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Staff Selection Commission Combined Graduate Level Exam

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Question : Select the correct direct form of the given sentence.
She said that she could not believe him.

Option 1: She said, “You cannot believe him.”

Option 2: She said, “I may not believe him.”

Option 3: She said, “I cannot believe him.”

Option 4: She says, “I could not believed him.”

Team Careers360 21st Jan, 2024

Correct Answer: She said, “I cannot believe him.”


Solution : The correct option is the third option.

Explanation:
In the direct form, the reported speech is directly quoted, and the pronouns may change based on the context.

In this case, she (third-person) changes to "I" (first-person), and him remains unchanged.

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Question : ' O ' is a point in the interior of an equilateral triangle. The perpendicular distance from ' O ' to the sides are $\sqrt{3}~cm, 2 \sqrt{3}~cm, 5 \sqrt{3}~cm$. The perimeter of the triangle is:

Option 1: 48 cm

Option 2: 32 cm

Option 3: 24 cm

Option 4: 64 cm

Team Careers360 11th Jan, 2024

Correct Answer: 48 cm


Solution :
Perpendicular distance = 
$p{_1} = \sqrt{3}$
$p{_2} =2\sqrt{3}$
$p{_3} = 5\sqrt{3}$
Height of an equilateral triangle = $\frac{\sqrt{3} \times (a)}{2}$
Height of an equilateral triangle = sum of perpendicular distance with point
The perimeter of an equilateral triangle = $3\times a$
Height of equilateral

18 Views

Question : If $a + b = 11$ and $ab=35$, then what is the value of $\left(a^4+b^4\right)$?

Option 1: 151

Option 2: 261

Option 3: 124

Option 4: 102

Team Careers360 15th Jan, 2024

Correct Answer: 151


Solution : Given,
$a + b = 11$ and $ab=35$
Consider, $a+b=11$
Squaring both sides, we get,
⇒ $(a+b)^2=11^2$
⇒ $a^2+b^2+2ab=121$
⇒ $a^2+b^2+2(35)=121$
⇒ $a^2+b^2+70=121$
⇒ $a^2+b^2=51$
Squaring both sides,
⇒ $(a^2+b^2)^2=51^2$
⇒ $a^4+b^4+2a^2b^2=2601$
⇒ $a^4+b^4+2(35)^2=2601$
⇒ $a^4+b^4+2\times1225=2601$
​​​⇒ $a^4+b^4+2450=2601$
⇒ $a^4+b^4=2601-2450$
$\therefore a^4+b^4=151$
Hence, the correct

13 Views

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.

A robot is a mechanical or virtual artificial agent, usually an electromechanical machine that is (1)______ by a computer programme or electronic circuitry. In general, robots can be autonomous or semi-autonomous and are now used in different fields. They have replaced (2)_______ in performing repetitive and dangerous tasks which humans prefer not to do, or are unable to do because of size limitations, or which take place in extreme (3)________ such as outer space or the bottom of the sea. For instance, robots can now be used in industry, as in car manufacturing, or they can be used in homes to do the (4)_______. Some robots may respond to speech or even be medical operating tools. There are concerns about the increasing use of robots and their role in society. Robots are blamed for the rising (5)________ as they replace workers in increasing numbers of functions.
 

Question:

Select the most appropriate option to fill in the blank number 4.

Option 1: network

Option 2: housework

Option 3: software

Option 4: handwork

Team Careers360 20th Jan, 2024

Correct Answer: housework


Solution : The correct choice is the second option.

The sentence discusses the usage of robots in different settings. In this context, it contrasts industrial use (like in car manufacturing) with domestic use.

Housework refers to tasks performed in a household, such as cleaning, cooking, or

11 Views

Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 1.

Option 1: 6

Option 2: 3

Option 3: 2

Option 4: 4

Team Careers360 18th Jan, 2024

Correct Answer: 6


Solution : Taking dice in Figures 1 and 3 with 6 as the common face,


Moving clockwise from the common face with 6, 


Pairs of opposite faces –

So, the opposite face to the face containing 1 is 6. Hence, the first option is correct.

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