Staff Selection Commission Combined Higher Secondary Level Exam
Question : The value of $\cot 13° \cot 27° \cot 60° \cot 63° \cot 77°$ is:
Option 1: $\frac{1}{\sqrt{3}}$
Option 2: $0$
Option 3: $\sqrt{3}$
Option 4: $1$
Correct Answer: $\frac{1}{\sqrt{3}}$
Solution : Consider, $\cot 13° \cot 27° \cot 60° \cot 63° \cot 77°$ We know, $\cot(90°-\theta)=\tan\theta$ and $\tan\theta=\frac{1}{\cot\theta}$ $=\cot13°\cot27°\cot60°\cot(90°-27°)\cot(90°-13°)$ $=\cot13°\cot27°\cot60°\tan27°\tan13°$ $=\cot13°\cot27°\cot60°\cdot\frac{1}{\cot27°}\cdot\frac{1}{\cot13°}$ $=\cot60°$ $ =\frac{1}{\sqrt3}$ Hence, the correct answer is $\frac{1}{\sqrt3}$.
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed at the top of the figure (on line MN). So, the top of the reflected image will appear as the
Question : Directions: In the following question, two statements are given, each followed by two conclusions/assumptions, I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions/assumptions, if any, follows from the given statements. Statements: I. The principal will address the students at 10 a.m. II. You are requested to take your seats before 10 a.m. Assumptions: I. If the student is not in his seat before 10 a.m., the function will not start. II. The function will start as scheduled.
Option 1: Assumption II is implicit
Option 2: Neither I nor II is implicit
Option 3: Both I and II are implicit
Option 4: Assumption I is implicit
Correct Answer: Assumption II is implicit
Solution : According to the given statements, let's analyse the assumptions – Assumption I: If the student is not in his seat before 10 a.m., the function will not start – Based on the given statements, it is being said that the students are
Question : What is the value of $\frac{7 \text { of } 14 ÷ 4}{5 × 4 ÷ 2}+\frac{6 ÷ 12 × 3}{5 ÷ 25 × 2}+\frac{15 ÷ 5 × 6}{5× 15 ÷ 6}$?
Option 1: 7.44
Option 2: 7.64
Option 3: 7.62
Option 4: 7.22
Correct Answer: 7.64
Solution : $\frac{7 \text { of } 14 ÷ 4}{5 × 4 ÷ 2}+\frac{6 ÷ 12 × 3}{5 ÷ 25 × 2}+\frac{15 ÷ 5 × 6}{5× 15 ÷ 6}$ = $\frac{ \frac{98}{4}}{5 × 2}+\frac{\frac{1}{2}× 3}{\frac{1}{5}× 2}+\frac{3× 6}{5× \frac{5}{2} }$ = $\frac{49 }{20}+\frac{15}{4}+\frac{36}{25}$ = $\frac{245+375+144}{100}$ = $\frac{764}{100}$ =
Question : If the price of rice is increased by 25 percent, then by what percentage consumption of rice should be decreased so that the expenditure incurred on rice gets decreased by 40 percent?
Option 1: 52 percent
Option 2: 43.33 percent
Option 3: 42 percent
Option 4: 48 percent
Correct Answer: 52 percent
Solution : Increase in price = 25% Decrease in expenditure = 40% (Initial price × Initial consumption) = (Final price × Final consumption) Let's denote the initial price and consumption as P and C, and the final price and consumption as P' and C'. Initial expenditure
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Freedom fighters laboured (1) / to the good of (2) / the poor enslaved masses. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct answer is the second option.
"To" should be replaced with "for" to convey the intended meaning that freedom fighters worked hard for the good of enslaved people. "For" is the correct preposition to be used in place of "to" since "labour for" means
Question : Select the most appropriate ANTONYM of the given word.
Glad
Option 1: Jive
Option 2: Innocent
Option 3: Sad
Option 4: Haunt
Correct Answer: Sad
Solution : The correct choice is the third option.
Glad refers to a feeling of happiness, pleasure, or contentment. It describes a positive emotional state or feeling of satisfaction.
Sad refers to a feeling of sorrow, unhappiness, or distress. It represents a negative emotional state characterised by
Question : Select the wrongly spelt word.
Option 1: Obsequious
Option 2: Nascent
Option 3: Dissiminate
Option 4: Malleable
Correct Answer: Dissiminate
Disseminate is the correct spelling, which means to spread or give out information to a lot of people. There should be "e" in place of the letter "i" for the correction.
The meanings of the other options are
Question : How many major sea ports are there in India ?
Option 1: 6
Option 2: 9
Option 3: 10
Option 4: 12
Correct Answer: 12
Solution : Correct answer is 12.
Presently there are 12 major ports in India. They are-
1 Kochi port in Kerala,
2 Ennore port in Tamil Nadu,
3 Haldia port in West Bengal,
4 Kolkata port in West Bengal,
5 Kandla port in Gujarat,
6 Mangalore port
Question : Select the word which means the same as the group of words underlined in the given sentence.
Vatsal is a lover and collector of books.
Option 1: anglophile
Option 2: recluse
Option 3: bibliophile
Option 4: polyglot
Correct Answer: bibliophile
A bibliophile is a person who loves and collects books.
The meanings of the other options are as follows:
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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