Staff Selection Commission Combined Graduate Level Exam
Question : Who among the following became the first Indian to be invited to perform at the prestigious Lincoln Centre Hall in the United States of America?
Option 1: M. S. Subbulakshmi
Option 2: Zakir Hussain
Option 3: Ravi Shankar
Option 4: Bismillah Khan
Correct Answer: Bismillah Khan
Solution : The correct option is Bismillah Khan.
Bismillah Khan, the famous Indian shehnai maestro, was the first Indian to be asked to perform at New York's prestigious Lincoln Centre Hall in 1968. He also received several honours, including the Padma Vibhushan and the Bharat Ratna.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A hummingbird’s brilliant throat colour is not caused by feather (1) ________, but rather by iridescence in the arrangement of the feathers. Light level, moisture, angle of viewing, wear and tear and other factors all (2) ______ just how bright and colourful the throat may appear. Hummingbirds cannot walk or hop, though their feet can be used to (3) _____ sideways while they are perched. These birds have evolved smaller feet to be lighter for more (4) ______ flying. They will use their feet for itching and (5) _______, however.
Question
Select the most appropriate option to fill in the blank number 1.
Option 1: perspiration
Option 2: deposition
Option 3: sediment
Option 4: pigment
Correct Answer: pigment
Solution : The fourth option is the correct choice.
Pigment is a colour substance that gives colour to another material. It is the most suitable choice to convey the idea of colour in the context of the passage.
The meanings of the other options are as follows:
Question : In $\triangle ABC$, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE : BC = 6 : 7. (Area of $\triangle {ADE}$ ) : (Area of trapezium BCED) = ?
Option 1: 49 : 13
Option 2: 13 : 36
Option 3: 13 : 49
Option 4: 36 : 13
Correct Answer: 36 : 13
Solution : DE : BC = 6 : 7 Theorem Used: The ratios of the areas of two similar triangles are equal to the square of the ratio of their corresponding sides Calculation: Considering $\triangle$ABC and $\triangle$ADE $\angle$A = $\angle$A (Common) As DE || BC
Question : The ‘Sorrow of Bengal’ is _______.
Option 1: The Narmada
Option 2: The Damodar
Option 3: The Koshi
Option 4: The Tapi
Correct Answer: The Damodar
Solution : The correct answer is The Damodar.
The devastating floods that the River Damodar causes in the West Bengal plains have earned it the nickname "Bengal's sorrow." Because of the southwest monsoon, the Damodar River catchment area receives seasonal rains every year. Depending on the
Question : What is the altitude of an equilateral triangle whose side is 15 cm?
Option 1: $15\sqrt3\text{ cm}$
Option 2: $10\sqrt 3\text{ cm}$
Option 3: $\frac{9\sqrt 3 }{2}\text{ cm}$
Option 4: $\frac{15\sqrt 3}{2}\text{ cm}$
Correct Answer: $\frac{15\sqrt 3}{2}\text{ cm}$
Solution : Given: The side of the triangle is 15 cm. Let the altitude be $x$ cm. The length of the altitude of an equilateral triangle = $\frac{\sqrt3}{2}$ × side of the triangle. ⇒ $x = \frac{\sqrt3}{2}\times15$ ⇒ $x = \frac{15\sqrt3}{2}$ Hence, the correct answer
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
One (1) / should keep (2) / his word. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
When a sentence uses the indefinite pronoun one, it should continue using the same pronoun or its supplementary forms i.e., one's in this case, as it is not correct to use other pronouns
Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?
Option 1: 219
Option 2: 137
Option 3: 231
Option 4: 279
Correct Answer: 279
Solution : Given: The first term is 7 and the last term is 55. Using the formula, S9 = $\frac{n}{2}(a+l)$ Where $a$ is the first term, $l$ is the last term of the A.P., and n is the number of terms. By putting the value of
Question : In a cut motion, when the amount of demand is reduced by Rs.100 it is known as
Option 1: Disapproval of policy cut
Option 2: Economy cut
Option 3: Vote on account
Option 4: Token cut
Correct Answer: Token cut
Solution : The correct answer is Token cut.
Cut motions are the method of accountability with the opposition in Lok Sabha. It is a form of checks and balances in the Indian constitutional setup. In a token-cut-specific issue. It asks for a discussion on a
Question : What is the value of $\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$?
Option 1: $15(\sqrt5–\sqrt3)$
Option 2: $3(5\sqrt5+\sqrt3)$
Option 3: $15(\sqrt5+\sqrt3)$
Option 4: $3(3\sqrt5+\sqrt3)$
Correct Answer: $3(5\sqrt5+\sqrt3)$
Solution : Given: $\left[\frac{12}{(\sqrt5+\sqrt3)}+\frac{18}{(\sqrt{5}-\sqrt3)}\right]$ = $\frac{12\sqrt5-12\sqrt 3+18\sqrt5+18\sqrt 3}{(\sqrt5+\sqrt3)(\sqrt{5}-\sqrt3)}$ = $\frac{30\sqrt5+6\sqrt3}{5-3}$ = $\frac{6(5\sqrt5+\sqrt3)}{2}$ = $3(5\sqrt5+\sqrt3)$ Hence, the correct answer is $3(5\sqrt5+\sqrt3)$.
Question : If $x+y+z=1, \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1,$ and $xyz=-1$, then $x^3+y^3+z^3 $ is equal to:
Option 1: –1
Option 2: 1
Option 3: –2
Option 4: 2
Correct Answer: 1
Solution : Given: $x+y+z=1,\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$, $xyz=-1$ Consider, $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$ ⇒ $xy+yz+zx=xyz=-1$ Now, $x+y+z=1$ ⇒ $(x+y+z)^2=1^2$ ⇒ $x^2+y^2+z^2+2(xy+yz+zx)=1$ ⇒ $x^2+y^2+z^2+2(-1)=1$ ⇒ $x^2+y^2+z^2=3$ We know, $x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx)$ So, putting all the values, we get, ⇒ $x^3+y^3+z^3-3×(-1)=1×[3-(-1)]$ ⇒ $x^3+y^3+z^3=4-3$ $\therefore x^3+y^3+z^3=1$ Hence, the correct answer is 1.
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