Staff Selection Commission Combined Graduate Level Exam
Question : Select the most appropriate ANTONYM of the given word. Native
Option 1: Vicinity
Option 2: Realm
Option 3: Foreign
Option 4: Aboriginal
Correct Answer: Foreign
Solution : The correct choice is the third option.
Foreign refers to something that comes from or belongs to a different country or place whereas the term native refers to something or someone that originates from a particular place or area.
The meanings of other words
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 5, 9, 6, 11, 7, ?
Option 1: 13
Option 2: 15
Option 3: 17
Option 4: 19
Correct Answer: 13
Solution : Given: 5, 9, 6, 11, 7, ?
Add 1 and 2 alternatively to the numbers of the given series as shown below –
So, 13 is the missing number. Hence, the first option is correct.
Question : Select the option that expresses the given sentence in passive voice. Did Rani call you?
Option 1: Did you called by Rani?
Option 2: Was you called by Rani?
Option 3: Were you called by Rani?
Option 4: Are you called by Rani?
Correct Answer: Were you called by Rani?
Solution : The third option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive voice.
Question : If $\small x+3y-\frac{2z}{4}=6, \; x+\frac{2}{3}(2y+3z)=33$ and $\frac{1}{7}(x+y+z)+2z=9,$ then what is the value of $46x+131y$?
Option 1: 414
Option 2: 364
Option 3: 384
Option 4: 464
Correct Answer: 414
Solution : Given: $x+3y-\frac{2z}{4} = 6$, $x+\frac{2}{3}(2y+3z) = 33\;$ and $\frac{1}{7}(x+y+z)+2z = 9$ Solution: $4x+12y-2z = 24......(i)$ $3x+4y+6z = 99.......(ii)$ $x+y+15z = 63........(iii)$ Multiplying equation (i) by 3, we get, $12x+36y-6z = 72......(iv)$ Now adding equation (ii) and (iv) we get, $15x+40y = 171.......(v)$ Multiplying equation (ii)
Question : Select the most appropriate synonym for the underlined word in the given sentence. You also worked with another eccentric genius.
Option 1: Middle
Option 2: ecological
Option 3: Peculiar
Option 4: elusive
Correct Answer: Peculiar
Eccentric refers to someone or something unconventional, peculiar, or deviating from the norm. Similarly, peculiar means unusual, distinctive, or particular to a person or thing.
The meanings of the other options are as follows:
Middle means pertaining to
Question : Minamata disease is a nervous disorder caused by eating fish polluted with _____.
Option 1: Iron
Option 2: Mercury
Option 3: Lead
Option 4: Nickel
Correct Answer: Mercury
Solution : The correct option is mercury.
Mercury, specifically methylmercury, a highly poisonous chemical, responsible for the Minamata sickness. The release of methylmercury into bodies of water poisoned fish, resulting in significant health problems for the people.
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: PUXZ
Option 2: CHLP
Option 3: TYBD
Option 4: SXAC
Correct Answer: CHLP
Solution : Let's check each option – First option: PUXZ→P + 5 = U; U + 3 = X; X + 2 = Z Second option: CHLP→C + 5 = H; H + 4 = L; L + 4 = P Third option: TYBD→T + 5 =
Question : Which is the most stable ecosystem?
Option 1: Desert
Option 2: Ocean
Option 3: Mountain
Option 4: Forest
Correct Answer: Ocean
Solution : The correct answer is ocean.
The ocean or marine ecosystem is the largest ecosystem in the world and it is the most stable ecosystem. Water covers nearly 71% of the earth's surface area. While ecosystem is a self sustaining unit of interacting living organisms and
Question : The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm, and its lateral surface area is 480 cm$^2$. What is the volume (in cm$^3$) of the prism?
Option 1: 540
Option 2: 600
Option 3: 720
Option 4: 640
Correct Answer: 720
Solution : Given: Lateral surface area of prism = 480 cm2 Lateral surface area of prism = perimeter of base × height Perimeter of triangle = 8 + 15 + 17 = 40 cm Let the height of the prime is $h$ cm ⇒ $40 ×
Question : If $ \frac{k-k \cot ^2 30^{\circ}}{1+\cot ^2 30^{\circ}}=\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ}$, then the value of k (correct to two decimal places) is:
Option 1: 5.55
Option 2: – 6.83
Option 3: – 5.58
Option 4: 6.83
Correct Answer: – 6.83
Solution : Computing RHS, $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = (\frac{\sqrt{3}}{2})^2+4\times1^2-(\frac{2}{\sqrt{3}})^2$ ⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{3}{4}+4-\frac{4}{3}$ ⇒ $\sin ^2 60^{\circ}+4 \tan ^2 45^{\circ}-\operatorname{cosec}^2 60^{\circ} = \frac{41}{12}$ Computing LHS, $ \frac{k-k \cot ^2 30^{\circ}}{1+\cot ^2 30^{\circ}} = k(\frac{1- (\sqrt{3})^2}{1+(\sqrt{3})^2})$ ⇒
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