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Staff Selection Commission Sub Inspector Exam

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Question : The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.

Option 1: $25 \pi$

Option 2: $\frac{75 \pi}{4}$

Option 3: $\frac{50 \pi}{4}$

Option 4: $\frac{25 \pi}{4}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{75 \pi}{4}$


Solution : Given,
The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm.
We know the total surface area (TSA) of the hemisphere (radius $r$)= $3\pi r^2$
And, the length of the diagonal of the

15 Views

Question : Study the graph and answer the question.


The ratio of the total production of rice in states C and E to the total production of wheat in states B and D is___________.

Option 1: 11 : 10

Option 2: 20 : 17

Option 3: 22 : 19

Option 4: 13 : 12

Team Careers360 24th Jan, 2024

Correct Answer: 20 : 17


Solution : The total production of rice in states C and E = 575 + 525 = 1100
The total production of wheat in states B and D = 375 + 560 = 935
Required ratio = 1100 : 935 = 20 : 17
Hence,

15 Views

Question : Who wrote the book named 'Exile'?

Option 1: Barkha Dutt

Option 2: Valmik Thapar

Option 3: Taslima Nasrin

Option 4: Ranbir Singh Sidhu

Team Careers360 16th Jan, 2024

Correct Answer: Taslima Nasrin


Solution : The correct answer is Taslima Nasrin

"Exile" was written by Taslima Nasrin, a Bangladeshi novelist and activist, in 1994. It is a memoir of her life and experiences in Bangladesh as a writer and feminist.

19 Views

Question : What is the approximate length of the Konkan Railway?

Option 1: 580 km

Option 2: 760 km

Option 3: 940 km

Option 4: 1050 km

Team Careers360 15th Jan, 2024

Correct Answer: 760 km


Solution : The correct answer is 760 km.

Konkan railway runs through Maharashtra, Karnataka, and Goa. It has a total length of 760 km. It is considered an engineering marvel because of the tough terrain through which it passes. It crosses 146 rivers, 2000 bridges

5 Views

Question : How many members can be appointed in Rajya Sabha from Uttar Pradesh?

Option 1: 18

Option 2: 39

Option 3: 31

Option 4: 22

Team Careers360 17th Jan, 2024

Correct Answer: 31


Solution : The correct answer is 31.

The Rajya Sabha is the Upper House of the Parliament of India, consisting of a maximum of 250 members, out of which 238 are representatives of the states and union territories, and the remaining 12 are nominated by the

10 Views

Question : Directions: In the following question, select the related letter/word/number from the given alternatives.
B : 16 :: D : ?

Option 1: 256

Option 2: 64

Option 3: 120

Option 4: 128

Team Careers360 24th Jan, 2024

Correct Answer: 256


Solution : Given:
B : 16 :: D : ?

Like, B : 16→The place value of B is 2 and 24 = 16.
Similarly, follow the same pattern for D : ?→The place value of D is 4 and 44 = 256.

So, D

36 Views

Question : An item with a marked price of Rs.1,940 was sold at a discount of 15%. At what price (in Rs.) was the item sold?

Option 1: 1659

Option 2: 1639

Option 3: 1649

Option 4: 1654

Team Careers360 25th Jan, 2024

Correct Answer: 1649


Solution : The selling price of an item after a discount = Marked price – Discount
The discount is usually a percentage of the marked price. In this case, the discount is 15% of Rs.1,940.
Discount = $\frac{15}{100}$ × 1940 = Rs. 291
Substituting the values into

20 Views

Question : The decommissioned lock bridge has been built over which of the following rivers?

Option 1: Kaveri

Option 2: Mahanadi

Option 3: Krishna

Option 4: Godavari

Team Careers360 21st Jan, 2024

Correct Answer: Godavari


Solution : The correct answer is Godavari.

The Old Godavari Bridge, also known as the Havelock Bridge, is a disused structure spanning the Godavari River in Andhra Pradesh, India. Operational since 1900, the bridge has facilitated train travel between Howrah and Madras. Among the trio of bridges

13 Views

Question : Directions: Select the number that can replace the question mark (?) in the following series.
105, 107, 103, ?, 101, 111

Option 1: 102

Option 2: 97

Option 3: 113

Option 4: 109

Team Careers360 20th Jan, 2024

Correct Answer: 109


Solution : Given:
105, 107, 103, ?, 101, 111

Add and subtract consecutive even numbers alternately starting from 2 –
105 + 2 = 107; 107 – 4 = 103; 103 + 6 = 109; 109 – 8 = 101; 101 + 10 = 111

So, 109

12 Views

Question : The simplified form of $(7 x+4 y)^2+(7 x-4 y)^2$ is:

Option 1: $98 x^2+32 y^2$

Option 2: $98 x^2+32 y^2-5 x y$

Option 3: $32 x^2+98 y^2$

Option 4: $98 x^2-32 y^2$

Team Careers360 14th Jan, 2024

Correct Answer: $98 x^2+32 y^2$


Solution : $(7x + 4y)^2 = 49x^2 + 16y^2+ 2 × 7x × 4y = 49x^2 + 16y^2 + 56xy$
$(7x - 4y)^2 = 49x^2 + 16y^2 - 2 × 7x × 4y = 49x^2 +16y^2 - 56xy$
So, $(7x + 4y)^2 + ( 7x

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