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Staff Selection Commission Combined Graduate Level Exam

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Question : When $x$ is subtracted from each of 19, 28, 55 and 91, the numbers so obtained in this order, are in proportion. What is the mean proportional between ($x$ + 9) and $x$2?

Option 1: 27

Option 2: 32

Option 3: 28

Option 4: 24

Team Careers360 8th Jan, 2024

Correct Answer: 28


Solution : When $x$ is subtracted from each of 19, 28, 55, and 91, the obtained numbers are in proportion.
Using the concept of Componendo and Dividendo Rule
If $\frac ab=\frac cd$, then $\frac{a+b}{a-b}=\frac{c+d}{c-d}$
Given numbers are 19, 28, 55, 91
According to the question,
$(19 -

11 Views

Question : Precipitation in the form of a mixture of rain and snow is called

Option 1: Drizzle

Option 2: Hail

Option 3: Sleet

Option 4: Snow

Team Careers360 15th Jan, 2024

Correct Answer: Sleet


Solution : The answer is Sleet.

The term sleet refers to precipitation, which is a combination of rain and snow. Sleet forms when snowflakes partially melt as they fall through a layer of warmer air, then refreeze as microscopic ice pellets before falling to the earth.

30 Views

Question : In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm, then what is BD : DC?

Option 1: 10 : 7

Option 2: 5 : 7

Option 3: 7 : 5

Option 4: 7 : 10

Team Careers360 23rd Jan, 2024

Correct Answer: 5 : 7


Solution :
In a triangle, the ratio of the sides is equal to the ratio of the segments determined by the angle bisector. This is known as the Angle bisector theorem.
So, in triangle ABC, if AD is the bisector of angle BAC,
$⇒\frac{AB}{AC} =

23 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
One who cannot hear.

Option 1: Illegible

Option 2: Inaudible

Option 3: Dumb

Option 4: Deaf

Team Careers360 10th Jan, 2024

Correct Answer: Deaf


Solution : The fourth option is the correct answer, as a deaf person lacks the power of hearing.

The meanings of the other options are as follows:

Illegible means not clear enough to be read.

Inaudible means unable to be heard.

A dumb person is a person

10 Views

Question : Who is the father of modern ecology?

Option 1: Robert Brown

Option 2: Charles Darwin

Option 3: E. P. Odum

Option 4: Robert Hook

Team Careers360 23rd Jan, 2024

Correct Answer: E. P. Odum


Solution : The correct answer is E. P. Odum.

E. P. Odum is considered the father of modern ecology. Eugene Pleasant Odum was an American biologist at the University of Georgia. He says, “Ecology is the study of the structure and function of ecosystems."

12 Views

Question : Theoretical foundations of Bharatanatyam have been found in which of these Shastras?

Option 1: Arthashastra

Option 2: Vaimanika Shastra

Option 3: Dharmashastra

Option 4: Natya Shastra

Team Careers360 6th Jan, 2024

Correct Answer: Natya Shastra


Solution : The correct answer is Natya Shastra.

Bharatanatyam's theoretical underpinnings are found in the Natya Shastra, an ancient Sanskrit treatise on performing arts. The Natya Shastra is said to have been authored between 200 BCE and 200 CE by the sage Bharata Muni. The Natya

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Question : If $(a+b+c)=16$ and $\left(a^2+b^2+c^2\right)=90$, find the value of $(a b+b c+c a)$.

Option 1: 84

Option 2: 83

Option 3: 82

Option 4: 81

Team Careers360 7th Jan, 2024

Correct Answer: 83


Solution : We have, $(a+b+c) = 16$ and $a^2 + b^2 + c^2 = 90$
We know that $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ca)$ 
So, $16^2 = 90 + 2(ab+bc+ca)$
⇒ $ab+bc+ca = \frac{16^2 - 90}{2}=83$
Hence, the correct answer is 83.

104 Views

Question : Replace the underlined word with its synonym to make the sentence more meaningful.
Narcotic drug addiction is in vogue these days, as it is the most popular form of substance abuse.

Option 1: demand

Option 2: obscurity

Option 3: standard

Option 4: fashion

Team Careers360 16th Jan, 2024

Correct Answer: fashion


Solution : The correct choice is the fourth option.

Explanation:
In vogue means something that is currently popular or fashionable. Fashion is a synonym that denotes something that is currently trendy or in style.

The meanings of the other options are as follows:

  • Obscurity means the state
15 Views

Question : Directions: Three of the following letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?

Option 1: PRKI

Option 2: JFOQ

Option 3: UWFD

Option 4: XZCA

Team Careers360 18th Jan, 2024

Correct Answer: JFOQ


Solution : Let's check the options –
First option: PRKI; P, K and R, I are opposite pairs.
Second option: JFOQ; J, O and F, Q are not opposite pairs.
Third option: UWFD; U, F and W, D are opposite pairs.
Fourth option: XZCA; X, C and

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