Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Pointing to Rajesh in the photograph, Sunita said, "The only son of his mother is my father". How is she (Sunita) related to Rajesh?
Option 1: Niece
Option 2: Aunt
Option 3: Mother
Option 4: Daughter
Correct Answer: Daughter
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, from the above family tree, Sunita is the daughter of Rajesh. Hence, the fourth option
Question : The value of $\left(\tan ^2 A+\cot ^2 A-2\right)-\sec ^2 A \operatorname{cosec}^2 A$ is:
Option 1: –4
Option 2: –1
Option 3: 1
Option 4: 4
Correct Answer: –4
Solution : $\left(\tan ^2 A+\cot ^2 A-2\right)-\sec ^2 A \operatorname{cosec}^2 A$ $=\left[(1+\tan ^2 A)+(1+\cot ^2 A)-4\right]-\sec ^2 A \operatorname{cosec}^2 A$ $=(\sec ^2 A+ \operatorname{cosec}^2 A-4)-\sec ^2 A \operatorname{cosec}^2 A$ $=(\frac{1}{\cos ^2 A}+\frac{1}{\sin ^2 A})-4-\sec ^2 A \operatorname{cosec}^2 A$ $=(\frac{\sin ^2 A+\cos ^2 A}{\sin ^2 A\cos ^2 A})-4-\sec
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (5, 32, 7) (4, 30, 14)
Option 1: (7, 60, 11)
Option 2: (6, 65, 13)
Option 3: (7, 50, 21)
Option 4: (8, 60, 9)
Correct Answer: (7, 60, 11)
Solution : Given: (5, 32, 7); (4, 30, 14)
In the given sets, add the third number to the square of the first number to obtain the second number – (5, 32, 7)→52 + 7 = 25 + 7 = 32 (4, 30, 14)→4
Question : If $\frac{a}{b}+\frac{b}{a}=1$, the value of $a^{3}+b^{3}$ is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 0
Solution : Given: $\frac{a}{b}+\frac{b}{a}=1$ ⇒ $\frac{a^2 +b^2}{ab}=1$ ⇒ ${(a^2 +b^2)}={ab}$.............................(equation 1) Now, $a^{3}+b^{3}={(a+b)(a^2+b^2–ab)}$ Putting the value of ${a^2+b^2}$ from equation 1, we get ${(a+b)(a^2+b^2–ab)}$ = ${(a+b)(ab–ab)}$ = ${(a+b)×0}$ = $0$ Thus, $a^{3}+b^{3}=0$ Hence, the correct answer is 0.
Question : Which is the oldest trade union organisation in India ?
Option 1: Indian National Trade Union Congress (INTUC)
Option 2: Centre of Indian Trade Unions .
Option 3: All India Trade Union Congress (AITUC).
Option 4: Bharatiya Mazdoor Sangh (BMS).
Correct Answer: All India Trade Union Congress (AITUC).
Solution : The correct option is - All India Trade Union Congress (AITUC).
The All India Trade Union Congress (AITUC), which was founded in Bombay on October 31, 1920, is the oldest trade union organisation in India. The company's initial president was
Question : ______ are known as narrow money.
Option 1: M1 and M2
Option 2: M2 and M4
Option 3: M3 and M2
Option 4: M1 and M4
Correct Answer: M1 and M2
Solution : The correct option is M1 and M2.
M1: It includes the most liquid forms of money, such as physical currency (coins and notes) in circulation and demand deposits (checking accounts) that can be quickly converted to cash.
M2: It includes M1 along
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The army has been _____ to be ready to control the floods.
Option 1: alerted
Option 2: warned
Option 3: awakened
Option 4: wanted
Correct Answer: alerted
Solution : The correct choice is the first option.
Explanation: Alerted is the most appropriate word in the context of the sentence, which means to be notified or informed about something, in this case, being informed and prepared to control floods.
The meanings of the other
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? 168 ÷ 4 + 216 ÷ ( 78 × 1 – 8) = 14
Option 1: 78 and 216
Option 2: 14 and 8
Option 3: 78 and 14
Option 4: 216 and 168
Correct Answer: 78 and 14
Solution : Given: 168 ÷ 4 + 216 ÷ ( 78 × 1 – 8) = 14
Interchanging the numbers as given in the options – First option: 78 and 216 168 ÷ 4 + 78 ÷ ( 216 × 1 – 8) = 14
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 basic elements of computers that (1)____ our world are explained in an interactive manner. The book has a (2)____ approach of colourful and creative picture-based activities. The puzzles, activities, and mazes (3)____ the students to develop critical thinking, logical and motor skills. After every lesson, (4)____ exercises are incorporated to (5)___ the conceptual understanding of the students.
Select the most appropriate option to fill in blank no. 4.
Option 1: brainstorming
Option 2: superficial
Option 3: baffling
Option 4: irrational
Correct Answer: brainstorming
Solution : The first option is the correct choice.
Brainstorming means a session where a group of people generates creative solutions to address a specific problem, and it fit perfectly in the sentence. The sentence conveys the meaning that following each instructional session, an activity involving a
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (4, 9, 16) (25, 36, 49)
Option 1: (49, 64, 81)
Option 2: (1, 16, 49)
Option 3: (36, 81, 49)
Option 4: (49, 36, 81)
Correct Answer: (49, 64, 81)
Solution : Given: (4, 9, 16); (25, 36, 49)
The given numbers are squares of consecutive natural numbers – ⇒ (4, 9, 16)→22 = 4; (2 + 1)2 = 32 = 9; (3 + 1)2 = 42 = 16 ⇒
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
