Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option figure that is embedded in the given figure as its part (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure. By comparison of all the option figures, only the fourth option figure is embedded in the given question figure.
Question : The sides of a triangular park are 60 m, 112 m and 164 m. The cost of levelling the park at the rate of INR 8.50/m2 is:
Option 1: INR 18,164
Option 2: INR 17,085
Option 3: INR 17,136
Option 4: INR 18,316
Correct Answer: INR 17,136
Solution : Given: a = 60 m b = 112 m c = 164 m Rate = INR 8.50/m2 Now, Semi perimeter, $(S) = \frac{60\ +\ 112\ +\ 164 }{2} =\ 168$ Area of the triangle $A\ = \sqrt{168(168\ -\ 60)(168\ -\ 112)(168\ -\ 164)}
Question : Which of the following statements is true regarding disinflation?
Option 1: A scenario when inflation is mainly due to inflation of only a few commodities and not of all commodities.
Option 2: An overall decrease in prices over a specific period.
Option 3: A decrease in the rate of inflation in a specific period.
Option 4: A sudden sharp decrease in prices due to unexpected reasons.
Correct Answer: A decrease in the rate of inflation in a specific period.
Solution : The correct answer is A decrease in the rate of inflation in a specific period.
Disinflation is a decrease in the rate of inflation or a slowdown in the rate of increase in the
Question : At what percentage rate, compound interest compounded annually for a sum of Rs. 40,000, will amount to Rs. 44,100 in two years?
Option 1: 5%
Option 2: 2%
Option 3: 4%
Option 4: 7.5%
Correct Answer: 5%
Solution : When compounded annually, $ A= P(1+\frac{R}{100})^{T}$, Where $A$ is the total amount, $P$ is the principal amount, $R$ is the rate of interest per annum, and $T$ is the time in years. According to the question, $⇒44100=40000(1+\frac{R}{100})^{2}$ $⇒(1+\frac{R}{100})^{2}=\frac{44100}{40000}$ $⇒(1+\frac{R}{100})^{2}=\frac{441}{400}$ $⇒\frac{R}{100}=\frac{21}{20}-1$ $⇒\frac{R}{100}=\frac{1}{20}$ $\therefore R=5\%$ Hence, the
Question : If $x^2-2\sqrt{10}x+1=0$, what is the value of $(x-\frac{1}{x})$?
Option 1: $4$
Option 2: $6$
Option 3: $3$
Option 4: $5$
Correct Answer: $6$
Solution : Given: $x^2-2\sqrt{10}x+1=0$ Dividing both sides by $x$, we get, $⇒x-2\sqrt{10}+\frac{1}{x}=0$ $⇒x+\frac{1}{x}=2\sqrt{10}$ Squaring both sides, we get, $⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=(2\sqrt{10})^2$ $⇒x^2+\frac{1}{x^2}=38$ Subtracting 2 from both sides, we get, $⇒x^2+\frac{1}{x^2}-2=38-2$ $⇒x^2+\frac{1}{x^2}-2×x×\frac{1}{x}=36$ $⇒(x-\frac{1}{x})^2=36$ $\therefore x-\frac{1}{x}=\sqrt{36}=6$ Hence, the correct answer is $6$.
Question : Directions: If W = 46, BAT = 46, then LAMB will be equal to.
Option 1: 54
Option 2: 56
Option 3: 52
Option 4: 28
Correct Answer: 56
Solution : Given: W = 46, BAT = 46
Multiply the sum of the positional value of the letters by 2 of BAT, to obtain the required code – B→2; A→1; T→20 (2 + 1 + 20) × 2 = 23 × 2 = 46 And in,
Question : The following table shows the marks obtained out of 100, by 5 students in 5 different subjects.
What are the total marks scored by Ayush in all the subjects?
Option 1: 435
Option 2: 465
Option 3: 445
Option 4: 425
Correct Answer: 425
Solution : The total marks scored by Ayush in all the subjects = 88 + 80 + 90 + 82 + 85 = 425 Hence, the correct answer is 425.
Question : Directions: Identify the diagram that best represents the relationship among the classes given. Whales, Fishes, Crocodiles
Solution : Whales, fishes, and crocodiles are all different types of animals found in water bodies. They all are inherently different based on their size, eating habits, and the type of water body in which they live, so all three circles will be separate from each other.
The
Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All teas are juices. All juices are cocktails. Conclusions: I. All teas are cocktails. II. All cocktails are definitely juices.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All teas are cocktails – From the Venn diagram, it is evident that the circle representing tea is completely inside the circle
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select 'No Error (S)' as your answer.
Ancient jewellery or decoration (P) / has a new meaning (Q) / with the discovery bone ornaments. (R) / No Error (S)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error lies in the third part of the sentence.
The preposition "of" should be introduced before "bone" to make the sentence grammatically correct. The sentence conveys that the new meaning comes from the discovery of bone ornaments. Thus, the preposition "of" should be used.
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