Staff Selection Commission Sub Inspector Exam
Question : Which compound structure includes a saturated short-chain fatty acid with 4-carbon molecules, commonly found in esterified form in animal fats and plant oils?
Option 1: Butyric acid
Option 2: Propionic acid
Option 3: Succinic acid
Option 4: Lactic acid
Correct Answer: Butyric acid
Solution : The correct answer is Butyric acid.
Butyric acid is a short-chain saturated fatty acid with a structure consisting of four carbons. It is usually found in animal fats and plant oils in its esterified form. Because one of the distal methyl molecules in butane
Question : Directions: Select the option that represents the letters which, when sequentially placed from left to right in the blanks below, will complete the letter series. A_ _DF_K_ _FA_ L_ _
Option 1: DLKLFALD
Option 2: LALKDFDK
Option 3: KLALDKDF
Option 4: FDLAKFDL
Correct Answer: KLALDKDF
Solution : Given: A_ _DF_K_ _FA_ L_ _
To fill the series, we have to divide the series – A _ _ DF / _ K _ _ F / A _ L _ _ Let's check each option – First option: DLKLFALD; ADLDF /
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 12 – 48
Option 2: 7 – 28
Option 3: 5 – 20
Option 4: 11 – 55
Correct Answer: 11 – 55
Solution : Let's check the options – First option: 12 – 48; 48 ÷ 12 = 4 Second option: 7 – 28; 28 ÷ 7 = 4 Third option: 5 – 20; 20 ÷ 5 = 4 Fourth option: 11 – 55; 55 ÷ 11
Question : The radius of the ends of a frustum of a solid right-circular cone 45 cm high is 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3: 5, find the curved surface area (in ${cm}^2$ ) of this cylinder. [Use $\pi=\frac{22}{7}$.]
Option 1: 4580
Option 2: 4610
Option 3: 4640
Option 4: 4620
Correct Answer: 4620
Solution : According to the question, Area of the frustum = Volume of the cylinder ⇒ $\frac{1}{3}\pi$ ((7)2 + (28)2 + 7×28) 45 = $\pi r^{2} h$ where $r$, $h$ are the radius and heights of the cylinder ⇒ $\frac{1}{3}\pi(49 + 754 + 196)$ 45
Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
Option 1: 10 cm
Option 2: 12.5 cm
Option 3: 14.5 cm
Option 4: 24 cm
Correct Answer: 12.5 cm
Solution : Given: $\Delta ABC$ is a right triangle and BC is the hypotenuse. BC = 25 cm we know that $\text{Median of right triangle} =\ \frac{\text{Hypotenuse}}{2}$ $=\ \frac{BC}{2}$ $=\ \frac{25}{2}$ $=\ 12.5$ cm Hence the length of the median is 12.5 cm.
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 $\frac{1}{5}$.
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