lately. Usually, life is good for him. He (1)_______ a nice little shop where he sells souvenirs to tourists and lives in a nice cottage with his wife and their three teenage kids. They have a dog, a cat, and a backyard (2)_______ barbecue. They host all the family (3)_______, and his wife's turkey is the best in the country. What can be better than that, right? But lately, not all is well. There are (4)______ clouds in the sky, and all they talk about is terror and war. They feel something may happen. The (5)_______ life as he knows may be lost forever.
Select the most appropriate option to fill in the blank number 5.
Option 1: flush
Option 2: agreeable
Option 3: ease
Option 4: comfortable
Correct Answer: comfortable
Solution : The correct choice is the fourth option.
In this context, comfortable describes the quality of Daniel's life that he fears might be lost due to the current concerns about terror and war. It implies that a sense of security and contentment that he had
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: SRT
Option 2: PON
Option 3: KJL
Option 4: VUW
Correct Answer: PON
Solution : Let's check the given options – First option: SRT; S – 1 = R; R + 2 = T Second option: PON; P – 1 = O; O – 1 = N Third option: KJL; K – 1 = J; J + 2 = L
Option 1: 3 – 9
Option 2: 5 – 25
Option 3: 7 – 49
Option 4: 8 – 64
Correct Answer: 8 – 64
Solution : Let's check the options – First option: 3 – 9; 9 is a perfect square of 3. Second option: 5 – 25; 25 is a perfect square of 5. Third option: 7 – 49; 49 is a perfect square of 7. Fourth option:
Question : The data on the production (in million) of three types of medicines by three different companies is given below.
Which of the following gives the minimum production of a medicine by any company?
Option 1: Medicine P, Company A
Option 2: Medicine Q, Company C
Option 3: Medicine P, Company C
Option 4: Medicine Q, Company B
Correct Answer: Medicine P, Company A
Solution :
As per the given table, The minimum production of medicine by any company is 1.125 million units of Medicine P by Company A. Hence,
Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements. Statements: (I) Some books are horse. (II) All horses are animals. (III) Some animals are oceans. Conclusions: (I) Some horses are oceans. (II) Some animals are books.
Option 1: Both conclusions (I) and (II) are true
Option 2: Only conclusion (I) is true
Option 3: Only conclusion (II) is true
Option 4: Neither conclusion (I) nor (II) is true
Correct Answer: Only conclusion (II) is true
Solution : The possible Venn diagram as per the given statements is as follows – Let's analyse the conclusions – Conclusion (I): Some horses are oceans – From the Venn diagram, there is no definite relation between horses and oceans. So, this conclusion
Question : 360 cm2 and 250 cm2 are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:
Option 1: $6\frac{1}{5}\;\operatorname{ cm}$
Option 2: $6\frac{1}{3}\;\operatorname{ cm}$
Option 3: $6\frac{2}{3}\;\operatorname{ cm}$
Option 4: $6\;\operatorname{ cm}$
Correct Answer: $6\frac{2}{3}\;\operatorname{ cm}$
Solution : Thales theorem states that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Let the length of the corresponding side of the second triangle as $x$. $⇒\mathrm{\frac{Area_1}{Area_2} = \left(\frac{Side_1}{Side_2}\right)^2}$ $⇒\frac{360}{250} = \left(\frac{8}{x}\right)^2$
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).
Both of them are good, but this is the best of the two.
(1) good
(2) better
(3) much better
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer.
"Better" is the comparative form of "good" and is needed here to compare the two options. The definite article "the" is required where one person or thing is being compared with another.
The other options are either lacking
Question : Who is the only second Vice President to get a second consecutive term after Dr Sarvepalli Radhakrishnan?
Option 1: Kocheril Raman Narayanan
Option 2: Bhairon Singh Shekhawat
Option 3: Mohammad Hamid Ansari
Option 4: Dr. Shankar Dayal Sharma
Correct Answer: Mohammad Hamid Ansari
Solution : The correct answer is Mohammad Hamid Ansari.
Mohammad Hamid Ansari served as the Vice President of India between 2007 and 2017. He had two consecutive terms as the Vice President of India, only after Dr. Sarvepalli Radhakrishnan.
Question : Parts of the following sentence have been given as options. Select the option that contains an error.
Suman has bought a black and a white shawl to wear with her new dress.
Option 1: to wear with
Option 2: her new dress.
Option 3: a black and a white shawl
Option 4: Suman has bought
Correct Answer: a black and a white shawl
Solution : The third option is the correct choice.
The phrase "a black and a white shawl" is not correct because this means that Suman has bought two shawls. It should be "a black and white shawl", which means a shawl in
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