Staff Selection Commission Combined Higher Secondary Level Exam
Question : The sum of interior angles of a regular polygon is $1440^{\circ}$. The number of sides of the polygon is:
Option 1: 10
Option 2: 12
Option 3: 6
Option 4: 8
Correct Answer: 10
Solution : Sum of all angles = $1440^{\circ}$ Let the number of sides of the polygon be $n$. ⇒ $1440^{\circ}$ = $(n-2)×180^{\circ}$ ⇒ $(n-2)$ = $\frac{1440}{180}$ ⇒ $(n-2)$ = $8$ ⇒ $n$ = $2+8$ = $10$ Hence, the correct answer is 10.
Question : Directions: Select the word pair that does NOT represent a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Absence : Existence
Option 1: Blunt : Sharp
Option 2: Calm : Furious
Option 3: Abundant : Lacking
Option 4: Careful : Cautious
Correct Answer: Careful : Cautious
Solution : Given: Absence : Existence (It represents an opposite or contrasting relationship, where absence means the lack or nonexistence of something and existence means the presence of something.)
Let's check the options – First option: Blunt : Sharp; Blunt and Sharp are antonyms, representing
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statement I: Some fish are frogs. Statement II: Some frogs are whales. Conclusion I: Some fish are whales. Conclusion II: No fish is a whale.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Either I or II follows
Option 4: Neither I nor II follows
Correct Answer: Either I or II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some fish are whales – It is a possibility that the circles representing fish and whales overlap and have a part
Question : The sentences of a paragraph are given below in jumbled order. Select the option that arranges the sentences in the correct order to form a meaningful and coherent paragraph.
A. These changes were sure to happen as technological intervention cannot be arrested anywhere. B. Recent times have marked a major change in the teaching-learning process in the educational sector. C. A willing acceptance and practising it to achieve excellence into it is the single option to all educators. D. Beyond this, the constant flux in the diversified areas of academics has forced this change.
Option 1: ABCD
Option 2: BACD
Option 3: BADC
Option 4: ADBC
Correct Answer: BADC
Solution : The correct choice is the third option i.e., BADC.
The paragraph discusses the significant changes in the teaching-learning process in the educational sector. It starts by noting the recent major changes in education (B), follows with the inevitability of technological intervention (A), and
Question : An inlet pipe can fill an empty tank in 51 hours while an outlet pipe drains a filled tank in 76.5 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get filled?
Option 1: 178.5
Option 2: 127.5
Option 3: 102
Option 4: 153
Correct Answer: 153
Solution : Given: An inlet pipe can fill an empty tank in 51 hours while an outlet pipe drains a filled tank in 76.5 hours. In 1 hour inlet pipe fills = $\frac{1}{51}$ part In 1 hour outlet pipe empties = $\frac{1}{76.5}$ part When both open at
Question : Which article of the Indian Constitution empowers Indian Parliament to amend the constitution?
Option 1: Article 368
Option 2: Article 252
Option 3: Article 254
Option 4: Article 256
Correct Answer: Article 368
Solution : The correct option is Article 368.
Article 368 of the Indian Constitution outlines the framework for constitutional amendments. Article 368 of the Indian Constitution addresses the method and authority for amending the Constitution. It covers the various methods for making amendments as well
Question : Directions: In the following question, select the missing number from the given alternatives:
Option 1: 9
Option 2: 8
Option 4: 7
Correct Answer: 6
Solution : Given:
Adding the numbers in each column, Column 1: 6 + 7 + 3 = 16 Column 2: 10 + 2 + 4 = 16 Similarly for Column 3: 9 + 1 + ? = 16
Question : Simplify: $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$
Option 1: $1$
Option 2: $4$
Option 3: $\sqrt{\frac{159}{130}}$
Option 4: $2$
Correct Answer: $\sqrt{\frac{159}{130}}$
Solution : $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$ = $\sqrt{\frac{\frac{29}{7}-\frac{9}{4}}{\frac{7}{2}+\frac{8}{7}}+\frac{2}{2+\frac{1}{2+\frac{5}{24}}}}$ = $\sqrt{\frac{\frac{53}{28}}{\frac{65}{14}}+\frac{2}{2+\frac{24}{53}}}$ = $\sqrt{\frac{53}{130}+\frac{106}{130}}$ = $\sqrt{\frac{159}{130}}$ Hence, the correct answer is $\sqrt{\frac{159}{130}}$.
Question : If four-fifths of five-sixths of one-eighth of a certain number is 4365, what is 65% of the number?
Option 1: 36,375
Option 2: 53,280
Option 3: 34,047
Option 4: 52,380
Correct Answer: 34,047
Solution : Let the number be $n$. According to the question, $\frac{4}{5} \times \frac{5}{6} \times \frac{1}{8} \times n = 4365$ $⇒\frac{1}{12} \times n = 4365$ $⇒n = 4365 \times 12 = 52380$ Now, 65% of $n = \frac{65}{100} \times 52380 = 34047$ Hence, the correct answer is
Question : The gas that causes suffocation and death when coal or coke is burnt in a closed room is
Option 1: Methane
Option 2: Ethane
Option 3: Carbon Monoxide
Option 4: Carbon Dioxide
Correct Answer: Carbon Monoxide
Solution : The correct option is Carbon Monoxide.
Carbon Monoxide (CO) is the gas that can result from burning coal, or coke in a closed space. Colourless and odourless, carbon monoxide is created when fuels containing carbon, like coal or coke, burn incompletely. A buildup
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