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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: In the following question, identify the diagram that represents the best relationship among the classes given below. Lion, Fox, and Carnivorous

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Both lions and foxes are carnivorous. Therefore, both the circles will be inside the circle of carnivorous. But there is no direct relationship between lion and fox. So, both the circles will not overlap with each other.

Based on the above conclusions, the following Venn diagram

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Question : Which state in India has the highest literacy rate as per the Census of 2011?

Option 1: Bihar

Option 2: Maharashtra

Option 3: Kerala

Option 4: Tamil Nadu

Team Careers360 25th Jan, 2024

Correct Answer: Kerala


Solution : The correct option is Kerala.

According to the 2011 Census data, Kerala had a literacy rate of 94.00%, the highest among all states in India at that time. The state's focus on education and social indicators has contributed to its reputation for high literacy and

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Question : Two equal circles of radius 6 cm intersect each other such that each passes through the centre of the other. The length (in cm) of the common chord is:

Option 1: $5 \sqrt{3}$

Option 2: $6 \sqrt{3}$

Option 3: $4 \sqrt{3}$

Option 4: $3 \sqrt{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $6 \sqrt{3}$


Solution :
Let the common chord AB bisect the distance between the centre XY at O.
⇒ XO = $\frac{\text{XY}}{2}$ = $\frac{6}{2}$ = 3 cm
⇒ AX = radius = 6 (The circles pass through each other’s centre)
Now, in $\triangle XAO$ right angled at O

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Question : The distance of a chord JK from the centre is 7 cm. If the diameter of this circle is 50 cm, then what will be the length of this chord?

Option 1: 74 cm

Option 2: 96 cm

Option 3: 48 cm

Option 4: 24 cm

Team Careers360 24th Jan, 2024

Correct Answer: 48 cm


Solution :
The radius of the circle is half the diameter.
The radius = $\frac{50}{2}$ = 25 cm
Let the length of the chord JK = $2x$ cm
The distance from the centre of the circle to the chord = 7 cm
The perpendicular from the

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Question :

Directions: In the following question, select the related word from the given alternatives.
Dominance : Hegemony :: Independence : ?

Option 1: Sympathy

Option 2: Melancholy

Option 3: Autonomy

Option 4: Recompense

Team Careers360 24th Jan, 2024

Correct Answer: Autonomy


Solution : Given:
Dominance : Hegemony :: Independence : ?

Like, Hegemony is the synonym of dominance and the meaning of dominance is control or authority.
Similarly, the meaning of independence is the state of being free and the synonym of independence is autonomy.

Hence, the third

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Question : One litre of milk costs INR 40. Water is mixed with milk and the mixture cost becomes INR 30 per litre. Find the ratio of water and milk in the mixture.

Option 1: 2 : 5

Option 2: 1 : 3

Option 3: 1 : 2

Option 4: 2 : 3

Team Careers360 25th Jan, 2024

Correct Answer: 1 : 3


Solution : Given: That one litre of milk costs INR 40.
Water is mixed with milk and the mixture cost becomes INR 30 per litre.

The ratio of water and milk in the mixture = 10 : 30 = 1 : 3
Hence, the correct

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Question : The ratio of the angles of a triangle is 1 : 2 : 6. What is the smallest angle?

Option 1: $40^\circ$

Option 2: $45^\circ$

Option 3: $30^\circ$

Option 4: $20^\circ$

Team Careers360 25th Jan, 2024

Correct Answer: $20^\circ$


Solution : Ratio of the angles of triangle = 1 : 2 : 6
Let the angles be $x, 2x$ and $6x$ and $x$ be the smallest angle.
$x+2x+6x=180^\circ$
⇒ $9x=180^\circ$
⇒ $x = 20^\circ$
Hence, the correct answer is $20^\circ$.

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Question : The line chart given below shows the production of refrigerators by 6 companies.



What is the difference between the production of refrigerators by companies E, F, and G together and the production of refrigerators by companies H, I, and J together?

Option 1: 80

Option 2: 160

Option 3: 120

Option 4: 190

Team Careers360 25th Jan, 2024

Correct Answer: 120


Solution : Production of Refrigerator by company E = 500
Production of Refrigerator by company F = 470
Production of Refrigerator by company G = 460
Production of Refrigerator by company H = 440
Production of Refrigerator by the company I = 420
Production of Refrigerator by

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