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Staff Selection Commission Combined Graduate Level Exam

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Question : $ABC$ is a triangle. $AB = 5$ cm, $AC = \sqrt{41}$ cm and $BC = 8$ cm. $AD$ is perpendicular to $BC$. What is the area (in cm2) of $\triangle ABD$?

Option 1: 12

Option 2: 6

Option 3: 10

Option 4: 20

Team Careers360 22nd Jan, 2024

Correct Answer: 6


Solution :

Let the length of $BD=x$ cm, then $CD= (8-x)$ cm.
In $\triangle ADB$
$AB^2=AD^2+BD^2$
⇒ $5^2=AD^2+x^2$
⇒ $AD^2=5^2-x^2$ ... (i)
In $\triangle ADC$
$AC^2=AD^2+DC^2$
⇒ $(\sqrt{41})^2=AD^2+(8-x)^2$
⇒ $AD^2=41-(8-x)^2$ ... (ii)
From (i) and (ii)
$5^2-x^2=41-(8-x)^2$
⇒ $25=-23+16x$
⇒ $16x=48$
⇒ $x=3$
From equation (i),
$

14 Views

Question : What is the reflection of the point (5, 3) in the line $y = –2$?

Option 1: (– 9, 3)

Option 2: (– 5, – 7)

Option 3: (– 9, – 3)

Option 4: (5, – 7)

Team Careers360 21st Jan, 2024

Correct Answer: (5, – 7)


Solution : Given:
The point (5, 3) and the line $y$ = –2.
We know that the only coordinate that changes when a point is reflected on the x-axis is the $y$ coordinate.
The line $y$ = –2 is perpendicular to the x-axis and the

14 Views

Question : Select the most appropriate option that can substitute the underlined words in the given sentence.

Being a practised liar, it was totally normal for him to utter a complete and blatant lie.

Option 1: blasphemy

Option 2: whooper

Option 3: falsehood

Option 4: perjury

Team Careers360 22nd Jan, 2024

Correct Answer: falsehood


Solution : The correct choice is the third option.

Explanation: Falsehood means a false statement or lie. In the context of the sentence, it accurately conveys the idea of someone telling a lie.

The meanings of the other options are as follows:

  • Blasphemy: It refers to speaking

11 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

All people want to be happy, (do they?)

(1) don't they?

(2) are they?

(3) didn't they?

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 19th Jan, 2024

Correct Answer: (1)


Solution : The correct answer is the first option.

In the original sentence, the main clause is affirmative, all people want to be happy. Hence, the appropriate question tag should be negative, i.e., "don't they?to match the affirmative main clause.

Therefore, the correct sentence

17 Views

Question : Select the most appropriate synonym of the underlined word in the given sentence.

The wrestler retaliated the blow that he received.

Option 1: Respected

Option 2: Welcomed

Option 3: Reciprocated

Option 4: Forgave

Team Careers360 20th Jan, 2024

Correct Answer: Reciprocated


Solution : The correct option is the third option.

Explanation: "Retaliated" means to respond to an attack or injury with a similar action, seeking revenge or reprisal. Similarly, "reciprocated" means to respond to something by returning the same kind of action or gesture. In

7 Views

Question : Who among the following was the founder of the Aligarh Movement, which was largely responsible for the revival of Muslims in India?

Option 1: Mirza Ghulam Ahmad

Option 2: Muhammad Iqbal

Option 3: Abdul Ghaffar Khan

Option 4: Sayyid Ahmad Khan

Team Careers360 17th Jan, 2024

Correct Answer: Sayyid Ahmad Khan


Solution : The Correct option is Sayyid Ahmad Khan.

Sayyid Ahmad Khan was a prominent 19th-century Indian Muslim scholar, reformer, and educator. He played a crucial role in advocating for the modern education of Muslims in India during a time when educational opportunities were

237 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
The historians / are a great / asset to the/ field of academia.

Option 1: field of academia

Option 2: are a great

Option 3: asset to the

Option 4: The historians

Team Careers360 22nd Jan, 2024

Correct Answer: The historians


Solution : The correct choice is the fourth option.

The error is in the use of the definite article "the" before "historians". In this context, the sentence is referring to historians in a general sense, so the definite article "the"

9 Views

Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
7 and 4

Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12

Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37

Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12

Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57

Team Careers360 22nd Jan, 2024

Correct Answer: 8 ÷ 6 × 9 + 7 – 4 = 12


Solution : Given:
7 and 4

Replace the given numbers in the options one by one with the original numbers in the given equation.
First option: 8 ÷ 6 × 9 + 7 – 4 = 12

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