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Staff Selection Commission Combined Graduate Level Exam

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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

Team Careers360 16th Jan, 2024

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.

11 Views

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

Team Careers360 19th Jan, 2024

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

24 Views

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

Team Careers360 19th Jan, 2024

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

21 Views

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

Team Careers360 11th Jan, 2024

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

17 Views

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

Team Careers360 22nd Jan, 2024

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.

13 Views

Question : Which of the following numbers is divisible by 8?

Option 1: 18718

Option 2: 18716

Option 3: 18712

Option 4: 18714

Team Careers360 13th Jan, 2024

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.

14 Views

Question : Select the most appropriate ANTONYM of the given word.

Encourage

Option 1: Boost

Option 2: Inspire

Option 3: Energise

Option 4: Dishearten

Team Careers360 20th Jan, 2024

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

27 Views

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: $\frac{\sqrt{13}}{2}$

Team Careers360 15th Jan, 2024

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 $\frac{\sqrt{17}}{2}$.

59 Views

Question : Directions: Which figure should replace the question mark (?) if the series were to be continued?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

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

26 Views

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

Team Careers360 16th Jan, 2024

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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