Staff Selection Commission Combined Graduate Level Exam
Question : As of 10 April 2022, who among the following is the Chief Minister of Puducherry?
Option 1: N. Rangaswamy
Option 2: R. V. Janakiraman
Option 3: V. Vaithilingam
Option 4: P. Shanmugam
Correct Answer: N. Rangaswamy
Solution : The correct answer is N. Rangaswamy.
N. Rangaswamy, the founder of the All India NR Congress (AINRC), serves as Puducherry's chief minister. He has held the position of Puducherry chief minister for four terms.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Despite his father's financial assistance, he was always (hard on).
(1) hard in
(2) hard up
(3) hard out
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
Hard up is the correct phrasal verb to use in this context. It means lacking money or financially struggling, which fits the meaning of the sentence.
The meanings of the other options are as follows:
Question : The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?
Option 1: 28
Option 2: 22
Option 3: 24
Option 4: 26
Correct Answer: 28
Solution : Let the numbers be $3x$ and $4x$. Squares of the numbers are $9x^2$ and $16x^2$. According to the question, $9x^2 + 16x^2 = 400$ ⇒ $25x^2= 400$ ⇒ $x^2 = 16$ $\therefore x = 4$ The numbers are $(3 × 4) = 12$ and $(4
Question : If basis points are defined so that 1% is equal to 100 basis points, by how many basis points is 82.5% greater than 62.5%?
Option 1: 0.2
Option 2: 20
Option 3: 200
Option 4: 2000
Correct Answer: 2000
Solution : 1% = 100 basis points Difference in basis points = (82.5 – 62.5)% = 20% Required basis points = 20 × 100 = 2000 Hence, the correct answer is 2000.
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: Some pencils are rods. No rod is a door. All balls are rods. Conclusions: I. Some pencils being balls is a possibility. II. No ball is a door. III. All rods are balls. IV. No pencil is a door.
Option 1: Only conclusions I, II, and IV follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusions II and III follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pencils being balls is a possibility – It is a possibility that the two circles representing pencils and balls
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. COOK : DQPM :: DOWN : EQXP :: ONLY : ?
Option 1: PPMA
Option 2: PPMB
Option 3: PQMA
Option 4: PQMB
Correct Answer: PPMA
Solution : Given: COOK : DQPM :: DOWN : EQXP :: ONLY : ?
In the above-given pairs, add 1 to the place value of the first and third letters and add 2 to the place value of the second and fourth letters to get the related
Question : Largest producer of Bauxite in the world is
Option 1: U.S.A.
Option 2: Jamaica
Option 3: Chile
Option 4: Australia
Correct Answer: Australia
Solution : The Correct answer is Australia.
Bauxite is the ore of Aluminium and Australia is its largest producer. Weipa Mine in Queensland, Australia is the largest Bauxite Mine in the world. It holds about 16% of the total global reserves. Australia is followed by China, Brazil,
Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.
DISAPPOINTMENT
Option 1: OINTMENT
Option 2: TENEMENT
Option 3: POSITION
Option 4: POINTER
Correct Answer: POINTER
Solution : Given:
First option: OINTMENT;
All the letters of the above word are present in the given word DISAPPOINTMENT.
Second option: TENEMENT;
Third option: POSITION;
All the letters of the above
Question : What is Gandhi's definition of Rama Raj ?
Option 1: The rule as it was during the time of Rama
Option 2: Sovereignty of the people based on pure moral authority
Option 3: The greatest good of all
Option 4: The absolute power concentrated in the hands of a king
Correct Answer: The greatest good of all
Solution : The correct option is - The greatest good of all
Gandhi envisioned a society where leaders ruled with a sense of duty, selflessness, and a commitment to the welfare of all citizens. In Rama Rajya, there would be no discrimination, and
Question : If $\cos^2 \theta=\frac{3}{4}$, where $\theta$ is an acute angle, then the value of $\sin \left(\theta+30^{\circ}\right)$ is:
Option 1: $1$
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $\frac{1}{2}$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $\frac{\sqrt{3}}{2}$
Solution : Given: $\cos^2 \theta=\frac{3}{4}$ ⇒ $\cos \theta=\pm\frac{\sqrt3}{2}$ $\theta$ is an acute angle i.e. it will be less than 90°. $\therefore \cos \theta=-\frac{\sqrt3}{2}$ will be rejected. ⇒ $\cos \theta=\frac{\sqrt3}{2}$ ⇒ $\theta = 30°$ Now we have to find $\sin \left(\theta+30^{\circ}\right)$ $ = \sin(30° + 30°) = \sin
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