Staff Selection Commission Combined Graduate Level Exam
Question : In the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB =18 cm, PB = 6 cm, and CP = 4 cm, then find the measure of PD.
Option 1: 14 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 20 cm
Correct Answer: 18 cm
Solution : Given: Two chords AB and CD intersect each other at point P inside the circle. AB =18 cm, PB = 6 cm and CP = 4 cm AP = AB – PB = 18 – 6 = 12 cm According to the formula, AP
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.
He had wonderful gifts of ________ and spoke to the birds.
Option 1: Uptight
Option 2: Folly
Option 3: Insight
Option 4: Dullness
Correct Answer: Insight
Solution : The correct answer is the third option: Insight.
Uptight: Tense, anxious, or overly concerned about rules and details. Folly: A lack of good sense or wisdom, often resulting in foolish actions. Insight: A deep understanding of a situation or issue, often gained
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".
It is been seen as a "prestige battle" for the PM and a litmus test for the president of the opposition party.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct choice is the second option.
The phrase "It is being seen" is the correct present continuous form. The sentence discusses a perception or observation that is ongoing, and the present continuous tense ("is being seen") is appropriate in this context. "Been" is not
Question : The term 'Straight drive' is related to which of the following sports?
Option 1: Hockey
Option 2: Cricket
Option 3: Football
Option 4: Badminton
Correct Answer: Cricket
Solution : The correct answer is Cricket.
The term straight drive is related to the game of cricket. It is a shot that is made by striking the ball in a straight line while using the entire bat's face. It is one of the finest shots ever
Question : In 1664, who discovered the fifth star in the Trapezium, an asterism (mini-constellation) in the constellation Orion?
Option 1: George Willis Ritchey
Option 2: Giordano Bruno
Option 3: Johannes Kepler
Option 4: Robert Hooke
Correct Answer: Robert Hooke
Solution : The correct answer is Robert Hooke.
In 1664, Robert Hooke found the fifth star in the Trapezium, an asterism in Orion's constellation. He was an English scientist and inventor best recognised for his contributions to microscopic observations, optics, and elasticity.
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).
Owing to his respiratory problems the doctor has told him to refrain from smoking.
(1) to not refrain from
(2) to refrain to
(3) to refrain not from
(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.
There is no improvement required in the sentence. The original sentence is grammatically correct and effectively conveys the intended meaning.
To refrain from is the appropriate way to express the doctor's advice for the person to avoid
Question : Preservation of historical articles is done in the science of
Option 1: Iconography
Option 2: Numismatic
Option 3: Museology
Option 4: Epigraphy
Correct Answer: Museology
Solution : The correct answer is Museology.
The science of preservation of historical articles is known as museology. Iconography is the study of visual images and symbols; numismatics is the study of coins and currencies; epigraphy is the study of inscriptions and epigraphs.
Question : $x,y,$ and $z$ are real numbers. If $x^3+y^3+z^3 = 13, x+y+z = 1$ and $xyz=1$, then what is the value of $xy+yz+zx$?
Option 1: –1
Option 2: 1
Option 4: –3
Correct Answer: –3
Solution : Given: $x^{3}+y^{3}+z^{3}=13$, $ x+y+z=1$, $xyz=1$ We know, $x^{3}+y^{3}+z^{3}-3xyz= (x^{2}+y^{2}+z^{2}-xy-yz-zx)$ $⇒x^{3}+y^{3}+z^{3}-3xyz= (x+y+z)((x+y+z)^{2}-3(xy+yz+zx))$ Substituting values of $x^{3}+y^{3}+z^{3}$, $ x+y+z$ and $xyz$, $⇒13-3(1)=(1)((1^{2}-3(xy+yz+zx))$ $⇒xy+yz+zx=\frac{10-1}{-3}$ $\therefore xy+yz+zx=-3$ Hence, the correct answer is –3.
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: (11, 121)
Option 2: (13, 169)
Option 3: (19, 391)
Option 4: (21, 441)
Correct Answer: (19, 391)
Solution : Let's check the options – First option: (11, 121)→(11)2 = 121 Second option: (13, 169)→(13)2 = 169 Third option: (19, 391)→(19)2 = 361 ≠ 391 Fourth option: (21, 441)→(21)2 = 441
The third option does not follow a similar pattern
Question : Molten rock below the surface of the earth is called
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is Magma.
Magma is an extremely hot liquid or semi-liquid rock found beneath the Earth's surface. Hot molten rocks generated within the ground are sometimes forced out through breaks on the earth's surface such as craters in the form of volcanic eruption.
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