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Staff Selection Commission Sub Inspector Exam

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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%

Team Careers360 24th Jan, 2024

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

17 Views

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

Team Careers360 24th Jan, 2024

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 $h$

9 Views

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:

Team Careers360 23rd Jan, 2024

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.

9 Views

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

Team Careers360 22nd Jan, 2024

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

32 Views

Question : Operating surplus arises in the 

Option 1: Government sector .

Option 2: Production  for self consumption .

Option 3: Subsistence farming .

Option 4: Enterprise sector .

Team Careers360 21st Jan, 2024

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

14 Views

Question : Select the INCORRECTLY spelt word

Option 1: Washing

Option 2: Waiting

Option 3: Dieing

Option 4: Seeing

Team Careers360 21st Jan, 2024

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

30 Views

Question : Select the most appropriate synonym of the given word.
Robe

Option 1: Robbery

Option 2: Mishap

Option 3: Success

Option 4: Cloak

Team Careers360 21st Jan, 2024

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

43 Views

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

Team Careers360 23rd Jan, 2024

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

18 Views

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: $15^{\circ}$

Team Careers360 24th Jan, 2024

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 $BC$

14 Views

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: $0$

Team Careers360 23rd Jan, 2024

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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