Staff Selection Commission Combined Higher Secondary Level Exam
Question : In a circle with a radius 20 cm, P is a point located at a distance of y cm from the centre of the circle. If the length of a tangent drawn from point P to the circle is 21 cm, find the value of y.
Option 1: 31 cm
Option 2: 28 cm
Option 3: 29 cm
Option 4: 25 cm
Correct Answer: 29 cm
Solution : Given that OP = y cm, QP = 21 cm, OQ = 20 cm. To find the length of OP, apply Pythagoras theorem in $\triangle$OPQ. ⇒ OQ2 + QP2 = OP2 ⇒ 202 + 212 = y2 ⇒
Question : If the sum of a number and its reciprocal is 4, find the sum of their squares.
Option 1: 12
Option 2: 16
Option 3: 14
Option 4: 18
Correct Answer: 14
Solution : Let the number be $x$. Reciprocal = $\frac{1}{x}$ According to the question, $x + \frac{1}{x} = 4$ Squaring both sides, we get: ⇒ $(x + \frac{1}{x})^2 = 4^2$ ⇒ $x^2+ \frac{1}{x^2}+2 = 16$ ⇒ $x^2 + \frac{1}{x^2} = 16 - 2 = 14$ Hence, the
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
P. an unparalleled popularity Q. the lotus Temple has always enjoyed R. as shown by its pre-dominance in literature and art S. throughout the length and breadth of India from the earliest times down to the present day,
Option 1: QPSR
Option 2: PSQR
Option 3: QRSP
Option 4: QPRS
Correct Answer: QPRS
Solution : The fourth option is the correct choice.
The sentence should start with the subject and its description, followed by the reasons or evidence, and then its widespread recognition.
Therefore, the sentence in the correct order is: The Lotus Temple has always enjoyed an unparalleled popularity,
Question : The value of $117 ÷ 45 \;\text {of} \frac{1}{5} + \frac{12}{5} × \frac{20}{3}$ is:
Option 1: 29
Option 2: 27
Option 3: 28
Option 4: 31
Correct Answer: 29
Solution : $117 ÷ 45 \;\text {of} \frac{1}{5} + \frac{12}{5} × \frac{20}{3}$ = 117 ÷ 9 + 4 × 4 = 13 + 16 = 29 Hence, the correct answer is 29.
Question : Which of the following statements is correct regarding the socialist society in the economy?
I. The government decides what goods are to be produced. II. Distribution of goods under socialism is supposed to be based on what people need.
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
In a socialist system, there can be different degrees of government involvement, ranging from limited regulation and social ownership to more extensive control over the means of production.
In a socialist economy, the emphasis
Question : Who first introduced the idea of a relationship between molecular geometry and the number of valence electrons in the 1940s?
Option 1: Bent and Nyholm
Option 2: Hendricus and Nicol
Option 3: Sidgwick and Powell
Option 4: Heitler and Gillespie
Correct Answer: Sidgwick and Powell
Solution : The correct option is Sidgwick and Powell.
In 1940, Herbert Powell and Nevil Sidgwick proposed the notion that molecule shape and the number of valence electrons were correlated. They claimed that the number of valence electron pairs surrounding the core atom determines the
Question : Directions: In the following question, one statement is given. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions/assumptions, if any, follows from the given statement. Statement: Students go to school in uniforms.
Option 1: Students look smart in uniforms
Option 2: Uniforms are compulsory
Option 3: Uniforms are easily available
Option 4: Uniforms create a sense of belongingness
Correct Answer: Uniforms create a sense of belongingness
Solution : Let's analyse the given options – First option: Students look smart in uniforms – In the above statement, there is no relation between smartness and uniforms. Thus, this conclusion doesn't follow. Second option: Uniforms are compulsory – In the above
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
When the prodigal son returned home, his father welcomed him (with open hands)
(1) with open hearts
(2) with open mind
(3) with open arms
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The first option is the correct answer.
This is because "with open hands" should be replaced with the idiom "with open arms" which means "in an enthusiastic manner", thereby indicating that when the prodigal son returned, the father gave him a warm and enthusiastic welcome.
Question : Directions: Select the option that is related to the third term on the same basis as the second term is related to the first term. Electric current : Ampere :: Thermodynamic Temperature : ?
Option 1: Mole
Option 2: Kelvin
Option 3: Pascal
Option 4: Candela
Correct Answer: Kelvin
Solution : Given: Electric current : Ampere :: Thermodynamic Temperature : ?
Like, the unit used to measure electric current is an ampere. Similarly, the unit used to measure thermodynamic temperature is kelvin.
Hence, the second option is correct.
Question : In 1929, under the presidency of _______, the Lahore Congress formalised the demand of Purna Swaraj.
Option 1: Sardar Vallabhbhai Patel
Option 2: Mahatma Gandhi
Option 3: Subhas Chandra Bose
Option 4: Jawaharlal Nehru
Correct Answer: Jawaharlal Nehru
Solution : The correct answer is Jawaharlal Nehru.
The Lahore Session of the Indian National Congress was held in 1929 and passed the historic Purna Swaraj, which means the total independence resolution under the presidency of Jawaharlal Nehru. The Indian National Congress selected January 26,
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
