Staff Selection Commission Combined Higher Secondary Level Exam
Question : If two tangents inclined at an angle of 120° are drawn to a circle of radius 6 cm, then what is the length (in cm) of each tangent?
Option 1: $3 \sqrt{3}$
Option 2: $2 \sqrt{3}$
Option 3: $4 \sqrt{3}$
Option 4: $\sqrt{3}$
Correct Answer: $2 \sqrt{3}$
Solution : Let O be the centre of the given circle. Let AB and AC be the two tangents to the given circle drawn from point A. $\therefore$ $\angle BAC = 120°$ Now OB and OC represent the radii of the circle $\therefore OB \perp AB$
Question : Select the most appropriate option that can replace the underlined word in the following sentence. Abraham narrated Reshma his last escapade in a dramatic way.
Option 1: exertion
Option 2: ordeal
Option 3: adventure
Option 4: escape
Correct Answer: adventure
Solution : The correct choice is the third option.
Escapade refers to a brief, adventurous, or daring incident or activity, often involving unconventional or exciting experiences.
Adventure signifies an exciting, unusual, or thrilling experience, often involving risks, exploration, or novel and daring activities.
The meanings of the
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given question figure – 1. The number of slant lines increased by one in each figure. 2. These slant lines form an X-type symbol.
Therefore, the following figure will complete the given pattern –
Hence, the fourth option is correct.
Question : Directions: Q is married to L. L is the sister of I. I is the daughter of R. R is the brother of P. P is married to N. N is the father of Q. How is P related to L?
Option 1: Mother's mother
Option 2: Mother's sister
Option 3: Father's mother
Option 4: Father's sister
Correct Answer: Father's sister
Solution : According to the given information, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. From the above family tree, it's clear that L and I are the daughters of R. So,
Question : Which of these is one of the seven priorities adopted in the Union budget for the fiscal year 2023-24?
Option 1: Gender equality
Option 2: Zero poverty
Option 3: Inclusive development
Option 4: Zero hunger
Correct Answer: Inclusive development
Solution : The correct option is Inclusive development.
The seven priorities of the Union budget are known as Saptarishi.
These are:
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear as the
Question : The marginal revenue of a monopolist is
Option 1: more than price .
Option 2: equal to price .
Option 3: less than price .
Option 4: less than marginal cost .
Correct Answer: less than price .
Solution : The correct option is less than price.
The marginal revenue in a monopolistic market is always less than the product's price. A monopolist is the only seller in the market, hence in order to sell more units, they must cut the price
Question : If $4x^2+y^2 = 40$ and $xy=6$, then the value of $2x-y$ is:
Option 1: 1
Option 2: 3
Option 3: 4
Option 4: 2
Correct Answer: 4
Solution : Consider, $2x-y$ Squaring this equation, we get, $(2x-y)^2=4x^2+y^2-4xy$ Given, $4x^2+y^2 = 40$ and $xy=6$ ⇒ $(2x-y)^2=40-4\times 6$ ⇒ $(2x-y)^2=40-24=16$ ⇒ $2x-y=\sqrt{16}$ ⇒ $2x-y=4$ Hence, the correct answer is 4.
Question : Study the given pie chart and answer the question that follows. Ravi decides to renovate his old house. His percentage expenditure for different renovating items is given by the pie chart. Ravi gets a discount of 10% and 8% on the cash payment for furniture and Electric items, respectively. What is the total amount (in Rs.) paid by him for furniture and Electric items?
Option 1: 56,000
Option 2: 58,200
Option 3: 30,200
Option 4: 28,000
Correct Answer: 58,200
Solution : Total = 2,00,000 Electric items = 15% of total $=\frac{15}{100}\times 200000=30000$ Ravi gets an 8% discount on electric items ⇒ Price after discount $=30000-\frac{8}{100}\times 30000$ $=30000-2400=27600$ Furniture = 17% of total cost $=\frac{17}{100}\times 200000=34000$ Ravi gets a 10% discount on furniture, ⇒ Amount after getting
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Hundreds of children are deaf born every year.
(1) deaf are born every
(2) every born are deaf
(3) are born deaf every
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct answer.
We are talking about children who are born of which, hundreds are born deaf. So, the word order in the original sentence needs to be corrected.
Therefore, the correct answer is: Hundreds of children are born deaf
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