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Staff Selection Commission Sub Inspector Exam

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39 Views

Question : A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed?

Option 1: 23

Option 2: 24

Option 3: 30

Option 4: $22 \frac{1}{2}$

Team Careers360 22nd Jan, 2024

Correct Answer: 23


Solution : Given :
A can complete work = 30 days
B can complete work = 45 days
C can complete work = 90 days
Total work =  LCM of 30, 45 and 90 = 90 units
Efficiency of A $=\frac{90}{30} = 3$ units
Efficiency of B

27 Views

Question : Which of the following cities in India have the headquarters of more than one Railway Zone?

Option 1: Mumbai

Option 2: Neither Kolkata nor Mumbai

Option 3: Kolkata

Option 4: Both Kolkata and Mumbai

Team Careers360 19th Jan, 2024

Correct Answer: Both Kolkata and Mumbai


Solution : The correct answer is both Kolkata and Mumbai.

Kolkata and Mumbai each have the principal offices for two railway zones. Eastern Railway and South Eastern Railway have their headquarters in Kolkata, while Central Railway and Western Railway have their headquarters in

3 Views

Question : The method of amending the constitution by popular veto is found in

Option 1: Britain

Option 2: Switzerland

Option 3: Russia

Option 4: India

Team Careers360 25th Jan, 2024

Correct Answer: Switzerland


Solution : The correct option is Switzerland.

Switzerland has established provisions for referendums or popular votes. In a form of direct democracy known as the "popular veto", citizens can also influence legislation by submitting petitions.

21 Views

Question : The radius of a hollow sphere is 21 cm. It is cut into two equal halves by a plane passing through its centre. What is 75% of the curved surface area (in cm2, rounded off to the nearest tens) of the hemisphere? (Take $\pi=\frac{22}{7}$ )

Option 1: 4160

Option 2: 3470

Option 3: 2080

Option 4: 2770

Team Careers360 20th Jan, 2024

Correct Answer: 2080


Solution : Here, radius, $r$ = 21 cm
The curved surface area of a hemisphere $= 2\pi r^2=2×\frac{22}{7}×21^2=2772\ \text{cm}^2$
75% of the curved surface area $= 2772×\frac{75}{100}=2079\ \text{cm}^2$
If we round off it to the nearest tens, we get 2080 cm2.
Hence, the correct answer

22 Views

Question : A person was standing on a road near a mall. He was 1215 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The tree's height is 20 m and it is 60 m away from him. How tall (in m) is the mall?

Option 1: 300

Option 2: 375

Option 3: 405

Option 4: 250

Team Careers360 19th Jan, 2024

Correct Answer: 405


Solution :
Let the height of the mall be AB.
In $\triangle DEC$,
$\tan\theta = \frac{DE}{CE}$
⇒ $\tan\theta = \frac{20}{60}$
⇒ $\tan\theta = \frac{1}{3}$
In $\triangle ABC$,
$\tan\theta = \frac{AB}{BC}$
⇒ $\frac{1}{3} = \frac{AB}{1215}$
⇒ AB = 405 m
Hence, the correct answer is 405.

13 Views

Question : Directions: Select the figure that will come next in the following figure series.

 

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the question figure –
1. The circle is shifted one position in an anticlockwise direction.
2. The triangle is shifted in one position in an anticlockwise direction.
So, following the above pattern, the required figure will be as follows –

Therefore, the figure in

8 Views

Question : Cooking gas is a mixture of:

Option 1: methane and ethylene

Option 2: carbon dioxide and oxygen 

Option 3: butane and propane

Option 4: carbon monoxide and carbon dioxide 

Team Careers360 24th Jan, 2024

Correct Answer: butane and propane


Solution : The correct option is butane and propane.

Cooking gas typically refers to liquefied petroleum gas (LPG), which is a mixture of primarily two hydrocarbons: propane (C3H8) and butane (C4H10). These gases are commonly used

4 Views

Question : Directions: In each of the following questions, Which answer figure will complete the series?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figures –
1. The number of small circles surrounding the small square is increased by one in each figure series as compared to the previous figure in an anticlockwise direction.
2. The position of small circles outside the sides of the square

17 Views

Question : In the given figure, the area of isosceles triangle $\text{PQT}$ is $128\;\mathrm{cm^2}$ and $\text{QT = PQ}$, $\text{PQ= 4 PS}$ and $\text{PT || SR}$. Then what is the area (in $\mathrm{cm^2}$ ) of the quadrilateral $\text{PTRS}$?

Option 1: $80$

Option 2: $64$

Option 3: $124$

Option 4: $72$

Team Careers360 25th Jan, 2024

Correct Answer: $64$


Solution : Given that $\mathrm{PQT}$ is an isosceles triangle with $\mathrm{QT = PQ}$, and $\mathrm{PQ= 4 PS}$.
The height of the triangle $\mathrm{PQT}$ is four times the height of the quadrilateral $\mathrm{PTRS}$.
The area of a triangle $=\frac{1}{2} \times \text{base} \times \text{height}$
The area of the triangle

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