Staff Selection Commission Combined Higher Secondary Level Exam
Question : Which of the following is not one of the questions every society needs to answer?
Option 1: How should the goods be distributed?
Option 2: How should goods be produced?
Option 3: What goods and services to produce?
Option 4: How should the goods be exchanged?
Correct Answer: How should the goods be exchanged?
Solution : The correct answer is How should the goods be exchanged.
The question "How should the goods be exchanged?" is not explicitly one of the fundamental questions every society needs to answer. Instead, societies commonly address what to produce, how
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college. The average number of boys from all the departments together is:
Option 1: 123
Option 2: 132
Option 3: 134
Option 4: 142
Correct Answer: 132
Solution : From the given graph, The total number of boys from all the departments = 60 + 220 + 100 + 160 + 120 = 660 The total number of departments = 5 The average number of boys from all the departments $=\frac{\text{The total number of
Question : If $x^{2}+\frac{1}{x^{2}}=1$, then, what is the value of $x^{48}+x^{42}+x^{36}+x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$?
Option 1: – 9
Option 2: 0
Option 3: 1
Option 4: 9
Correct Answer: 1
Solution : Given: $x^{2}+\frac{1}{x^{2}} = 1$ Adding 2 on both sides, we get, $x^{2} + \frac{1}{x^{2}} + 2 = 1 + 2$ ⇒ $x^{2} + \frac{1}{x^{2}} + 2×x^2×\frac{1}{x^{2}} = 3$ ⇒ $(x + \frac{1}{x})^{2} = 3$ $x + \frac{1}{x} = \sqrt3$ Cubing both sides, we get, ⇒
Question : When did the RTI Act come into force in India?
Option 1: 15th June, 2005
Option 2: 15th August, 2005
Option 3: 15th March, 2005
Option 4: 12th Oct,2005
Correct Answer: 12th Oct,2005
Solution : The correct answer is 12th October 2005.
The RTI Act was promulgated in 2005 to promote transparency and accountability in the workings of every public authority. The RTI Act empowers the citizens of the country to question authority. This Act gives citizens access to
Question : Directions: If 18 September 1998 is Friday, then what will be the day of the week on 15 September 2009?
Option 1: Wednesday
Option 2: Monday
Option 3: Tuesday
Option 4: Sunday
Correct Answer: Tuesday
Solution : Given: 18 September 1998 is a Friday.
Let's calculate the total number of days from the 18th of September 1998 to the 15th of September 2009 –
Number of remaining days in 1998 = 12 + 31 + 30 + 31 = 104 Number of
Question : Which goddess is associated with the Gangaur festival celebrated in Central and Western India?
Option 1: Goddess Saraswati
Option 2: Goddess Lakshmi
Option 3: Goddess Parvati
Option 4: Goddess Kali
Correct Answer: Goddess Parvati
Solution : The correct option is Goddess Parvati.
The Gangaur festival, primarily celebrated in Rajasthan and some parts of central and western India, is dedicated to Goddess Gauri. Gauri is considered a manifestation of Goddess Parvati, the consort of Lord Shiva, in Hindu mythology.
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 : $\frac{7 \text { of } 14 ÷ 4}{5 × 4 ÷ 2}+\frac{6 ÷ 12 × 3}{5 ÷ 25 × 2}+\frac{15 ÷ 5 × 6}{5× 15 ÷ 6}$ = $\frac{ \frac{98}{4}}{5 × 2}+\frac{\frac{1}{2}× 3}{\frac{1}{5}× 2}+\frac{3× 6}{5× \frac{5}{2} }$ = $\frac{49 }{20}+\frac{15}{4}+\frac{36}{25}$ = $\frac{245+375+144}{100}$ = $\frac{764}{100}$ =
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