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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\frac {x^2+3x+1}{x^2–3x+1}=\frac{1}{2 }$, then the value of $(x+\frac{1}{x})$ is:

Option 1: 9

Option 2: –9

Option 3: 1

Option 4: 2

Team Careers360 21st Jan, 2024

Correct Answer: –9


Solution : Given: $\frac {x^2+3x+1}{x^2–3x+1}=\frac{1}{2}$
Dividing both the numerator and the denominator by $x$ on the left-hand side, we get,
$\frac{(x+3+\frac{1}{x})}{(x–3+\frac{1}{x})}=\frac{1}{2}$
⇒ $\frac{(x+\frac{1}{x})+3}{(x+\frac{1}{x})–3}=\frac{1}{2}$
⇒ $2(x+\frac{1}{x})+6={(x+\frac{1}{x})-3}$
⇒ $(x+\frac{1}{x})=-3-6$
⇒ $(x+\frac{1}{x})=-9$
Hence, the correct answer is –9.

16 Views

Question : Directions: If P denotes multiplied by, R denotes subtracted from, S denotes added to and Q denotes divided by, then which of the following equations is true?

Option 1: 18 R 60 Q 15 S 2 = 8

Option 2: 15 S 16 Q 2 P 4 = 47

Option 3: 3 P 5 R 18 Q 3 = 6

Option 4: 15 S 28 Q 4 P 2 = 27

Team Careers360 18th Jan, 2024

Correct Answer: 15 S 16 Q 2 P 4 = 47


Solution : Given:
P means multiplied by, R means subtracted from, S means added to, Q means divided by.

Let's check the options –
First option: 18 R 60 Q 15 S 2 = 8
⇒ 18 – 60

22 Views

Question :

If the radius of blood vessels of a person decreases his/her blood pressure will
 

Option 1:

Increase

Option 2:

Decrease

Option 3:

Remain unaffected

 

Option 4: Increase for males and decrease for females

Team Careers360 21st Jan, 2024

Correct Answer:

Increase


Solution : The correct option is increase.

If the radius (diameter) of blood vessels diminishes, blood pressure will normally increase. The space through which blood may flow grows narrower as the radius of blood vessels decreases. As a result, blood flow resistance increases, and the heart must

35 Views

Question : 40% are the passing marks. A student gets 250 marks yet fails by 38 marks. What is the maximum marks?

Option 1: 720

Option 2: 750

Option 3: 800

Option 4: 840

Team Careers360 17th Jan, 2024

Correct Answer: 720


Solution : Given: 40% are the passing marks. A student gets 250 marks yet fails by 38 marks.
Let the maximum marks be 100.
Then, the passing marks is $100×\frac{40}{100}=40$
Also, a student gets 250 marks yet fails by 38 marks.
So, the passing marks is (250

10 Views

Question : What is the value of the Least Distance of Distinct vision (in cm) for a normal human being?

Option 1: 2.5

Option 2: 25

Option 3: 58

Option 4: 60

Team Careers360 24th Jan, 2024

Correct Answer: 25


Solution : The correct option is 25

The shortest distance at which a person with normal vision can distinguish objects is considered to be about 25 cm. This indicates that a person's eyes are around 25 cm from the nearest point at which they can focus clearly

20 Views

Question : Census of population in India is done after every

Option 1: 10 years

Option 2: 05 years

Option 3: 07 years

Option 4: 02 years

Team Careers360 25th Jan, 2024

Correct Answer: 10 years


Solution : The correct answer is 10 years.

First Decennial census of India was conducted in 1881 under the Viceroy Lord Mayo and Governor Lord Ripon. Since then census is conducted every 10 years. Since 1949 the responsibility of conducting census lies with Office of Registrar

23 Views

Question : Directions: F is C's son. C is the only daughter of B. D is A's only son-in-law. B is C's father. A is B's wife. How is D related to F?

Option 1: Brother-in-law

Option 2: Father

Option 3: Father-in-law

Option 4: Brother

Team Careers360 19th Jan, 2024

Correct Answer: Father


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, D is the father of F. Hence, the second option is correct.

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