Staff Selection Commission Combined Graduate Level Exam
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error He went / to the bed / with a / slight fever.
Option 1: slight fever
Option 2: to the bed
Option 3: with a
Option 4: He went
Correct Answer: to the bed
Solution : The error lies in the second option.
The correct preposition to use in this context is to bed rather than to the bed.
The expression to bed is idiomatic when referring to going to sleep or lying down, and it doesn't require the
Question : The height of an equilateral triangle is $7 \sqrt{3}$ cm. What is the area of this equilateral triangle?
Option 1: $36 \sqrt{3}$ cm2
Option 2: $25 \sqrt{3}$ cm2
Option 3: $49 \sqrt{3}$ cm2
Option 4: $32 \sqrt{3}$ cm2
Correct Answer: $49 \sqrt{3}$ cm2
Solution : Height of an equilateral triangle = $\frac{\sqrt{3}}{2} \times Side$ Area of an equilateral triangle = $\frac{\sqrt{3}}{4} \times Side^2$ So, each side of the triangle = $\frac{7\sqrt{3}}{\frac{\sqrt{3}}{2}}$ = 14 cm Area of an equilateral triangle = $\frac{\sqrt{3}}{4} \times 14^2$ = $49\sqrt{3}$ cm2
Question : A mask manufacturing company manufactured an ‘$x$’ number of masks in 2018. It increased its manufacturing capacity by 30% in 2019 and further increased its manufacturing by 15% in 2020. In 2021, due to the machinery breakdown, its manufacturing declined by 40%. What is the value of ‘X’ if it manufactured 179400 masks in 2021?
Option 1: 180000
Option 2: 230000
Option 3: 200000
Option 4: 210000
Correct Answer: 200000
Solution : Given: A mask manufacturing company manufactured an ‘$x$’ number of masks in 2018. It increased its manufacturing capacity by 30% in 2019 and further increased its manufacturing by 15% in 2020. Mask manufactured in 2019 = $x × \frac{130}{100}$ = $\frac{13x}{10}$ Mask manufactured in 2020
Question : If $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers), then what is the value of $\frac{1}{x^{–1}}+\frac{1}{y^{–1}}$?
Option 1: –1
Option 2: –2
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : Given: $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers) We know the algebraic identity, $(x+y)^3=x^3 + y^3+3xy(x+y)$. Substitute the given values in the above formula, ⇒ $(x+y)^3=19+3\times(-6)\times(x+y)$ ⇒ $(x+y)^3=19-18\times(x+y)$ Let $(x+y)=u$. ⇒ $u^3+18u–19=0$ ⇒ $u^3–u^2+u^2–u+19u–19=0$ ⇒ $u^2(u–1)+u(u–1)+19(u–1)=0$ ⇒ $(u–1)(u^2+u+19)=0$ ⇒ $u-1=0$
Question : Select the option that can be used as a one-word substitute for the underlined group of words. While I was travelling in Europe, I met a man who drew maps.
Option 1: Cartographer
Option 2: Geographer
Option 3: Arbitrator
Option 4: Anthropologist
Correct Answer: Cartographer
Solution : The correct choice is the first option.
A cartographer is an individual who engages in the practice or art of making maps. Therefore, "cartographer" is the appropriate one-word substitute for the underlined group of words.
Question : Which of the following is used in photography?
Option 1: Sodium bicarbonate
Option 2: Sodium thiosulphate
Option 3: Sodium hydroxide
Option 4: Sodium sulphate
Correct Answer: Sodium thiosulphate
Solution : The correct option is Sodium thiosulphate.
Sodium thiosulfate is used in photography as a fixing agent, especially in traditional film and darkroom processes. It is used to fix or stabilise the developed image on photographic paper by removing unexposed silver halide.
Question : Directions: Which of the following letter clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : CLQ :: NDK : %
Option 1: # = AJS, % = MAM
Option 2: # = AOO, % = PAM
Option 3: # = EIT, % = QBN
Option 4: # = DIS, % = PBN
Correct Answer: # = AOO, % = PAM
Solution : Given: # : CLQ :: NDK : %
Let's check the options – First option: # = AJS, % = MAM AJS : CLQ→A + 2 = C; J + 2 = L; S – 2 = Q NDK :
Question : In the given figure, if KI = IT and EK = ET, then $\angle$ TEI =________.
Option 1: 75°
Option 2: 125°
Option 3: 105°
Option 4: 150°
Correct Answer: 105°
Solution : KI = IT and EK = ET $\angle$ KET = 150° In $\triangle$ KEI and $\triangle$ TEI, KI = IT [Given] EK = ET [Given] EI = EI [Common] So, $\triangle$ KEI $\cong$ $\triangle$ TEI, ⇒ $\angle$ KEI = $\angle$ TEI Now, $\angle$ KET +
Question : Directions: In a code language, SLAIN is written as PKCNU and DENT is written as VPGF. How will CUBOID be written in that language?
Option 1: FKQDWE
Option 2: FJQDWE
Option 3: FKQDVF
Option 4: EWDPKE
Correct Answer: FKQDWE
Solution : Given: SLAIN is written as PKCNU and DENT is written as VPGF.
Follow the pattern to obtain the required code – Thus, SLAIN is coded as PKCNU. And, DENT is written as VPGF. Thus, DENT is coded as VPGF. Similarly, follow the same pattern for
Question : Select the option that can be used as a one-word substitute for the given group of words. A shortened version of a larger work
Option 1: Summary
Option 2: Precise
Option 3: Shorts
Option 4: Abridgement
Correct Answer: Abridgement
Solution : The correct choice is the fourth option.
Abridgement is a term used to describe a version of a larger work that has been condensed. This involves shortening the original work by omitting details while still preserving the essential content and narrative.
The meanings of
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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