Staff Selection Commission Combined Graduate Level Exam
Question : Pushyamitra, who was the commander of Brihadratha, the last Mauryan emperor, killed the king and established a new dynasty. Which of the following was his dynasty?
Option 1: Shunga
Option 2: Kanva
Option 3: Satavahana
Option 4: Chedi
Correct Answer: Shunga
Solution : The correct answer is Shunga.
Brihadratha, the final ruler of the Mauryan dynasty, met his demise at the hands of Pushyamitra Shunga, the commander-in-chief of the Mauryan army. Subsequently, Pushyamitra Shunga established the brief-lived Shunga dynasty in 185 BCE.
Question : A varies directly as the positive square root of B, and inversely as the cube of C. If A = 15, when B = 27 and C = 2, then find B when A = 9 and C = 2.
Option 1: $\frac{281}{42}$
Option 2: $\frac{243}{25}$
Option 3: $\frac{264}{37}$
Option 4: $\frac{275}{51}$
Correct Answer: $\frac{243}{25}$
Solution : Let $A$ = $\frac{k\sqrt{B}}{C^3}$ Substituting $A$ = 15, $B$ = 27, and $C$ = 2, we get: 15 = $\frac{k\sqrt{27}}{2^3}$ ⇒ $k=\frac{120}{3\sqrt{3}}$ ⇒ $k=\frac{40}{\sqrt{3}}$ Now, $B = (\frac{AC^3}{k})^2$ Substituting $A$ = 9 and $C$ = 2, we get: ⇒ $B = (\frac{9\times 2^3}{\frac{40}{\sqrt{3}}})^2$ ⇒ $B
Question : Directions: The graph shows the result of 10th class students of school for 4 years. Study the graph and answer the question:
III class
II class
I class
The number of students appeared for 10th class exam in year 2002 is:
Option 1: 180
Option 2: 195
Option 3: 200
Option 4: 120
Correct Answer: 195
Solution : $\text{Number of students in Year 2002 = 15 + 60 + 120 = 195}$
$\text{The number of students appeared for 10th class exam in year 2002 is 195}$
Question : India’s first AI-powered, end-to-end digital Lok Adalat was launched in ________.
Option 1: Uttar Pradesh
Option 2: Rajasthan
Option 3: Madhya Pradesh
Option 4: Gujarat
Correct Answer: Rajasthan
Solution : The correct answer is Rajasthan.
India’s first AI-powered, end-to-end digital Lok Adalat was launched in the Jaipur city of Rajasthan. It was launched by the Rajasthan State Legal Service Authority (RSLSA) and the Maharashtra State Legal Service Authority (MSLSA).
Question : What is the value of the given expression if $3\cot A=\frac{7}{3}$? $\frac{3 \cos A+2 \sin A}{3 \cos A-2 \sin A}$
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{3}$
Option 3: $13$
Option 4: $1$
Correct Answer: $13$
Solution : Given: $3\cot A=\frac{7}{3}$ To find: $\frac{3 \cos A+2 \sin A}{3 \cos A-2 \sin A}$ Dividing numerator and denominator by $\sin A$, we get: $= \frac{\frac{3 \cos A}{\sin A}+\frac{2 \sin A}{\sin A}}{\frac{3 \cos A}{\sin A}-\frac{2 \sin A}{\sin A}}$ $= \frac{3\cot A+2}{3\cot A-2}$ Putting $3\cot A=\frac{7}{3}$ $=
Question : The given bar graph shows the profit (in INR lakhs) made by a company from 2001-2002 to 2008-2009.
The ratio of the number of years in which the company's profit is above the average profit, to those in which the profit is below the average is:
Option 1: 5 : 3
Option 2: 4 : 3
Option 3: 3 : 5
Option 4: 3 : 4
Correct Answer: 4 : 3
Solution : Average profit = $\frac{650+730+520+680+740+490+660+810}{8}$ = $\frac{5280}{8}$ = 660 Number of years in which the company's profit is above the average profit = 4 Number of years in which the profit is below the average = 3 So, the required ratio = 4 :
Question : If $(x+\frac{1}{x})=3$, then $(x^8+\frac{1}{x^8})$ is equal to:
Option 1: 2201
Option 2: 2203
Option 3: 2207
Option 4: 2213
Correct Answer: 2207
Solution : Given: $(x+\frac{1}{x})=3$ Squaring both sides of the above equation, we get, ⇒ $(x^2+\frac{1}{x^2}+2)=9$ ⇒ $x^2+\frac{1}{x^2}=7$ Again, squaring both sides of the above equation, we get, ⇒ $(x^2+\frac{1}{x^2})^2=7^2$ ⇒ $x^4+\frac{1}{x^4}+2=49$ ⇒ $x^4+\frac{1}{x^4}=47$ Again, squaring both sides of the above equation, we get, ⇒ $(x^4+\frac{1}{x^4})^2=47^2$ ⇒ $x^8+\frac{1}{x^8}+2=2209$
Question : The driest location on Earth is in which country ?
Option 1: Kenya
Option 2: Chile
Option 3: Congo
Option 4: Libya
Correct Answer: Chile
Solution : The correct option is - Chile.
The Atacama Desert is known for being the driest area on Earth.It is situated in Arica, Chile, and receives just 0.03 inches of rainfall each year.
Question : What is the full form of IADP?
Option 1: Intensive Agricultural District Programme
Option 2: Indian Agricultural Development Programme
Option 3: Integrated Agricultural District Plan
Option 4: Intensive Agricultural Development Project
Correct Answer: Intensive Agricultural District Programme
Solution : The correct option is the Intensive Agricultural District Programme.
The Intensive Agricultural District Programme (IADP) was a scheme initiated by the Government of India to promote intensive agricultural development in selected districts. Under the IADP, various measures were taken to enhance agricultural
Question : Who is the writer of the famous book 'Kabuliwala'?
Option 1: Bankim Chandra Chatterjee
Option 2: Rabindranath Tagore
Option 3: Munshi Premchand
Option 4: Abdul Ghaffar Khan
Correct Answer: Rabindranath Tagore
Solution : The correct answer is Rabindranath Tagore.
Rabindranath Tagore wrote a short story titled Kabuliwala. The story centres on the friendship between a young Bengali girl named Mini, and a middle-aged dry fruit vendor from Kabul, Afghanistan, who travels to Calcutta to promote his goods.
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