Staff Selection Commission Combined Graduate Level Exam
Question : The value of $\operatorname{cosec}^{2}60°+\sec^{2}60°– \cot^{2}60°+\tan^{2}30°$ will be:
Option 1: $5$
Option 2: $5\frac{1}{2}$
Option 3: $5\frac{1}{3}$
Option 4: $5\frac{2}{3}$
Correct Answer: $5\frac{1}{3}$
Solution : Given: $\operatorname{cosec}^{2}60°+\sec^{2}60°– \cot^{2}60°+\tan^{2}30°$ We know that $\operatorname{cosec60°} = \frac{2}{\sqrt{3}}$ $\sec 60° = 2$ $\cot 60° = \frac{1}{\sqrt{3}}$ $\tan 30° = \frac{1}{\sqrt{3}}$ Substituting these values in the given expression, we get: = $(\frac{2}{\sqrt{3}})^{2} + 2^{2} – (\frac{1}{\sqrt{3}})^{2} +(\frac{1}{\sqrt{3}})^{2}$ = $\frac{4}{3}+4=\frac{16}{3}= 5\frac{1}{3}$ Hence, the correct answer is
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The letters at the top right corner are increased by 2. 2. The letters at the bottom right corner are increased by 3.
3. The letters at the top left corner are increased by 1. 4. The letters at
Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm2).
Option 1: $81\sqrt{3}$
Option 2: $8\sqrt{3}$
Option 3: $25\sqrt{3}$
Option 4: $64\sqrt{3}$
Correct Answer: $64\sqrt{3}$
Solution : Let $a$ be the side of an equilateral triangle. The perimeter of an equilateral triangle = 48 cm So, $3a= 48$ $\therefore a= 16$ Now, the area of an equilateral triangle = $\frac{\sqrt3a^2}{4}$ = $\frac{\sqrt3×16^2}{4}$ = $64\sqrt3$ cm2 Hence, the correct answer is $64\sqrt3$.
Question : Beginning from the Financial Year 2017-18 NITI Aayog plans to replace the Five-Year plans with which of the following?
Option 1: 5-year Vision Document
Option 2: 10-year Vision Document
Option 3: 15-year Vision Document
Option 4: 20-year Vision Document
Correct Answer: 15-year Vision Document
Solution : The correct answer is a 15-year Vision Document.
With effect from April 1, 2017, the NITI Aayog, which previously served as the Planning Commission in the Modi Cabinet, has taken over. A three-year action plan was substituted for the outdated five-year plans,
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
If the room had been brighter, Shweta would have been able to read for a while before bedtime.
(1) If the room was brighter, Shweta would have been able to read for a while before bedtime.
(2) If the room been brighter, Shweta would have been able to read for while before bedtime.
(3) Have the room been brighter, Shweta would have been able to read for while before bedtime.
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct answer is the fourth option as it does not need any improvement.
It uses the correct conditional tense to indicate a hypothetical situation in the past.
Question : Direction: If JOSEPH is coded as FKOALD, then how GEORGE will be coded in that code language?
Option 1: CADMNO
Option 2: CAKNIT
Option 3: CAKNCA
Option 4: JAKINS
Correct Answer: CAKNCA
Solution : Given:
JOSEPH is coded FKOALD, and the following pattern is followed:
J – 4 = F ; O – 4 = K ; S – 4 = O ; E – 4 = A ; P – 4 = L ; H – 4 =
Question : In India, who among the following is responsible for auditing all receipts and expenditures of the union and state governments?
Option 1: Attorney General for India
Option 2: Advocate General
Option 3: Union Public Service Commission
Option 4: Comptroller and Auditor General
Correct Answer: Comptroller and Auditor General
Solution : The correct answer is Comptroller and Auditor General.
In India, the Comptroller and Auditor General (CAG) is responsible for auditing all receipts and expenditures of the union and state governments. The CAG is an independent constitutional authority and plays a crucial role
Question : Directions: Which figure should replace the question mark (?) if the series were to be continued?
Solution : In the given figure, follow the directions to find the next term – 1. An arrow at the centre is rotating 45° in the clockwise direction. 2. B is rotating by 90° in the anti-clockwise direction. Movement of B – Top left→Top centre→Top right 3. A
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
While you stay here, you do need not a blueprint of planning; you do not need to think of searching the future.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The sentence can be improved using the first option.
The phrase "do need not" is grammatically incorrect. Hence, "do need not" should be replaced with "do not need" as it means 'don't require'. The phrase "do not need" is the correct choice
Question : Select the option that expresses the given sentence in passive voice.
She is building a new house.
Option 1: A new house is being built by her.
Option 2: She had built a new house.
Option 3: She has built a new house.
Option 4: A new house has been built by her.
Correct Answer: A new house is being built by her.
Solution : The correct choice is the first option.
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
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