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Staff Selection Commission Combined Graduate Level Exam

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Question : In the figure, $\mathrm{XYZ}$ is a secant and $\mathrm{ZT}$ is a tangent to the circle at $\mathrm{T}$. If $\mathrm{TZ}=12$ $\mathrm{cm}$ and $Y Z=8 \mathrm{~cm}$, then find the length of $XY$.

Option 1: 8 cm

Option 2: 9 cm

Option 3: 6 cm

Option 4: 10 cm

Team Careers360 25th Jan, 2024

Correct Answer: 10 cm


Solution : According to the question,
$ZX \times ZY = ZT^2$
⇒ $8 \times (YZ + XY) = 12^2$
⇒ $8 \times (8 + x) = 144$
⇒ $8 + x = 18$
⇒ $x = 10$ cm
Hence, the correct answer is 10 cm.

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Question : Two persons A and B working separately can sanitise a building in 6 hours and 10 hours, respectively. They work in stretches of one hour alternately. If A begins at 8 a.m., then when will the work be finished?

Option 1: $9\frac{1}{3}$ h

Option 2: $7\frac{1}{3}$ h

Option 3: $6\frac{1}{3}$ h

Option 4: $8\frac{1}{3}$ h

Team Careers360 25th Jan, 2024

Correct Answer: $7\frac{1}{3}$ h


Solution : Person A can sanitise a building in 6 hrs.
Person B can sanitise a building in 10 hrs.
Total work = Efficiency$\times$Times
Let the total work = LCM of 6 and 10 = 30 units
Efficiency of A = $\frac{30}{6}$ = 5 units
Efficiency

15 Views

Question : Which one of the following bio reserves of India is not included in the World Network of Biosphere Reserve?

Option 1: Sundarbans

Option 2: Gulf of Mannar

Option 3: Nanda Devi

Option 4: Corbett

Team Careers360 25th Jan, 2024

Correct Answer: Corbett


Solution : The correct answer is Corbett.

The Biosphere Reserve program was initiated by UNESCO in 1971; it was known as the Man and Biosphere Reserve program. It is a designation given to large land-based or aquatic ecosystems having natural and cultural significance. Presently, India has

39 Views

Question : Plantation of trees on a large scale to check soil erosion are called:

Option 1: Shelter belts

Option 2: Contour ploughing 

Option 3: Strip cropping 

Option 4: Afforestation 

Team Careers360 25th Jan, 2024

Correct Answer: Afforestation 


Solution : The correct answer is Afforestation.

Afforestation is the process of planting of trees and it has various benefits like prevents soil erosion, climate stabilization, better air quality, improve watershed, preservation of wildlife, reversing global warming etc. It also increases the rainfall and improves soil quality.

14 Views

Question : $-7 p-[3 q-\{8 p-(4 q-10 p)\}]=?$

Option 1: $7p-11q$

Option 2: $11p-7q$

Option 3: $9p-12q$

Option 4: $12p-9q$

Team Careers360 25th Jan, 2024

Correct Answer: $11p-7q$


Solution : $-7 p-[3 q-\{8 p-(4 q-10 p)\}]$
$= -7p -[3q-(8p-4q+10p)]$
$= -7p -[3q-(18p-4q)]$
$= -7p - [3q-18p+4q]$
$= -7p -7q+18p$
$= 11p-7q$
Hence, the correct answer is $11p-7q$.

147 Views

Question : Which Governor General had entertained Ranjit Singh with great honour at Ropar?

Option 1: Minto I.

Option 2: William Bentinck .

Option 3: Hastings

Option 4: Auckland .

Team Careers360 25th Jan, 2024

Correct Answer: William Bentinck .


Solution : The correct option is - William Bentinck.

The Governor General who entertained Maharaja Ranjit Singh with great honor at Ropar was Lord William Bentinck. This event took place in the early 1830s during Lord William Bentinck's tenure as the Governor General of India.

16 Views

Question : The word India came from the Indus, called ______ in Sanskrit.

Option 1: Bhanu

Option 2: Adya

Option 3: Sarvatra

Option 4: Sindhu

Team Careers360 25th Jan, 2024

Correct Answer: Sindhu


Solution : The correct option is Sindhu.

The Indus River was called "Sindhu" in Sanskrit, leading to the origin of the word "India." The term "Sindhu" evolved into "Hindu" in Persian, and the Greeks referred to the land beyond the Indus as "Indoi," thus the word

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