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Staff Selection Commission Combined Graduate Level Exam

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Question : The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle?

Option 1: $8 \sqrt{3} \mathrm{~cm}$

Option 2: $2 \sqrt{3} \mathrm{~cm}$

Option 3: $6 \sqrt{3} \mathrm{~cm}$

Option 4: $4 \sqrt{3} \mathrm{~cm}$

Team Careers360 18th Jan, 2024

Correct Answer: $4 \sqrt{3} \mathrm{~cm}$


Solution : The length of each side of a triangle is 12 cm.
So, it is an equilateral triangle.
$\therefore$ Circumradius of a equilateral triangle $= \frac{\text{Side Length}}{\sqrt{3}} = \frac{12}{\sqrt{3}}= 4\sqrt{3} \mathrm{~cm}$
Hence, the correct answer is $4\sqrt{3} \mathrm{~cm}$.

9 Views

Question : Directions: In the following question, find the odd letter cluster from the given alternatives.

Option 1: ACEG

Option 2: IKMO

Option 3: FHJL

Option 4: TUWY

Team Careers360 20th Jan, 2024

Correct Answer: TUWY


Solution : Let's check the options –
First option: ACEG; A + 2 = C; C + 2 = E; E + 2 = G
Second option: IKMO; I + 2 = K; K + 2 = M; M + 2 = O
Third option: FHJL; F

79 Views

Question : A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together?

Option 1: 38%

Option 2: 52%

Option 3: 56%

Option 4: 45%

Team Careers360 24th Jan, 2024

Correct Answer: 45%


Solution : Given:
A can do 20% of a job in 7 days.
B can do 25% of the job in 7 days.
So, in 7 days, both A and B together will finish $45$% of the work.
Hence, the correct answer is 45%.

14 Views

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 52 – 61 

Option 2: 72 – 81 

Option 3: 54 – 63 

Option 4: 33 – 41 

Team Careers360 21st Jan, 2024

Correct Answer: 33 – 41 


Solution : Let's check the options —
First option: 52 – 61→61 – 52 = 9
Second option: 72 – 81→81 – 72 = 9
Third option: 54 – 63→63 – 54 = 9
Fourth option: 33 – 41→41 – 33 = 8

So, the

10 Views

Question : Directions: In the following question, the sentence given with a blank is to be filled with an appropriate word. Select the correct alternative out of the four.


The big stone monument was the only_____ the lost traveller remembered.

Option 1: specimen

Option 2: souvenir

Option 3: piece

Option 4: landmark

Team Careers360 13th Jan, 2024

Correct Answer: landmark


Solution : The fourth option is correct because 'landmark' means 'a renowned place' which makes the explanation of the sentence as 'the lost traveller remembered the big stone monument as a renowned place'. In the other three options, 'Souvenir' means a memento that is kept as a

29 Views

Question : Comprehension:

Read the following passage and answer the questions given after it.

New Delhi: India is set to surpass China as the world's most populous country in 2023, with each counting more than 1.4 billion residents this year, a United Nations report said on Monday, warning that high fertility would challenge economic growth.

The world's population, estimated to reach 8 billion by November 15 this year, could grow to 8.5 billion in 2030 and 10.4 billion in 2100 as the pace of mortality slows, said the report released on World Population Day.

India's population was 1.21 billion in 2011, according to the domestic census, which is conducted once a decade. The government had deferred the 2021 census due to the COVID-19 pandemic.

The world's population was growing at its slowest pace since 1950, having fallen below 1 per cent in 2020, UN estimates showed.

In 2021, the average fertility of the world's population stood at 2.3 births per woman over a lifetime, having fallen from about 5 births in 1950. Global fertility is projected to decline further to 2.1 births per woman by 2050.

Referring to an earlier World Health Organisation report estimating about 14.9 million deaths relating to the COVID-19 pandemic between January 2020 and December 2021, the UN report said global life expectancy at birth fell to 71 years in 2021 from 72.8 years in 2019, mostly due to the pandemic.

The United Nations said more than half of the projected increase in the global population up to 2050 will be concentrated in eight countries: the Democratic Republic of the Congo, Egypt, Ethiopia, India, Nigeria, Pakistan, the Philippines, and Tanzania. Countries in sub-Saharan Africa are expected to contribute more than half of the increase anticipated through 2050.

However, the population of 61 countries is projected to decrease by 1% or more between 2022 and 2050, driven by a fall in fertility.

Question:
Which statement is NOT correct according to the passage?

Option 1: Since 1950, world population was growing at its slowest speed.

Option 2: The countries of Asia will contribute more than half of the increase anticipated through 2050.

Option 3: The population of 61 countries will decrease by 1% or more between 2022 and 2050.

Option 4: World population is estimated to reach 10.4 billion in 2100.

Team Careers360 25th Jan, 2024

Correct Answer: The countries of Asia will contribute more than half of the increase anticipated through 2050.


Solution : The second option is the correct answer.

The first sentence of the eighth paragraph says that countries in sub-Saharan Africa are expected to contribute more than half of the increase anticipated

27 Views

Question : Select the correct active form of the given sentence.

Our machine is shipped to ten different countries.

Option 1: We shipped our machine to ten different countries.

Option 2: We are shipping our machine to ten different countries.

Option 3: Someone ship our machine on ten different countries.

Option 4: We ship our machine to ten different countries.

Team Careers360 24th Jan, 2024

Correct Answer: We ship our machine to ten different countries.


Solution : The fourth option is the correct choice.

When changing a passive sentence to an active sentence, the subject performs the action.

The structure of the active form sentence in the simple present tense is: Subject + verb +

230 Views

Question : The LCM of (x2 − 8x + 15) and (x2 − 5x + 6) is:

Option 1: (x − 2) (x − 3) (x − 5)

Option 2: (x − 6)2 (x + 1) (x − 3)

Option 3: (x − 6) (x + 1) (x − 3)

Option 4: (x + 6) (x + 1) (x − 3)

Team Careers360 18th Jan, 2024

Correct Answer: (x − 2) (x − 3) (x − 5)


Solution : x2 − 8x + 15 = (x – 3) (x – 5)
x2 − 5x + 6 = (x – 2) (x – 3)
So, LCM (x2 − 8x + 15, x2

90 Views

Question : In the figure, chords AB and CD of a circle intersect externally at P. If AB = 4 cm, CD = 11 cm and PD =15 cm, then the length of PB is:

Option 1: 10 cm

Option 2: 8 cm

Option 3: 14 cm

Option 4: 12 cm

Team Careers360 14th Jan, 2024

Correct Answer: 10 cm


Solution : AB and CD are two chords of a circle intersecting externally at P
AB = 4 cm, CD = 11 cm and PD = 15 cm 
If two chords AB and CD intersect at outer point P then,
PA × PB = PC ×

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