Staff Selection Commission Combined Graduate Level Exam
Question : The communal electorate was introduced for the first time in India in
Option 1: 1919
Option 2: 1935
Option 3: 1906
Option 4: 1909
Correct Answer: 1909
Solution : The correct answer is 1909
The Morley-Minto Reforms, also known as the Indian Councils Act of 1909, established the communal electorate for the first time in India. This statute established distinct electorates for several religious groups, including Hindus, Muslims, Sikhs, and Christians. It was a
Question : Starting with 8,000 workers, the company increases the number of workers by 5%, 10% and 20% at the end of the first, second and third years respectively. The number of workers in the fourth year was:
Option 1: 10188
Option 2: 11088
Option 3: 11008
Option 4: 11808
Correct Answer: 11088
Solution : The number of workers in the fourth year is $P(1+\frac{R_1}{100})(1+\frac{R_2}{100})(1+\frac{R_3}{100})$, where $P$ is the initial number of workers, $R_1$ is the growth rate in the first year, $R_2$ is the growth rate in the second year and $R_3$ is the growth rate in the third
Question : Select the correct active form of the given sentence.
Your lunch box has been packed by mother.
Option 1: Mother has packed your lunch box.
Option 2: Mother is packing your lunch box.
Option 3: Mother had packed your lunch box.
Option 4: Mother will pack your lunch box.
Correct Answer: Mother has packed your lunch box.
Solution : The correct answer is the first option.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure of
Question : Bimbavati Devi is an exponent of which Indian dance form?
Option 1: Chhau
Option 2: Manipuri
Option 3: Kathakali
Option 4: Odissi
Correct Answer: Manipuri
Solution : The correct answer is Manipuri.
Bimbavati Devi is associated with the Manipuri dance form. She is a recognized artist affiliated with the Indian Council for Cultural Relations (ICCR) and has participated in numerous esteemed dance programs and festivals both in India and internationally.
Question : What is the value of $5\sin^260^{\circ}+7\sin^245^{\circ}+ 8\cos^245^{\circ}$?
Option 1: 10
Option 2: $\frac{57}{4}$
Option 3: 25
Option 4: $\frac{45}{4}$
Correct Answer: $\frac{45}{4}$
Solution : Given: The expression is $5\sin^260^{\circ}+7\sin^245^{\circ}+ 8\cos^245^{\circ}$. We know that trigonometric values of $\sin60^{\circ}=\frac{\sqrt3}{2}$, $\sin45^{\circ}=(\frac{1}{\sqrt2})$, and $\cos45^{\circ}=(\frac{1}{\sqrt2})$. $5\sin^260^{\circ}+7\sin^245^{\circ}+ 8\cos^245^{\circ}$ $=5\times(\frac{\sqrt3}{2})^2+7\times(\frac{1}{\sqrt2})^2+ 8\times(\frac{1}{\sqrt2})^2$ $=5\times\frac{3}{4}+7\times\frac{1}{2}+ 8\times\frac{1}{2}$ $=\frac{15}{4}+\frac{7}{2}+4$ $=\frac{15+14+16}{4}=\frac{45}{4}$ Hence, the correct answer is $\frac{45}{4}$.
Question : Marble comes under which category of rocks?
Option 1: Sedimentary
Option 2: Igneous
Option 3: Metamorphic
Option 4: None of these
Correct Answer: Metamorphic
Solution : The correct answer is Metamorphic.
Marble is a metamorphic rock that is formed when limestone is metamorphosed. Metamorphic rocks are often created by the change of igneous and sedimentary rocks under the earth's surface owing to the effects of heat and pressure. Example of Metamorphic
Question : Deepak lent Rs. 8800 to Jaichand for 13 years and Rs. 5500 to Kapil for 12 years on simple interest at the same rate of interest and received Rs.14432 in all from both of them as interest. The rate of interest per year is:
Option 1: 8.5 percent
Option 2: 9 percent
Option 3: 9.5 percent
Option 4: 8 percent
Correct Answer: 8 percent
Solution : Deepak lent money to Jaichand. The principal amount for Jaichand = 8800 Time for Jaichand = 13 year Deepak lent money to Kapil. The principal amount for Kapil = 5500 Time for Kapil= TK = 12 year Let rate of interest in time
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."
No sooner had the hockey match started (1) / when it began (2) / to rain. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
"When" should be replaced with "than" to make the sentence grammatically accurate, as they both form a pair of correlative conjunctions. "No sooner" is followed by "than", which helps convey the idea that the
Question : Avinash's monthly salary is INR 50,000 and his monthly expenditure is INR 18,000. Radha's monthly salary is INR 60,000 and her monthly expenditure is INR 24,000. Find the ratio of Radha's savings to Avinash's savings.
Option 1: 9 : 8
Option 2: 9 : 7
Option 3: 6 : 5
Option 4: 8 : 7
Correct Answer: 9 : 8
Solution : Avinash's monthly salary is INR 50,000 and his monthly expenditure is INR 18,000. Avinash's monthly savings is (50000 – 18000) = INR 32,000 Radha's monthly salary is INR 60,000 and her monthly expenditure is INR 24,000. Radha's monthly savings is (60000 – 24000)
Question : If $x=1+\sqrt{2}+\sqrt{3}$, then the value of $(2x^4-8x^3-5x^2+26x-28)$ is:
Option 1: $2\sqrt{2}$
Option 2: $3\sqrt{3}$
Option 3: $5\sqrt{5}$
Option 4: $6\sqrt{6}$
Correct Answer: $6\sqrt{6}$
Solution : Given: $x=1+\sqrt{2}+\sqrt{3}$ We know that the algebraic identities are $(x-y)^2=x^2+y^2-2xy$ and $(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx$. $x-1=\sqrt{2}+\sqrt{3}$ On squaring both sides of the above equation, we get, $(x-1)^2=(\sqrt{2}+\sqrt{3})^2$ ⇒ $(x^2+1-2x)=(3+2+2\sqrt{6})$ ⇒ $(x^2-2x-4)=2\sqrt{6}$ (equation 1) On squaring both sides of the above equation, we get, $(x^2-2x-4)^2=(2\sqrt{6})^2$ ⇒ $x^4+4x^2+16-4x^3+16x-8x^2=24$ ⇒ $x^4-4x^3-4x^2+16x-8=0$
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