Staff Selection Commission Combined Graduate Level Exam
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
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 -
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
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.
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
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} =
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
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
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
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."
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
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
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
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.
Question : Directions: A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
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
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.
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
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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