Staff Selection Commission Sub Inspector Exam
Question : Vijay and Sahil together complete a piece of work in 40 days, Sahil and Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same in 60 days. In how many days can all three complete the same work while working together?
Option 1: 16 days
Option 2: 24 days
Option 3: 32 days
Option 4: 38 days
Correct Answer: 32 days
Solution : Given: Vijay(V) and Sahil(S) complete a work in 40 days. Sahil(S) and Ranjit(R) can complete the same work in 48 days. Ranjit(R) and Vijay(V) can complete the same work in 60 days. Total work is LCM of (40, 48, 60) = 240 units Efficiency
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.
The members could not arrive at a ________ regarding the issue.
Option 1: judgment
Option 2: action
Option 3: policy
Option 4: consensus
Correct Answer: consensus
Solution : The correct choice is the fourth option.
It means a general agreement, the judgement arrived at by most of those concerned. This is the correct option, as it aligns with the context of the sentence, indicating that the members could not reach a general agreement
Question : A place where there is constant intermingling of salt water and fresh water is ____
Option 1: Estuary
Option 2: Delta
Option 3: Gulf
Option 4: Bay
Correct Answer: Estuary
Solution : The correct answer is estuary.
Estuaries are found usually on the Western Ghats. It is a partially enclosed place where fresh water from rivers and ocean water meets. These regions are ecologically more productive and form a zone of transition from fresh water to salty
Question : Directions: In the following question, one statement is given followed by two conclusions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can be drawn from the given statement. Statement: Self-managing people control their first impulse for action and delay premature conclusions. Conclusions: I. Self-managing people do not take actions without thinking. II. Instant conclusions are taken by self-managing people.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Neither I nor II follows
Option 4: Both I and II follow
Correct Answer: Only I follows
Solution : According to the given statement – Conclusion I: Self-managing people do not take action without thinking. Self-managing people regulate their thoughts and emotions. Hence, they think before making any decisions/actions. Therefore, this conclusion follows. Conclusion II: Instant conclusions are taken by self-managing people.
Question : If $A+\frac{1}{1+\frac{1}{2+\frac{1}{3}}}=\frac{9}{10}$, then the value of A is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{10}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{10}$
Correct Answer: $\frac{1}{5}$
Solution : Given: $A+\frac{1}{1+\frac{1}{2+\frac{1}{3}}}=\frac{9}{10}$ ⇒ $A+\frac{1}{1+\frac{1}{\frac{7}{3}}}=\frac{9}{10}$ ⇒ $A+\frac{1}{1+\frac{3}{7}}=\frac{9}{10}$ ⇒ $A+\frac{1}{\frac{10}{7}}=\frac{9}{10}$ ⇒ $A+\frac{7}{10}=\frac{9}{10}$ ⇒ $A=\frac{9}{10}-\frac{7}{10}=\frac{2}{10}=\frac{1}{5}$ Hence, the correct answer is $\frac{1}{5}$.
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. Master : Disciple :: ? : ?
Option 1: Coach : Player
Option 2: Cup : Plate
Option 3: Tea : Coffee
Option 4: Doctor : Medicine
Correct Answer: Coach : Player
Solution : Given: Master : Disciple (A master is someone who teaches or mentors, and a disciple is someone who learns or follows the master's teachings.)
Let's check the options – First option: Coach : Player; A coach is someone who guides and trains and
Question : If $\frac{A}{L}+\frac{M}{B}=1$ and $\frac{B}{M}+\frac{N}{C}=1$, then the value of $\frac{L}{A}+\frac{C}{N}$ is:
Option 1: $\frac{B}{M}$
Option 2: 0
Option 3: 1
Option 4: $\frac{M}{B}$
Correct Answer: 1
Solution : Given: $\frac{A}{L}+\frac{M}{B}=1$............................(equation 1) $\frac{B}{M}+\frac{N}{C}=1$.................................(equation 2) Now, $\frac{A}{L}+\frac{M}{B}=1$ ⇒ $\frac{A}{L}=\frac{B-M}{B}$ ⇒ $\frac{L}{A}=\frac{B}{B-M}$ Similarly, $\frac{C}{N}=\frac{M}{M-B}$ Putting the values in $\frac{L}{A} + \frac{C}{N}$, we get: $\frac{L}{A} + \frac{C}{N} =\frac{B}{B-M}+\frac{M}{M-B} $ $⇒\frac{L}{A} + \frac{C}{N} =\frac{B}{B-M}-\frac{M}{B-M} $ $\therefore\frac{L}{A} + \frac{C}{N} =\frac{B-M}{B-M}=1$ Hence, the correct answer is 1.
Question : A fast local of Mumbai takes 45 minutes less than a slow local for a journey of 150 km. If the speed of the fast local is 10 km/hr more than that of the slow local, find the speed (in km/hr) of the slow local train.
Option 1: 30
Option 2: 35
Option 3: 45
Option 4: 40
Correct Answer: 40
Solution : Let's denote the speed of the slow local train as S km/hr. ⇒ The fast local train's speed is (S + 10) km/hr, as given in the problem. The time taken by the slow local train to cover a distance of 150 km: We know,
Question : Directions: Find the missing number from the given responses in the following question.
Option 1: 120
Option 2: 80
Option 3: 94
Option 4: 102
Correct Answer: 120
Solution : Square the numbers of the first row to get the numbers in the second row. Subtract 2 in the number given in the first row and multiply the resultant by the number given in the first row to get the number of the third row.
Question : Which of the following is a fish?
Option 1: Sliver fish
Option 2: Star fish
Option 3: Dog fish
Option 4: Cuttle fish
Correct Answer: Dog fish
Solution : The correct option is Dog fish.
Dogfish is a type of fish. Dogfish is a common name for various species of small to medium-sized sharks, belonging to the family Squalidae. They are true fish and are found in oceans around the world. "Cuttlefish" is
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