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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at line MN as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 27th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the

33 Views

Question : The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at speeds of 35 km/h and 25 km/h, respectively. If the cars run in the same direction, then they will meet after how many hours?

Option 1: 6.5

Option 2: 6.2

Option 3: 6

Option 4: 6.52

Team Careers360 26th Jan, 2024

Correct Answer: 6


Solution : The car runs in the same direction. So, the relative speed is (35 – 25) = 10 km/h.
Use the formula, $\text{Time}=\frac{\text{Distance}}{\text{speed}}$ to find the required time that two cars take to meet.
${\text{Time}}=\frac{60}{10}=6$ hours
Hence, the correct answer is 6 hours.

36 Views

Question : Comprehension:

Read the passage and answer the questions that follow.

The Roman Empire covered a vast stretch of territory that included most of Europe as we know it today and a large part of the Fertile Crescent and North Africa.
The Roman Empire embraced a wealth of local cultures and languages; women had a stronger legal position then than they do in many countries today; but also that much of the economy was run on slave labor, denying freedom to substantial numbers of persons. From the fifth century onwards, the empire fell apart in the west but remained intact and exceptionally prosperous in its eastern half.
Roman historians have a rich collection of sources to go on, which we can broadly divide into three groups: (a) texts, (b) documents and (c) material remains. Textual sources include letters, speeches, sermons, laws, and histories of the period written by contemporaries. These were usually called ‘Annals’ because the narrative was constructed on a year-by-year basis. Documentary sources include mainly inscriptions and papyri. Inscriptions were usually cut on stone, so a large number survived, in both Greek and Latin. The ‘papyrus’ was a reed-like plant that grew along the banks of the Nile in Egypt and was processed to produce sheets of writing material that was very widely used in everyday life. Thousands of contracts, accounts, letters, and official documents survive ‘on papyrus’ and have been published by scholars who are called ‘papyrologists’. Material remains include a very wide assortment of items that mainly archaeologists discover (for example, through excavation and field survey), for example, buildings, monuments and other kinds of structures, pottery, coins, mosaics, and even entire landscapes. Each of these sources can only tell us just so much about the past, and combining them can be a fruitful exercise, but how well this is done depends on the historian’s skill!

Question:

Documentary sources of the history of the Roman Empire include:

Option 1: inscriptions

Option 2: pottery

Option 3: sermons

Option 4: landscapes

Team Careers360 27th Jan, 2024

Correct Answer: inscriptions


Solution : The first option is correct.

  • Let's have a look at the 7th sentence from the given paragraph:
    • "Documentary sources include mainly inscriptions and papyri."
  • Upon perusal of the above statement, it can be concluded that inscriptions are included in the documentary sources of the history
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Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

According to scientists (1) /, there are a lot of (2) / answers about it. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 27th Jan, 2024

Correct Answer: (3)


Solution : The error lies in the third part of the sentence.

The preposition "to" is needed after "answers" to correctly convey the idea that there are many answers related to the topic. The preposition "about" doesn't convey the intended meaning of the sentence. In this context,

14 Views

Question : If $a+b+c=0$, the value of $\frac{a^2+b^2+c^2}{a^2-bc}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 3

Team Careers360 27th Jan, 2024

Correct Answer: 2


Solution : Given:
$a+b+c=0$
$\therefore b+c=-a$
Now, $a+b+c=0$
By squaring both sides, we get,
$(a+b+c)^2=0$
⇒ $a^2+b^2+c^2+2(ab+bc+ca)=0$
⇒ $a^2+b^2+c^2+2[a(b+c)+bc]=0$
⇒ $a^2+b^2+c^2+2[a(-a)+bc]=0$
⇒ $a^2+b^2+c^2-2[a^2-bc]=0$
⇒ $a^2+b^2+c^2=2[a^2-bc]$
$\therefore\frac{a^2+b^2+c^2}{a^2-bc}=2$
Hence, the correct answer is $2$.

15 Views

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

This palace (has been belonging) to our family since generations.

(1) has belonging

(2) has belonged 

(3) belonged 

(4) No Improvement 

 

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 27th Jan, 2024

Correct Answer: 2


Solution : The correct improvement for the sentence is: has belonged.

Explanation: The original phrase "has been belonging" is not grammatically correct in this context. When expressing ownership or possession that has continued over a period of time, we typically use the present perfect tense. "Has belonged"

22 Views

Question : If $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}, \theta$ lies in first quadrant, then the value of $\frac{\operatorname{cosec} \theta+\cot ^2 \theta}{\operatorname{cosec} \theta-\cot ^2 \theta}$ is:

Option 1: $\frac{19}{5}$

Option 2: $\frac{22}{3}$

Option 3: $\frac{37}{12}$

Option 4: $\frac{37}{19}$

Team Careers360 27th Jan, 2024

Correct Answer: $\frac{19}{5}$


Solution : $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}$
Using the identity $\sec \theta = \frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$,
$\frac{\frac{1}{cos\theta}-\frac{\sin \theta}{\cos \theta}}{\frac{1}{cos\theta}+\frac{\sin\theta}{\cos\theta}}=\frac{1}{7}$
$⇒\frac{1-\sin \theta}{1+\sin \theta}=\frac{1}{7}$
On applying componendo and dividendo, 
$⇒\sin \theta = \frac{3}{4}$
Using the identity $\sin^2 \theta + \cos^2 \theta = 1$,

36 Views

Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
OILS : UNLS :: PAIN : PKDT :: QUIK : ?

Option 1: MLXU

Option 2: MKXV

Option 3: MLYV

Option 4: MKXU

Team Careers360 26th Jan, 2024

Correct Answer: MKXU


Solution : Given:
OILS : UNLS :: PAIN : PKDT :: QUIK : ?

Add the consecutive natural numbers, in decreasing order (starting from 4) to the place value of the first three letters and 2 to the place value of the fourth letter of OILS and

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