Staff Selection Commission Sub Inspector Exam
Question : By selling an article for Rs. 1,134, Anu suffers as much loss as she would have gained by selling it at a 10% profit. If she sells it for Rs. 1,354.50, then her profit percentage is:
Option 1: 9%
Option 2: 8%
Option 3: 7.5%
Option 4: 8.4%
Correct Answer: 7.5%
Solution : Let the cost price of the article as C. According to the problem, Anu suffered as much loss by selling the article for Rs. 1,134 as she would have gained by selling it at a 10% profit. ⇒ C = 1134 × $\frac{100}{90}$ ⇒ C
Question : A right circular cylinder of the maximum possible size is cut out from a solid wooden cube. The remaining material of the cube is what percentage of the original cube? (Take $\pi=3.14$)
Option 1: 22.4
Option 2: 21.5
Option 3: 22.8
Option 4: 21.8
Correct Answer: 21.5
Solution : Let the dimensions of the wooden cube = $a \times a \times a$ The volume of the wooden cube = $a^3$ The diameter of the cylinder and its height = $a$ The volume of the cylinder = $\pi r ^2 h$, where $r$ and $h$
Question : Directions: Select the option 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 first option figure is embedded in the given question figure.
Question : Directions: In the following question a word is followed by four other words, one of which cannot be formed by using the letters of the given word. Find this word. ORGANISATION
Option 1: STRONG
Option 2: ORANGE
Option 3: NOTION
Option 4: GROAN
Correct Answer: ORANGE
Solution : Given: ORGANISATION
Let's compare all the option words with the word ORGANISATION –
First option: STRONG; All the letters of STRONG are present in the word ORGANISATION. Second option: ORANGE; E is not present in the word ORGANISATION. Therefore, this word cannot be formed from
Question : Operating surplus arises in the
Option 1: Government sector .
Option 2: Production for self consumption .
Option 3: Subsistence farming .
Option 4: Enterprise sector .
Correct Answer: Government sector .
Solution : Correct Answer is Government sector .
The difference among both revenue and expenses, or the surplus or deficit, resulting from production, is calculated as an organization's operating surplus. An accounting concept known as operating surplus is used in corporate and government accounts as
Question : Select the INCORRECTLY spelt word
Option 1: Washing
Option 2: Waiting
Option 3: Dieing
Option 4: Seeing
Correct Answer: Dieing
Solution : The correct choice will be the third option.
Explanation: The correct spelling of the word describing the process of death or the state of being dead is dying, with a single i. Dieing is a common misspelling, and the correct form follows the
Question : Select the most appropriate synonym of the given word. Robe
Option 1: Robbery
Option 2: Mishap
Option 3: Success
Option 4: Cloak
Correct Answer: Cloak
Solution : The correct choice is the fourth option.
A robe typically refers to a loose, flowing outer garment that can be worn for various purposes. A cloak is also a loose outer garment, but it usually has the additional connotation of being a garment that covers
Question : A thief, seeing a policeman from a distance of 120 m, starts running at a speed of 7 km/hr. The policeman chases immediately with a speed of 8 km/hr and the thief is caught. What is the distance run by the thief?
Option 1: 820 m
Option 2: 780 m
Option 3: 840 m
Option 4: 800 m
Correct Answer: 840 m
Solution : The relative speed of the policeman and the thief = 8 – 7 = 1 km/hr = 1 × $\frac{5}{18}$ m/s = $\frac{5}{18}$ m/s The time it takes for the policeman to catch the thief = $\frac{120}{\frac{5}{18}}$ = 432 s The speed of the
Question : Chords AC and BD of a circle with centre O, intersect at right angles at E. If $\angle OAB=25^{\circ}$, then the value of $\angle EBC$ is:
Option 1: $30^{\circ}$
Option 2: $25^{\circ}$
Option 3: $20^{\circ}$
Option 4: $15^{\circ}$
Correct Answer: $25^{\circ}$
Solution : Construction: Join $OB$ Using figure, $OA = OB =$ radius $\angle OAB = \angle OBA = 25^\circ$ In $\triangle AOB$ $\angle AOB + \angle OBA+\angle OBA = 180^\circ$ $\therefore \angle AOB = 180^\circ - 25^\circ- 25^\circ = 130^\circ$ To find: $\angle EBC$ Construction: Join $BC$
Question : If $\sec x+\cos x=2$, then the value of $\sec^{16} x+\cos^{16} x$ will be:
Option 1: $\sqrt3$
Option 2: $2$
Option 3: $1$
Option 4: $0$
Correct Answer: $2$
Solution : Given: $\sec x+\cos x=2$ We know the algebraic identity, $(a-b)^2=a^2+b^2-2ab$. $\frac{1}{\cos x}+\cos x=2$ Or, $\frac{1+\cos^2 x}{\cos x}=2$ Or, $\cos^2 x–2\cos x+1=0$ Or, $(\cos x-1)^2=0$ $\therefore \cos x=1$ So, $\sec x=1$. The value of $\sec^{16} x+\cos^{16} x$ = $1+1=2$ Hence, the correct answer is $2$.
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