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Staff Selection Commission Combined Graduate Level Exam

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Question : If $4r=h+\sqrt{r^2+h^2}$, then $r:h$ is?$(r\neq0)$

Option 1: 17 : 8

Option 2: 8 : 17

Option 3: 8 : 15

Option 4: 15 : 8

Team Careers360 20th Jan, 2024

Correct Answer: 8 : 15


Solution : Given:
$4r=h+\sqrt{r^2+h^2}$
⇒ $4r-h=\sqrt{r^2+h^2}$
Squaring both sides we get,
⇒ $16r^2+h^2-8rh=r^2+h^2$
⇒ $15r^2=8rh$
⇒ $15r=8h$
⇒ $\frac{r}{h}=\frac{8}{15}$
Therefore, $r:h=8:15$
Hence, the correct answer is 8 :15.

47 Views

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

The (1)____ of birds is one of the most fascinating aspects of the natural world. From the soaring flight of eagles to the colourful plumage of parrots, birds have evolved a wide range of (2)_____ to survive and thrive in their environments. One of the most remarkable adaptations is the ability of some birds to migrate over vast distances, often crossing oceans and continents to reach their breeding or wintering grounds. However, many species of birds are facing threats to their survival, such as habitat loss, climate change and (3)______ by humans. In response, conservation efforts have been put in place to protect these birds and their habitats. This might involve creating protected areas, restoring degraded habitats or reducing the use of pesticides and other harmful chemicals. Another important aspect of bird conservation is (4)_______ populations to track changes over time and identify emerging threats. This can be done through citizen science programmes or through more intensive efforts led by conservation organisations. Ultimately, protecting birds and their habitats is not only important for the birds themselves but also for the broader ecosystems they are a part of, and the many benefits these ecosystems provide to humans, such as clean air and water, and (5)______ opportunities.

Select the most appropriate option to fill in blank no. 3.

Option 1: safeguarding

Option 2: preservation

Option 3: exploitation

Option 4: migration

Team Careers360 17th Jan, 2024

Correct Answer: exploitation


Solution : The most appropriate choice is the third option.

Exploitation refers to the harmful or unsustainable use of resources, which can include the hunting, capturing, or trading of birds and their habitats. In the context of bird conservation, it is important to address this issue as

9 Views

Question : Directions: In the following question, select the related number from the given alternatives.
ACOUSTIC : 91 :: RENOUNCE : ?

Option 1: 95

Option 2: 99

Option 3: 105

Option 4: 109

Team Careers360 19th Jan, 2024

Correct Answer: 95


Solution : Given:
ACOUSTIC : 91 :: RENOUNCE : ?

The place values of the letters in "ACOUSTIC" are –
A = 1, C = 3, O = 15, U = 21, S = 19, T = 20, I = 9, C = 3
Sum of these

14 Views

Question : If $x=\sqrt[3]{2+\sqrt{3}}$, the value of $x^3+\frac{1}{x^3}$ is:

Option 1: 8

Option 2: 9

Option 3: 2

Option 4: 4

Team Careers360 20th Jan, 2024

Correct Answer: 4


Solution : Given:
$x=\sqrt[3]{2+\sqrt{3}}$
⇒ $x^3=2+\sqrt{3}$
So, $\frac{1}{x^3}=\frac{1}{2+\sqrt{3}}×\frac{2-\sqrt{3}}{2-\sqrt{3}}=2-\sqrt{3}$
$\therefore x^3+\frac{1}{x^3}=2+\sqrt{3}+2-\sqrt{3}=4$
Hence, the correct answer is 4.

14 Views

Question : If the value of a company's stock drops from Rs. 25 per share to Rs. 21 per share, the percentage decrease per share is:

Option 1: 4

Option 2: 8

Option 3: 12

Option 4: 16

Team Careers360 21st Jan, 2024

Correct Answer: 16


Solution : The initial value of the stock is Rs. $25$ per share.
The final value of the stock is Rs. $21$ per share.
Decrease in percentage = $\frac{\text{Initial value –Final value}}{\text{Initial value}}\times100$
= $\frac{25 –21}{ 25}×100$
= $\frac{400}{ 25}$
= 16%
Hence, the correct answer is

8 Views

Question : Direction: If 84 + 96 = 4842, then 36+78 = ?

Option 1: 3918

Option 2: 3678

Option 3: 3819

Option 4: 1839

Team Careers360 13th Jan, 2024

Correct Answer: 3918


Solution : Here, in the given equation, both the numbers are halved and are written interchangeably.

84 + 96 = 4842

Similarily, we have – 

36+78 = 3918

Hence, option first is correct.

 

26 Views

Question : Directions: The bar graph shows the number of males and females (in crores) in India from 1951-1991. Read the graph and answer the following question:
What was the approximate number of males in India in 1971 per thousand females?

Option 1: 913

Option 2: 1075

Option 3: 1077

Option 4: 1175

Team Careers360 19th Jan, 2024

Correct Answer: 1077


Solution : As per the given graph:
The number of males in India in the year 1971 = 28 crore
The number of females in India in the year 1971 = 26 crore
The number of men per thousand women in 1971 = $\frac{\text{ The number of

10 Views

Question : A tropical deciduous plant special to the Deccan Plateau is

Option 1: teak

Option 2: shisham

Option 3: sandalwood

Option 4: sal

Team Careers360 14th Jan, 2024

Correct Answer: sandalwood


Solution : The correct answer is sandalwood.

Tropical deciduous woods blanket the Deccan Plateau, and common plants found there include sal, teak, shisham, and other plants. The unique tropical deciduous shrub known as sandalwood is native to the Deccan Plateau, particularly the districts of Mysore in Karnataka

7 Views

Question : Directions: From the given option figures, select the one in which the question figure is embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 13th Jan, 2024

Correct Answer:


Solution : As there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the second option figure.

Hence, the second option is

14 Views

Question : Select the most appropriate option to fill in the blank and complete the collocation.

Although she didn't reveal her plans clearly, I had a__________ idea.

Option 1: clear

Option 2: concise

Option 3: complete

Option 4: rough

Team Careers360 14th Jan, 2024

Correct Answer: rough


Solution : The correct choice is the fourth option.

Explanation: The most fitting option to fill in the blank and complete the collocation is "rough." Here, "rough" functions as an adjective modifying "idea", conveying that the idea is not detailed or refined.

The meanings of the

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