Staff Selection Commission Combined Graduate Level Exam
Question : If $x-\frac{3}{x}=6, x \neq 0$, then the value of $\frac{x^4-\frac{27}{x^2}}{x^2-3 x-3}$ is:
Option 1: 80
Option 2: 270
Option 3: 54
Option 4: 90
Correct Answer: 90
Solution : $x-\frac{3}{x}=6$ ⇒ $x^2 - 3 = 6x$ ⇒ $x^2 - 6x -3 =0$ ⇒ $x^2 - 3x -3 =3x$ ---(1) ($x-\frac{3}{x})^3= 6^3$ ⇒ $x^3 - (\frac{3}{x})^3 - 3(x-\frac{3}{x}) = 216$ ⇒ $x^3 - (\frac{3}{x})^3 - 9(6) = 216$ ⇒ $x^3 - (\frac{3}{x})^3 - 54 =
Question : Select the correct active form of the given sentence.
This passage has been cleaned by Bhanu with his vacuum cleaner.
Option 1: Bhanu has cleaned this passage with his vacuum cleaner.
Option 2: Bhanu has cleaned his vacuum cleaner with this passage.
Option 3: Bhanu was cleaning this passage with his vacuum cleaner.
Option 4: Bhanu had cleaned this passage with his vacuum cleaner.
Correct Answer: Bhanu has cleaned this passage with his vacuum cleaner.
Solution : The first option is the correct choice.
Active voice is the voice where the subject performs the action. Hence, "Bhanu" will become the subject, and "passage" will become the object of the sentence in the active voice.
Question : The only AICC session Gandhiji presided was held at :
Option 1: Calcutta
Option 2: Madras
Option 3: Belgaum
Option 4: Lahore
Correct Answer: Belgaum
Solution : Correct Answer is Belgaum
Belgaum (abbreviated to Belagavi) is a town in Karnataka, India. It is situated in the northern part of Karnataka, along the Western ghats. Gandhiji's act as a leader was to launch the 'Individual Satyagrahas' in order to defend freedom of expression.
Question : Thorny bushes are found in ______ region.
Option 1: Mediterranean
Option 2: polar
Option 3: desert
Option 4: high rainfall
Correct Answer: desert
Solution : The correct option is desert.
Thorny bushes are found in arid and semi-arid regions. These regions typically have low precipitation levels, and the vegetation has adapted to survive in such dry conditions. Thorny bushes are well-suited to these environments, as their thorns can help
Question : AB is a chord in the minor segment of a circle with centre O. C is a point on the minor arc (between A and B ). The tangents to the circle at A and B meet at a point P. If $\angle \mathrm{ACB}=108^{\circ}$, then $\angle \mathrm{APB}$ is equal to:
Option 1: $36^{\circ}$
Option 2: $54^{\circ}$
Option 3: $27^{\circ}$
Option 4: $18^{\circ}$
Correct Answer: $36^{\circ}$
Solution :
Point D is taken on the major arc of the circle. Then, AD, BD, CB, and AC are joined.$\angle ACB = 108^\circ$ Now, $\angle ADB = (180 - 108)^\circ = 72^\circ$ Now, $\angle AOB = (72\times 2)^\circ = 144^\circ$ Since $OA = OB,\triangle AOB$ is
Question : At the beginning of the 19th century, cotton mills in India were mostly located in which of the following states?
Option 1: Assam
Option 2: Punjab
Option 3: Maharashtra
Option 4: Haryana
Correct Answer: Maharashtra
Solution : The correct answer is Maharashtra.
Maharashtra was also the location of India's first cotton mill. The first cotton mill was set up by a British spinning and weaving company. Maharashtra is one of the leading producers of cotton textiles in India. Cotton is one of
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The gate _________ by the watchman on duty.
Option 1: opened
Option 2: was opened
Option 3: were opened
Option 4: was opening
Correct Answer: was opening
Solution : The phrase "was opening" indicates an ongoing action related to the gate. To complete the sentence conceptually, we should choose a word that describes the action of the watchman in relation to the gate.
The correct word to fill in the blank should be
Question : A good proportion of the ______ produced during the Green Revolution period (available as marketed surplus) was sold by the farmers in the market.
Option 1: rice and gram
Option 2: wheat and maize
Option 3: wheat and rice
Option 4: wheat and gram
Correct Answer: wheat and rice
Solution : The correct option is wheat and rice.
Farmers sold a sizable share of the wheat and rice produced during the Green Revolution era in the market as marketed surplus. A good proportion of the agricultural surplus produced during the Green Revolution period
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
The judges remarked on the high standard of entries for the competition.
(1) remarked of
(2) remarked at
(3) remarked over
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
Remarked on is the appropriate phrase to express how the judges commented on the high standard of entries.
Therefore, the sentence is, "The judges remarked on the high standard of entries for the competition."
Question : Who has won the 'Miss Universe 2016' title?
Option 1: Pia Wurtzbach
Option 2: Iris Mittenaere
Option 3: Raquel Pellissier
Option 4: Andrea Tova
Correct Answer: Iris Mittenaere
Solution : The correct option is Iris Mittenaere
The winner of the Miss Universe 2016 title was Iris Mittenaere from France. She was crowned Miss Universe during the 65th Miss Universe pageant held in Manila, Philippines.
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