Staff Selection Commission Combined Graduate Level Exam
Question : Directions: If R ÷ S means that R is the mother of S, R × S means that R is the father of S and R – S means that R is the sister of S, then which of the following expressions shows that P is the father of R?
Option 1: P × Q ÷ R
Option 2: Q × P – R
Option 3: R × Q – P
Option 4: P × Q – R
Correct Answer: P × Q – R
Solution : Let's check the options – First option: P × Q ÷ R According to the given expression, the family tree will be as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : Directions: How many triangles are there in the given figure?
Option 1: 8
Option 2: 9
Option 3: 10
Option 4: 12
Correct Answer: 9
Solution : The figure can be labeled as shown below –
There are a total of 9 triangles in the above figure. They are ADE, ADF, ADB, AEF, AEB, AFB, DCB, DGC, CGB.
Hence, the second option is correct.
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the question figure – 1. In the given box 4 and 3 lines are added alternately. 2. The lines are getting added in pentagon form. 3. The lines are getting added from the left-hand side.
Therefore, the following figure is the required missing figure
Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. All P is Q. II. All R is Q. Conclusion: I. All Q is R. II. All P is R.
Option 1: Neither conclusion follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Neither conclusion follows
Solution : According to the given statements, the following Venn diagram can be drawn –
Conclusion I: All Q is R – From the above Venn diagram, the circle that represents R lies inside the circle that represents Q. So, from this, it can be
Question : Which of the following is a characteristic of sedimentary rocks?
Option 1: Lineation
Option 2: Bands
Option 3: Foliation
Option 4: Lithification
Correct Answer: Lithification
Solution : The correct option is Lithification.
Lithification is a main characteristic of sedimentary rocks. It refers to the process by which loose sediment particles, such as sand, mud, or organic material, become compacted, and cemented together over time, forming solid rock.
Question : A student has to score 40% to pass. He gets 67 and fails by 13 marks. What are the maximum marks?
Option 1: 300
Option 2: 200
Option 3: 150
Option 4: 240
Correct Answer: 200
Solution : Let the maximum marks be 100%. According to the question, 40% marks are equivalent to (67 + 13) = 80 marks Now, 100% marks are equivalent to $\frac{80×100}{40}$ = 200 marks So, the maximum marks = 200 Hence, the correct answer is 200.
Question : Sharmila Biswas, who was awarded the "Best Choreography Award" in 1998 by the Ministry of Information and Broadcasting, represents which of the following classical dance forms?
Option 1: Manipuri
Option 2: Odissi
Option 3: Kathakali
Option 4: Kathak
Correct Answer: Odissi
Solution : The correct answer is Odissi.
Renowned Indian classical dancer and choreographer Sharmila Biswas studied under master Kelucharan Mohapatra. She founded the Odissi Vision and Movement Centre in Kolkata in 1995 and currently serves as its creative director.
Question : Which of the following revolutionaries stated that “he did not wish to glorify the cult of the bomb and pistol but wanted a revolution in society?”
Option 1: Bhagat Singh
Option 2: Surya Sen
Option 3: Sachindra Nath Sanyal
Option 4: Barindra Kumar Ghosh
Correct Answer: Bhagat Singh
Solution : The correct option is Bhagat Singh.
"He wanted a revolution in society, not to glorify the cult of the bomb and pistol," Bhagat Singh declared at his trial. Bhagat Singh was a revolutionary hero of the Indian independence movement in the early 20th
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: All P is W. No O is W. Conclusions: I. Some O are not P. II. All W is O.
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some O are not P – It is clear from the Venn diagram that all P is W and no W is
Question : If $\cos \theta+\cos ^2 \theta=1$, find the value of $\sqrt{\sin ^4 \theta+\cos ^2 \theta}$.
Option 1: $\sqrt{2} \cos \theta$
Option 2: $2 \operatorname{cos} \theta$
Option 3: $\sqrt{2} \operatorname{sin} \theta$
Option 4: $2 \operatorname{sin} \theta$
Correct Answer: $\sqrt{2} \cos \theta$
Solution : Given: $\cos \theta+\cos ^2 \theta=1$ ⇒ $\cos\theta + \cos^2\theta = \sin^2\theta + \cos^2\theta$ ⇒ $\cos\theta = \sin^2\theta$ Putting the value in the given equation, $\sqrt{\sin ^4 \theta+\cos ^2 \theta}$ $=\sqrt{\cos^2\theta + \cos^2\theta}$ $=\sqrt{2} \cos\theta$ Hence, the correct answer is $\sqrt{2} \cos\theta.$
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