Staff Selection Commission Combined Graduate Level Exam
Question : Till which year did the High Court of Delhi continue to exercise jurisdiction over Himachal Pradesh?
Option 1: 1969
Option 2: 1967
Option 3: 1971
Option 4: 1968
Correct Answer: 1971
Solution : The correct option is 1971.
Until 1971, the High Court of Delhi had jurisdiction over Himachal Pradesh. Himachal Pradesh was granted its own High Court, known as the Himachal Pradesh High Court, in 1971, and it began operating autonomously. Before that, the Delhi High Court
Question : The demand for the commodity is direct but the demand for a factor of production is called a:
Option 1: crossed demand
Option 2: joint demand
Option 3: derived demand
Option 4: independent demand
Correct Answer: derived demand
Solution : The correct answer is derived demand.
Demand for a factor of production, such as labour or capital, is referred to as "derived demand". Derived demand means that the demand for these factors is derived from the demand for the final goods or services
Question : If $x+y+z = 9$, then the value of $(x−4)^3+(y−2)^3+(z−3)^3−3(x−4)(y−2)(z−3)$ is:
Option 1: 6
Option 2: 9
Option 3: 0
Option 4: 1
Correct Answer: 0
Solution : Given: $x+y+z=9$ Solution: Let $(x–4) = a, (y−2) = b, (z−3) = c$ So, this equation stands to $(x−4)^3+(y−2)^3+(z−3)^3−3(x−4)(y−2)(z−3)$ = $a^3+b^3+c^3–3abc$ Also, We know that $a^3+b^3+c^3–3abc$ = $(a+b+c)(a^2+b^2+c^2–bc–ab–ac) $. So, $a+b+c = x−4+y−2+z−3$ ⇒ $a+b+c = x+y+z−9$ ⇒ $a+b+c = 9−9$ ⇒ $a+b+c = 0$
Question : Ethanol containing 5% water is known as :
Option 1: Dilute alcohol
Option 2: Power alcohol
Option 3: Rectified spirit
Option 4: Absolute alcohol
Correct Answer: Rectified spirit
Solution : The correct option is Rectified spirit.
Rectified spirit is a highly concentrated and pure type of alcohol that is often produced from grains or sugarcane. Because of its high alcohol concentration, which typically exceeds 95% alcohol by volume (ABV), it is frequently employed in
Question : Chola inscriptions mention several categories of land, which of the following land was known as gifted to temples?
Option 1: Devadana
Option 2: Shalabhoga
Option 3: Pallichchandam
Option 4: Brahmadeya
Correct Answer: Devadana
Solution : The correct answer is Devadana.
Inscriptions from the Chola dynasty in ancient South India mention several categories of land, and the land that was known as gifted to temples was called Devadana land. Devadana land refers to land that was donated or gifted to temples
Question : Which sportsperson was named by homegrown pharma major Lupin Ltd as a brand ambassador for its Shakti campaign in 2022?
Option 1: Rahul Dravid
Option 2: Mithali Raj
Option 3: Mary Kom
Option 4: PV Sindhu
Correct Answer: Mary Kom
Solution : The correct option is Mary Kom
Lupin Pharmaceuticals is a pharmaceutical company based in India. It is one of the largest manufacturers of generic drugs globally. Lupin specializes in the production of a wide range of pharmaceutical products.
The "Shakti" campaign is a term
Question : Directions: In a certain code language, CHILDREN is written as FKLOGUHQ, and SCHOOL is written as VFKRRO, how will CLASSROOM be written in that language?
Option 1: EMCTTTQQO
Option 2: EMCTTURRP
Option 3: FOEWWURRP
Option 4: FODVVURRP
Correct Answer: FODVVURRP
Solution : Given: The code for CHILDREN is FKLOGUHQ, and the code for SCHOOL is VFKRRO.
As for, CHILDREN is written as FKLOGUHQ – C + 3 = F; H + 3 = K; I + 3 = L; L + 3 = O; D + 3
Question : If $\tan ^2 \theta+\tan ^4 \theta=1$, then:
Option 1: $\cot ^2 \theta+\cot ^4 \theta=1$
Option 2: $\cos ^2 \theta+\cos ^4 \theta=1$
Option 3: $\sin ^2 \theta+\sin ^4 \theta=1$
Option 4: $\operatorname{cosec}^2 \theta+\sec ^4 \theta=1$
Correct Answer: $\cos ^2 \theta+\cos ^4 \theta=1$
Solution : $\tan ^2 \theta+\tan ^4 \theta=1$ ⇒ $\tan^2\theta(1+\tan^2\theta) = 1$ ⇒ $\tan^2\theta(1+\frac{\sin^2\theta}{\cos^2\theta}) = 1$ ⇒ $\frac{\sin^2\theta}{\cos^2\theta}(\frac{cos^2\theta + \sin^2\theta}{\cos^2\theta}) = 1$ ⇒ $\frac{\sin^2\theta}{\cos^2\theta}(\frac{1}{\cos^2\theta}) = 1$ ⇒ $\sin^2\theta = \cos^4\theta$ ⇒ $1-\cos^2\theta = \cos^4\theta$ ⇒ $\cos^4\theta + \cos^2\theta = 1$ Hence, the correct answer
Question : Who among the following belonged to the ancient chiefly family of the Cholas from Uraiyur, who captured the Kaveri delta from the Muttaraiyar in the middle of the ninth century?
Option 1: Gandaraditya
Option 2: Vijayalaya
Option 3: Parantaka I
Option 4: Aditya I
Correct Answer: Vijayalaya
Solution : The correct answer is Vijayalaya.
A minor ruling family called the Muttaraiyar had control over the Kaveri delta, and they were under the authority of the Pallava kings of Kanchipuram. In the middle of the ninth century, a leader named Vijayalaya, hailing from the
Question : The table given below shows the foreign trade by two countries in 5 different years.
What is the value of average foreign trade by country P in all 5 years?
Option 1: 155
Option 2: 745
Option 3: 149
Option 4: 135
Correct Answer: 149
Solution : Average foreign trade by country P in all 5 years = $\frac{220+200+125+115+85}{5}$ = $\frac{745}{5}$ = 149 Hence, the correct answer is 149.
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