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Staff Selection Commission Sub Inspector Exam

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Question : 60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form a right circular cylinder. What is its volume in m3 if $\pi=\frac{22}{7}$?

Option 1: 7.62 × 10–2

Option 2: 8.05 × 10–3

Option 3: 6.93 × 10–3

Option 4: 4.25 × 10–2

Team Careers360 20th Jan, 2024

Correct Answer: 6.93 × 10–3


Solution : Given,
The diameter of the disc = 21 cm
⇒ Radius of the disc, $r$ = $\frac{21}{2}$ cm
Height of 60 discs if they stacked one above the other = 60 × $\frac{1}{3}$ = 20 cm
So, the volume of the cylinder

11 Views

Question : The ______ was a territorial assignment given to administrative officers and nobles instead of the services they performed for the state during the Delhi Sultanate.

Option 1: Usharaf

Option 2: Iqta

Option 3: Muhtasib

Option 4: Nazir

Team Careers360 16th Jan, 2024

Correct Answer: Iqta


Solution : The correct answer is Iqta.

The Iqta system, a unique land distribution and administrative structure, was implemented during the Iltutmish era. The realm of the Delhi Sultanate was divided into several small and large sections known as Iqtas. The Iqta system assigned these Iqtas

9 Views

Question : If $2^{2x-y}=16$ and $2^{x+y}=32$, the value of $xy$ is:

Option 1: $2$

Option 2: $4$

Option 3: $6$

Option 4: $8$

Team Careers360 18th Jan, 2024

Correct Answer: $6$


Solution : Given: $2^{2x-y}=16$
$⇒2^{2x-y}=2^4$
$⇒2x-y=4$--------------------(1)
Again, $2^{x+y}=32$
$⇒2^{x+y}=2^5$
$⇒x+y=5$ ---------------------(2)
Solving equations (1) and (2), we get:
$x=3$ and $y= 2$
$\therefore xy=3×2=6$
Hence, the correct answer is $6$.

8 Views

Question : What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?

Option 1: 400

Option 2: 625

Option 3: 900

Option 4: 180

Team Careers360 17th Jan, 2024

Correct Answer: 900


Solution : In this type of problem, we find the LCM of five numbers first and then we look for what makes the LCM a perfect square.
1st term = 10 = 5 × 2
2nd term = 12 = 2 × 2 × 3
3rd term

138 Views

Question : The product of two numbers is 20000. If their LCM is 800, then what is their HCF?

Option 1: 25

Option 2: 30

Option 3: 35

Option 4: 20

Team Careers360 20th Jan, 2024

Correct Answer: 25


Solution : The product of two numbers is = 20000
LCM = 800
As we know the product of the highest common factor (HCF) and least common multiple (LCM) of two numbers is equal to the product of the two numbers.
So, 800 × HCF = 20000

5 Views

Question : Directions: How many triangles are there in the given figure?

Option 1: 10

Option 2: 12

Option 3: 14

Option 4: 16

Team Careers360 16th Jan, 2024

Correct Answer: 12


Solution : The given figure can be labeled as shown below –

In the figure, there are 12 triangles. They are AEG, EHB, DGF, FHC, AGD, BHC, AED, EBC, BFC, AFD, DEC, AFB.

Hence, the second option is correct.

19 Views

Question : At the time of the launch of the Smart Cities Mission in 2015, how many cities were proposed to be covered under this scheme?

Option 1: 100

Option 2: 50

Option 3: 75

Option 4: 25

Team Careers360 7th Jan, 2024

Correct Answer: 100


Solution : The correct option is 100.

The Smart Cities Mission was launched by the Government of India on June 25, 2015. Initially, the plan was to develop 100 smart cities across the country. These cities were selected through a competitive process, and each selected city

19 Views

Question : Which among the following is a male part of a flower?

Option 1: Stigma

Option 2: Stamen

Option 3: Pistil

Option 4: Style

Team Careers360 16th Jan, 2024

Correct Answer: Stamen


Solution : The correct option is the stamen.

The male part of a flower is called the "stamen." The stamen typically consists of two main parts: the filament and the anther. The filament is a slender stalk that supports the anther, which is where pollen is produced.

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