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Staff Selection Commission Combined Graduate Level Exam

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Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error. If you don’t find any error, mark ‘No Error’ as your answer.

Amla juice / is rich with / Vitamin C. / No Error

Option 1: Vitamin C.

Option 2: Amla juice

Option 3: No Error

Option 4: is rich with

Team Careers360 26th Jan, 2024

Correct Answer: is rich with


Solution : The correct choice is the fourth option.

In this sentence, the error lies in the preposition used after the word "rich".

Rich is typically followed by the preposition "in" when describing the abundance or high concentration of something within a

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Question : The average of three consecutive even numbers is A. If the next five even numbers are added, what is the average of these eight numbers?

Option 1: A + 3

Option 2: A + 4

Option 3: A + 5

Option 4: A + 7

Team Careers360 26th Jan, 2024

Correct Answer: A + 5


Solution : Let $(x - 2)$, $x$, and $(x + 2)$ be the three consecutive even numbers.
Average = A = middle term = $x$
Let the next five consecutive even numbers added be $(x + 4), (x + 6), (x + 8), (x +

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Question : The number of mobile sim cards in 4 states/UT is given in the bar diagram. Study the diagram and answer the question.

In Delhi, the ratio of BSNL sim cards and Airtel sim cards sold is:

Option 1: 1 : 2

Option 2: 2 : 1

Option 3: 3 : 2

Option 4: 2 : 3

Team Careers360 27th Jan, 2024

Correct Answer: 1 : 2


Solution : From the graph, for Delhi, it can be seen that BSNL sim cards sold are 10 and Airtel sim cards are 20
So, the required ratio = $\frac{10}{20}=\frac{1}{2}=1:2$
Hence, the correct answer is 1 : 2.

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Question : Which method will be employed to test the hardness of water?

Option 1: Boiling

Option 2: Distillation

Option 3: Formation of lather with soap

Option 4: None of these

Team Careers360 26th Jan, 2024

Correct Answer: Formation of lather with soap


Solution : The correct option is the Formation of lather with soap.

To determine the hardness of water, the lather or soap test is widely employed. Hard water combines with soap to generate soap scum or curd, an intractable material. When you

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Question : Directions: Which number will replace the question mark (?) in the following series?
12, 25, 51, 103, ?, 415, 831

Option 1: 208

Option 2: 207

Option 3: 206

Option 4: 200

Team Careers360 26th Jan, 2024

Correct Answer: 207


Solution : Given:
12, 25, 51, 103, ?, 415, 831

Multiply the previous term by 2 and add 1 to the resultant term to get the next term.
(12 × 2) + 1 = 25; (25 × 2) + 1 = 51; (51 × 2) + 1

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Question : Select the INCORRECTLY spelt word.

Option 1: Believe

Option 2: Audible

Option 3: Throat

Option 4: Pronounciation

Team Careers360 26th Jan, 2024

Correct Answer: Pronounciation


Solution : The incorrectly spelt word is the fourth option.

Explanation: The correct spelling is pronunciation. It refers to the way in which a word is spoken with emphasis on the correct sounds and articulation. The use of ou instead of u constitutes a spelling error.

The

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Question : Select the option that can be used as a one-word substitute for the given group of words.

Words that begin with the same letter, syllable, or sound.

Option 1: Metaphor

Option 2: Pun

Option 3: Hyperbole

Option 4: Alliteration

Team Careers360 26th Jan, 2024

Correct Answer: Alliteration


Solution : The fourth option is the correct answer.

Alliteration is the appropriate term. It specifically refers to the repetition of initial consonant sounds, adding a rhythmic and melodic quality to language.

The meanings of the other options are as follows:

  • A metaphor is a figure of
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Question : In $\triangle ABC$, right angled at B, if $\tan A=\frac{1}{2}$, then the value of $\frac{\sin A(\cos C+\cos A)}{\cos C(\sin C-\sin A)}$ is:

Option 1: $2$

Option 2: $1$

Option 3: $3$

Option 4: $2\sqrt5$

Team Careers360 26th Jan, 2024

Correct Answer: $3$


Solution :
$\tan A=\frac{1}{2}$
$⇒\frac{BC}{AB}=\frac{1}{2}$
Let $BC=x$ units, then $AB=2x$ units
Using Pythagoras theorem,
$⇒AC^2=AB^2+BC^2$
$⇒AC^2=x^2+(2x)^2$
$⇒AC^2=5x^2$
$⇒AC =x\sqrt5 $ units
Now, we have $\triangle ABC$ right-angled at B, with $\tan A=\frac{1}{2}$, and we've found that $BC=x$, $AB=2x$, and $AC=x\sqrt{5}$.
$⇒\sin A = \frac{BC}{AC} = \frac{x}{x\sqrt{5}} =

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