Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In this question, the statement is followed by two conclusions. Which of the two conclusion(s) is/are true? Statement: A = B ≥ C ≤ D > G < E < F Conclusions: I. B > F II. C < A
Option 1: Only conclusion I is true
Option 2: Only conclusion II is true
Option 3: Neither conclusion I nor II is true
Option 4: Both conclusions I and II are true
Correct Answer: Neither conclusion I nor II is true
Solution : Given: Statement: A = B ≥ C ≤ D > G < E < F
Let's analyse the given conclusions – Conclusion (I): B > F→No relation can be established between B and F. Therefore, this conclusion is false.
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: ZVR
Option 2: ZYX
Option 3: QMI
Option 4: IEA
Correct Answer: ZYX
Solution : Let's check the options – First option: ZVR; Z – 4 = V; V – 4 = R Second option: ZYX; Z – 1 = Y; Y – 1 = X Third option: QMI; Q – 4 = M; M – 4 = I Fourth
Question : The 'East-West' corridor connects which of the following cities?
Option 1: Itanagar and Dwarka
Option 2: Guwahati and Gandhinagar
Option 3: Shillong and Kandla
Option 4: Silchar and Porbandar
Correct Answer: Silchar and Porbandar
Solution : The correct answer is Silchar and Porbandar.
The East-West Corridor is a part of India's National Highways Development Project (NHDP0 Which aims to connect Porbandar, Gujarat, and Silchar, Assam. The North-South-East-West Corridor is India's largest ongoing road project. This is the second stage
Question : Select the most appropriate meaning of the given idiom. Against one’s grain
Option 1: Against the law
Option 2: Against the society
Option 3: Against one’s nature
Option 4: Against one’s family
Correct Answer: Against one’s nature
Solution : The correct choice will be the third option.
The idiom against one’s grain implies doing something that goes against one's natural inclination, preferences, or usual way of doing things. It suggests an action or behaviour that is contrary to one's inherent nature or
Question : If $x+\frac{1}{x}=2$, then the value of $x^{2}+\frac{1}{x^{6}}$ is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $x+\frac{1}{x}=2$ Putting the value of $x$ = 1, the above equation is satisfied. Now, putting $x$ = 1 in the given equation, we get $x^{2}+\frac{1}{x^{6}}$ = $1^{2}+\frac{1}{1^{6}}$ = 2 Hence, the correct answer is 2.
Question : Which of the following numbers is divisible by 8?
Option 1: 18718
Option 2: 18716
Option 3: 18712
Option 4: 18714
Correct Answer: 18712
Solution : If the last three digits of a number are divisible by 8, then the number is divisible by 8. Option 1: 18718. 718 cannot be divided by 8. Option 2: 18716. 716 cannot be divided by 8. Option 3: 18712. 712 is divisible by 8.
Question : Select the most appropriate ANTONYM of the given word.
Encourage
Option 1: Boost
Option 2: Inspire
Option 3: Energise
Option 4: Dishearten
Correct Answer: Dishearten
Solution : The correct choice is the fourth option.
Encourage is a verb that means to give support, confidence, or hope. The opposite of encouraging someone is to dishearten them, which means to cause a loss of determination or confidence. Therefore, dishearten is the antonym in this
Question : If $2x^2+5 x+1=0$, then one of the values of $x-\frac{1}{2 x}$ is:
Option 1: $\frac{\sqrt{17}}{2}$
Option 2: $\frac{13}{2}$
Option 3: $\frac{5}{2}$
Option 4: $\frac{\sqrt{13}}{2}$
Correct Answer: $\frac{\sqrt{17}}{2}$
Solution : $2 x^2+5 x+1=0$ Dividing the number by $2x$, we get, $⇒x+\frac{5x}{2x}+\frac{1}{2x}$ = 0 $\therefore x+\frac{1}{2x} = -\frac{5}{2}$ Using the formula $(a-b)^2 = (a+b)^2-4ab$, we get $(x-\frac{1}{2x})^2 = (x+\frac{1}{2x})^2 - 4.x.\frac{1}{2x}$ $⇒(x-\frac{1}{2x})^2 = (-\frac{5}{2})^2-2$ $⇒(x-\frac{1}{2x})^2 = \frac{25}{4}-2$ $\therefore(x-\frac{1}{2x}) =\frac{\sqrt{17}}{2}$ Hence, the correct answer is $\frac{\sqrt{17}}{2}$.
Question : Directions: Which figure should replace the question mark (?) if the series were to be continued?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, follow the directions to find the next term –
From Box 1 to Box 2, Z is replaced by the triangle (a new element) and moves to the centre-left position. Similarly, from Box 3 to Box 4, T is replaced by E
Question : The point equidistant from the vertices of a triangle is called its:
Option 1: Incentre
Option 2: Circumcentre
Option 3: Orthocentre
Option 4: Centroid
Correct Answer: Circumcentre
Solution : The point which is equidistant from the vertices of a triangle is called its circumcentre because the equal distance from the centre is the radius.
Hence, the correct answer is 'Circumcentre'.
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