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Staff Selection Commission Combined Graduate Level Exam

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Question : The interior angle of a regular polygon exceeds its exterior angle by 108$^\circ$. The number of the sides of the polygon is:

Option 1: 12

Option 2: 16

Option 3: 14

Option 4: 10

Team Careers360 21st Jan, 2024

Correct Answer: 10


Solution : Given that the interior angle of a regular polygon exceeds its exterior angle by 180$^\circ$.
For a regular polygon, each exterior angle = $\frac{360^\circ}{n}$
And each interior angle = $\frac{180^\circ\times (n-2)}{n}$
So, $\frac{180^\circ\times (n-2)}{n}-\frac{360^\circ}{n}=108^\circ$
Or, $180^\circ\times n-108^\circ\times n=720^\circ$
Or, $n=10$
Hence, the correct answer is

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Question : The percentage of nitrogen present in ammonium sulphate is:

Option 1: 21%

Option 2: 25%

Option 3: 30.5%

Option 4: 18%

Team Careers360 20th Jan, 2024

Correct Answer: 21%


Solution : The correct option is 21%.

According to the chemical formula of ammonium sulphate (NH4)2SO4), each molecule of ammonium sulphate includes two ammonium ions (NH4+). One nitrogen atom (N) is present in each ammonium ion (NH4+).

24 Views

Question : Directions: In a certain code language, ICE is coded as 20, and HOT is coded as 46. How will POT be coded in that language?

Option 1: 54

Option 2: 58

Option 3: 56

Option 4: 55

Team Careers360 23rd Jan, 2024

Correct Answer: 54


Solution : Given:
ICE is coded as 20, and HOT is coded as 46.

Add 3 in the sum of the position values of each letter of ICE to obtain the required code –
I→9; C→3; E→5
Now, add all the position values and then add 3

14 Views

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 passengers were afraid but the captain ___ them that there was no danger.

Option 1: suggested

Option 2: pleaded

Option 3: advise

Option 4: assured

Team Careers360 18th Jan, 2024

Correct Answer: assured


Solution : The correct choice is the fourth option.

Explanation: "Assured" means to give confidence or certainty to someone, and it accurately conveys the idea that the captain is providing reassurance to the passengers about their safety.

The meanings of the other options are as follows:

Suggested:

45 Views

Question : Identify the segment in the sentence which contains a grammatical error.

Laws and rules are made to safeguarding our rights and protect us.

Option 1: safeguarding our rights

Option 2: Laws and rules

Option 3: are made to

Option 4: and protect us

Team Careers360 25th Jan, 2024

Correct Answer: safeguarding our rights


Solution : The correct choice is the first option.

Explanation: The error in the original sentence lies in the use of "safeguarding" after "to." When the verb "to" is used in this context, it should be followed by the base form of the verb,

14 Views

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.

You cannot pass as long as you study.

1. provided

2. unless

3. less

4. No improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : The second option is the correct answer.

Unless is a conjunction that means except if or if not. In the context of the sentence, it conveys the idea that you will not be able to pass unless you study.

Provided means "only if" which doesn't

5 Views

Question : The value of $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ is:

Option 1: $x^{-1}+x^{\frac{2}{3}}$

Option 2: $x+x^{-\frac{1}{3}}$

Option 3: $x^{\frac{1}{3}}+x^{–1}$

Option 4: $x+x^{–1}$

Team Careers360 18th Jan, 2024

Correct Answer: $x+x^{–1}$


Solution : Given: $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$
$=x^{\frac{1}{3}}×x^{\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}}×x^{-\frac{2}{3}}+x^{-\frac{1}{3}}×x^{\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}}×x^{-\frac{2}{3}}$
$=x^{\frac{1}{3}+\frac{2}{3}}-x^{\frac{1}{3}}+x^{\frac{1}{3}-\frac{2}{3}}+x^{-\frac{1}{3}+\frac{2}{3}}-x^{-\frac{1}{3}}+x^{-\frac{1}{3}-\frac{2}{3}}$
$=x^1-x^{\frac{1}{3}}+x^{-\frac{1}{3}}+x^{\frac{1}{3}}-x^{-\frac{1}{3}}+x^{-1}$
$=x+x^{-1}$
Hence, the correct answer is $x+x^{-1}$.

15 Views

Question : Direction: If MUSICAL is written as KWQKACJ, how can SPRINKLE be written?

 

Option 1: QRPKLMJG

Option 2: UKTKPMNG

Option 3: QRBKCNJG

Option 4: QNPGLIJC

Team Careers360 20th Jan, 2024

Correct Answer: QRPKLMJG


Solution : MUSICAL → KWQKACJ

  M – 2     U + 2    S – 2    I + 2     C  – 2      A  + 2      L  – 2   
     K     W    Q     K       A      C        J

Similarly,
SPRINKLE → 

   S – 2       P + 2      R  – 2       I  +
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