Staff Selection Commission Sub Inspector Exam
Question : Parallel sides of a trapezium are $26\;\mathrm{cm}$ and $40\;\mathrm{cm}$ and the area is $792\;\mathrm{cm^2}$. What is the value of the distance (in $\mathrm{cm}$) between parallel sides?
Option 1: $24\;\mathrm{cm}$
Option 2: $48\;\mathrm{cm}$
Option 3: $12\;\mathrm{cm}$
Option 4: $36\;\mathrm{cm}$
Correct Answer: $24\;\mathrm{cm}$
Solution : Given that the parallel sides are $26\;\mathrm{cm}$ and $40\;\mathrm{cm}$, and the area is $792\;\mathrm{cm^2}$. Let $d$ and $s$ as the distance between parallel sides and the sum of parallel sides. The sum of parallel sides $=26+40 =66\;\mathrm{cm}$ The area of a trapezium $=\frac{1}{2} \times s\times
Question : Directions: Find out the correct alternative figure which contains the given figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
Question : In a match, the average number of runs scored by five players is 49. If the runs scored by four players are 75, 30, 62, and 21 respectively, then how many runs did the fifth player score?
Option 1: 43
Option 2: 49
Option 3: 57
Option 4: 89
Correct Answer: 57
Solution : Given: The average of runs scored by 5 players = 49 Runs of four players = 75, 30, 62 and 21 Let the runs scored by the fifth player be $f$. Average runs = $\frac{\text{Total runs}}{\text{Total number of players}}$ ⇒ $49 =\frac{(75 + 30 +
Question : $\sqrt{12+\sqrt{12+\sqrt{12+...}}}$ is equal to:
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 2
Correct Answer: 4
Solution : Given: Let $x=\sqrt{12+\sqrt{12+\sqrt{12+...}}}$ So, $x=\sqrt{12+x}$ By squaring both sides, we get, $⇒ x^{2}=(\sqrt{12+x})^{2}$ $ ⇒x^{2}=12+x$ $ ⇒x^{2}-x-12=0$ $⇒x^{2}-4x+3x-12=0$ $⇒ x(x-4) +3(x-4) = 0$ $⇒ (x-4)(x+3) = 0$ $⇒ x = 4$ or $–3$ Hence, the correct answer is 4.
Question : A hall of 10 m in length, 5 m in width, and 6 m in height is to be painted (one side only). Determine the total surface area to be painted. (neglect the area of windows and doors)(floor area is NOT to be painted)
Option 1: 300 m2
Option 2: 280 m2
Option 3: 330 m2
Option 4: 230 m2
Correct Answer: 230 m2
Solution : Given: Length = 10 m Width = 5 m Height = 6 m Area of 4 walls = 2(l + w)h = 2 × (10 + 5) × 6 = 2 × 15 × 6 = 180 m2 Area of ceiling =
Question : Select the most appropriate synonym of the given word.
ABSURD
Option 1: ridiculous
Option 2: important
Option 3: meaningful
Option 4: rational
Correct Answer: ridiculous
Solution : The correct choice is the first option.
Explanation: The word absurd refers to something that is wildly unreasonable, illogical, or foolish. Ridiculous shares a similar meaning, as it describes something that deserves mockery or laughter due to its absurdity or irrationality.
The meanings of
Question : The given histogram shows the frequency distribution of the speed of cars passing through a particular spot on a highway. Read the graph and answer the following question. The number of cars with speed (km} / h)in the interval (60-70) km/h is what percentage less than the number of cars with speed (km/ h) in the interval (70-80) km/h? (correct to one decimal place)
Option 1: 5.9%
Option 2: 5.6%
Option 3: 7.5%
Option 4: 8.6%
Correct Answer: 5.6%
Solution : Number of cars in the interval (60-70) km/h = 85 Number of cars in the interval (70-80) km/h = 90 Required percentage = $\frac{\text{Number of cars in the interval (70-80) km/h – number of cars in the interval (60-70) km/h}}{\text{Number of cars in the interval
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
You must cut off your expenses if you want to save money.
Option 1: cut out
Option 2: cut down on
Option 3: cut for
Option 4: cut up
Correct Answer: cut down on
Solution : The correct choice is the second option.
Explanation:
The phrasal verb cut down on is the most appropriate choice in the context of reducing or eliminating expenses. It conveys the idea of making a reduction or decrease in something, in this case,
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. P can be represented by 55, 69, etc, and L can be represented by 59, 68, etc. Similarly, you have to identify the set for the word PEST.
Option 1: 87, 56, 03, 04
Option 2: 55, 79, 23, 22
Option 3: 69, 98, 41, 40
Option 4: 96, 65, 32, 00
Correct Answer: 55, 79, 23, 22
Solution : Given: PEST
Number representations of each letter – P→55, 69, 78, 87, 96 E→56, 65, 79, 88, 97 S→00, 14, 23, 32, 41 T→04, 13, 22, 31, 40
Let's check the options – First option: 87, 56, 03, 04 – S
Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? rtx _ sx _ z _ txy _ _ yz
Option 1: yyrxs
Option 2: yysxr
Option 3: yyrsx
Option 4: yyxrs
Correct Answer: yyrsx
Solution : Given:– rtx _ sx _ z _ txy _ _ yz
To fill the series we have to divide the series→rtx _ sx _ z / _ txy _ _ yz Let's check each option – First option: yyrxs; rtxysxyz /
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