Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: Some stones are cubes. No cube is a glass. All bats are cubes. Conclusions: I. Some stones being bats is a possibility. II. No bat is a glass. III. All cubes are bats. IV. No stone is a glass.
Option 1: Only conclusions I, II, and IV follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some stones being bats is a possibility – As some stones are cubes and all bats are cubes. So some
Question :
Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols:
If '+' means '×', '–' means '÷', '×' means '–', and '÷' means '+', then what will be the value of 16 ÷ 64 – 8 × 4 + 2 ?
Option 1: 18
Option 2: 24
Option 3: 16
Option 4: 12
Correct Answer: 16
Solution : Given:
'+' means '×'
'–' means '÷'
'×' means '–'
'÷' means '+'
16 ÷ 64 – 8 × 4 + 2 = ?
Now, replacing the symbols as per the code language given in the question, we get –
16 + 64 ÷ 8
Question : In $\triangle ABC$, right angled at B, if $\tan A=\frac{1}{2}$, then the value of $\frac{\sin A(\cos C+\cos A)}{\cos C(\sin C-\sin A)}$ is:
Option 1: $2$
Option 2: $1$
Option 3: $3$
Option 4: $2\sqrt5$
Correct Answer: $3$
Solution : $\tan A=\frac{1}{2}$ $⇒\frac{BC}{AB}=\frac{1}{2}$ Let $BC=x$ units, then $AB=2x$ units Using Pythagoras theorem, $⇒AC^2=AB^2+BC^2$ $⇒AC^2=x^2+(2x)^2$ $⇒AC^2=5x^2$ $⇒AC =x\sqrt5 $ units Now, we have $\triangle ABC$ right-angled at B, with $\tan A=\frac{1}{2}$, and we've found that $BC=x$, $AB=2x$, and $AC=x\sqrt{5}$. $⇒\sin A = \frac{BC}{AC} = \frac{x}{x\sqrt{5}} =
Question : Directions: Study the following bar graph carefully and answer the question.
Total enrolments in both State University and Central University during the years 1980, 1990, and 2000 are:
Option 1: 80,000
Option 2: 66,000
Option 3: 70,000
Option 4: 76,000
Correct Answer: 70,000
Solution : As per the given graph: The number of students enrolled at State and Central Universities in 1980 = 8000 + 10000 = 18000 The number of students enrolled at State and Central Universities in 1990 = 14000 + 12000 = 26000 The number of students
Question : In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of the chord PQ is:
Option 1: $2\sqrt{13}\;\mathrm{cm}$
Option 2: $5\sqrt{3}\;\mathrm{cm}$
Option 3: $4\sqrt{6}\;\mathrm{cm}$
Option 4: $6\sqrt{5}\;\mathrm{cm}$
Correct Answer: $4\sqrt{6}\;\mathrm{cm}$
Solution :
We have, $\mathrm{AX:BX = 3:2}$ and the radius of the circle is $5\;\mathrm{cm}$. $\mathrm{AX=\frac{3}{5} \times 10 = 6}\;\mathrm{cm}$ $\mathrm{BX=\frac{2}{5} \times 10 = 4}\;\mathrm{cm}$ We know the theorem states that the two chords of a circle intersect within the circle, the product of the segments of
Question : Which of the following is protected under Wildlife(Protection) Act,1972
Option 1: Porcupine
Option 2: Gerbil
Option 3: Bandicoot rat
Option 4: Squirrel
Correct Answer: Porcupine
Solution : The correct option is Porcupine.
Among the options given, the "porcupine" is protected in India under the Wildlife (Protection) Act of 1972. The porcupine is a Schedule II species under the Act, which means it is legally protected and killing or catching them without valid
Question : Directions: 14 notebooks of a class were corrected with ink pen while 22 notebooks were corrected with colour pencil. If 4 notebooks were corrected with both, what is the strength of the class?
Option 1: 30
Option 2: 32
Option 3: 28
Option 4: 25
Correct Answer: 32
Solution : Given: Notebooks corrected with ink pen = 14 Notebooks corrected with colour pencil = 22 Notebooks corrected with both = 4
So, the total number of students in class = 14 + 22 – 4 = 32
Hence, the second option is correct.
Question : 15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:
Option 1: $5\frac{5}{11}$
Option 2: $4\frac{3}{11}$
Option 3: $7\frac{2}{11}$
Option 4: $6\frac{4}{11}$
Correct Answer: $5\frac{5}{11}$
Solution : Time taken by 15 men to complete the work = 10 days ⇒ Part of work done by 15 men in a day = $\frac{1}{10}$ Time taken by 15 women to complete the work = 12 days ⇒ Part of work done by 15 women
Question : Select the correct indirect form of the given sentence.
My teacher says, "We must take care of our hygiene."
Option 1: My teacher says that we must take care of our hygiene.
Option 2: My teacher said they took care of their hygiene.
Option 3: My teacher said that we must be taking care of our hygiene.
Option 4: My teacher says that we took care of our hygiene.
Correct Answer: My teacher says that we must take care of our hygiene.
Solution : The correct choice is the first option.
Narration Conversion:
Therefore, the correct
Question : 'Pradhan Mantri Jan-Dhan Yojana' has been launched for:
Option 1: Promoting financial inclusion in the country.
Option 2: Providing loans to the poorest people in the country.
Option 3: Providing financial help to the marginalised community.
Option 4: Promoting women in backward areas.n
Correct Answer: Promoting financial inclusion in the country.
Solution : The correct answer is promoting financial inclusion in the country.
The purpose of this strategy was financial inclusion. As a result of this approach, India's financial inclusion has considerably improved. It has aided in the direct delivery of subsidies
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