Staff Selection Commission Sub Inspector Exam
Question : If 25 persons can complete a work in 140 days, then how many persons will be required to complete the same work in 70 days?
Option 1: 70
Option 2: 50
Option 3: 40
Option 4: 80
Correct Answer: 50
Solution : The relation between men and the number of days is given by: $M_1D_1= M_2D_2$ Where $M_1$ and $M_2$ are men and $D_1$ and $D_2$ are days. According to the question, $25 × 140 = 70 × M_{2}$ $⇒ M_{2} = \frac{(25×140)}{70}$ $⇒ M_{2} = 25
Question : Find the value of $\frac{(243)^{\frac{n}{5}}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$.
Option 1: 3
Option 2: 9
Option 3: 27
Option 4: 4
Correct Answer: 9
Solution : Consider, $\frac{(243)^{\frac{n}{5}}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ $=\frac{((3)^5)^{\frac{n}{5}}\times 3^{2n+1}}{((3)^2)^{n}\times 3^{n-1}}$ $=\frac{3^n\times3^{2n+1}}{3^{2n}\times3^{n-1}}$ $=\frac{3^{n+2n+1}}{3^{2n+n-1}}$ $=\frac{3^{3n}\times 3}{3^{3n}\times3^{-1}}$ $=3 \times 3$ $=9$ Hence, the correct answer is 9.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Cancer has long been identified as a silent killer because the patient has no ______ of the danger freely invading his system.
Option 1: information
Option 2: traversing
Option 3: inkling
Option 4: strategy
Correct Answer: inkling
Solution : The second option is the correct choice.
Question : An example of an equality relation of two expressions in $x$. Which is not an identity, is:
Option 1: $(x+3)^{2}=x^{2}+6x+9$
Option 2: $(x+2y)^{3}=x^{3}+8y^{3}+6xy(x+2y)$
Option 3: $(x+2)^{2}=x^{2}+2x+4$
Option 4: $(x+3)(x–3)=x^{2}–9$
Correct Answer: $(x+2)^{2}=x^{2}+2x+4$
Solution : Given: $(x+3)^{2}=x^{2}+6x+9$ ⇒ $(x^{2}+9+6x)=x^{2}+6x+9$ Similarly, $(x+2y)^{3}=x^{3}+8y^{3}+6xy(x+2y)$ ⇒ $x^{3}+8y^{3}+6xy(x+2y)=x^{3}+8y^{3}+6xy(x+2y)$ Similarly, $(x+3)(x–3)=x^{2}-9$ Similarly, $(x+2)^{2}=x^{2}+2x+4$ ⇒ $(x^{2}+4+4x)=x^{2}+2x+4$ We can see this is not an identity. Hence, the correct answer is '$(x+2)^{2}=x^{2}+2x+4$'.
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word.) Chickenpox : Virus
Option 1: Anthrax : Virus
Option 2: Anthrax : Parasites
Option 3: Anthrax : Fungi
Option 4: Anthrax : Bacteria
Correct Answer: Anthrax : Bacteria
Solution : Given: Chickenpox : Virus (Chickenpox is caused by a virus.)
Let's check the options – First option: Anthrax : Virus; Anthrax is not caused by viruses. Second option: Anthrax : Parasites; Anthrax is not caused by parasites. Third option: Anthrax : Fungi; Anthrax
Question : How many fundamental rights were there at the time of the adoption of the Indian Constitution?
Option 1: Seven
Option 2: Five
Option 3: Six
Option 4: Eight
Correct Answer: Seven
Solution : The correct answer is Seven.
India's citizens were essentially granted seven fundamental rights when India's Constitution went into effect. But in 1978, the 44th Constitutional Amendment eliminated the right to own property as a fundamental freedom. The Right to Education Act was added in 2009.
Question : Famous musician Talvin Singh is associated with playing the __________.
Option 1: shehnai
Option 2: flute
Option 3: veena
Option 4: tabla
Correct Answer: tabla
Solution : The correct option is tabla.
Talvin Singh is a renowned musician known for playing the tabla, which is a traditional Indian percussion instrument. He is also a producer and composer, recognised for his contributions to the fusion of Indian classical music with electronic and
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? FOHV, CKER, ?, WCYJ, TYVF
Option 1: XHBM
Option 2: ZGBN
Option 3: AFCP
Option 4: AHCO
Correct Answer: ZGBN
Solution : Given: FOHV, CKER, ?, WCYJ, TYVF
Subtract 3 from the first and third letters and subtract 4 from the second and fourth letters of the previous term to obtain the next term in the series – FOHV→F – 3 = C; O – 4 =
Question : If $x^4+x^{-4}=194, x>0$, then the value of $x+\frac{1}{x}$ is:
Option 1: 14
Option 2: 6
Option 3: 4
Option 4: 8
Correct Answer: 4
Solution : $x^4+\frac{1}{x^4}=194$ ⇒ $(x^2+\frac{1}{x^2})^2-2=194$ ⇒ $(x^2+\frac{1}{x^2})^2=196$ ⇒ $x^2+\frac{1}{x^2}=14$ ⇒ $(x+\frac{1}{x})^2-2=14$ ⇒ $(x+\frac{1}{x})^2=16$ $\therefore$ $x+\frac{1}{x}=4$ Hence, the correct answer is 4.
Question : Select the INCORRECTLY spelt word.
Option 1: mysterious
Option 2: ridiculous
Option 3: mischivious
Option 4: humorous
Correct Answer: mischivious
Solution : The third option is the correct answer.
The incorrectly spelled word is mischivious.
The correct spelling is mischievous, which means playfully causing annoyance, harm, or trouble; naughty.
The meanings of the other options are as follows:
The Question containing Inaapropriate or Abusive Words
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