Staff Selection Commission Combined Higher Secondary Level Exam
Question : O is the centre of a circle with a diameter of 16 cm. Q is a point outside the circle and QS is tangent to the circle at point S. If OQ is =17 cm, what is the length (in cm) of the tangent QS?
Option 1: 15
Option 2: 12
Option 3: 18
Option 4: 10
Correct Answer: 15
Solution : Given, Radius = 8 cm $O$ is the centre of the circle with $QS$ as a tangent. Also, $OQ$ = 17 cm Using Pythagoras theorem, $OQ^2=QS^2+OS^2$ ⇒ $17^2=8^2+QS^2$ ⇒ $QS$ = 15 cm Hence, the correct answer is 15.
Question : Which was the main cause for starting of the Quit India Movement in 1942 ?
Option 1: Severe unrest among the people
Option 2: Report of Simon Commission
Option 3: Failure of the Cripps Mission
Option 4: British involved in the World War II
Correct Answer: Failure of the Cripps Mission
Solution : The correct option is Failure of the Cripps Mission.
The failure of the Cripps Mission was a crucial factor in sparking the Quit India Movement. The mission's proposals fell short of Indian nationalist expectations, particularly in terms of providing a concrete
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:
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
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
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
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: $3 \sqrt{3}$
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
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
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
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
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
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Today, I want to talk to you about a very simple matter, that is, simple conversations. When we learn to speak, (1) ___ come words, then phrases, and then scripts. You would agree that the larger the bundles of words we (2) ___, the less we have to worry about combining them into sensible (3) ____. Also, the less we have to fret over syntax or (4) ___. Do you think you choose the words? Do you pre-rehearse every time you go out? (5) ____ what happens when you walk into a fast-food restaurant. My dear, how do you react in those real-life situations?
Question:
Select the most appropriate option to fill in the blank no. 3.
Option 1: executions
Option 2: traits
Option 3: expressions
Option 4: criticism
Correct Answer: expressions
Solution : The correct choice is the third option.
Expressions denote the conveyance of thoughts, feelings, or ideas through words, actions, or artistic means. It can be a verbal or non-verbal indication of emotions, opinions, or creativity.
The meanings of the other options are as follows:
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
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
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: $20^\circ$
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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