Staff Selection Commission Combined Graduate Level Exam
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. It was the night before the day fixed for his coronation, and the young King was sitting alone in his beautiful chamber. B. And, indeed, it was the hunters who had found him, coming upon him almost by chance as, bare-limbed and pipe in hand, he was following the flock of the poor goat herd who had brought him up, and whose son he had always fancied himself to be. C. The lad—for he was only a lad, being but sixteen years of age not sorry at their departure, and had flung himself back with a deep sigh of relief on the soft cushions of his embroidered couch, lying there, wild-eyed and open-mouthed, like a brown woodland Faun, or some young animal of the forest newly snared by the hunters. D. His courtiers had all taken their leave of him, bowing their heads to the ground, according to the ceremonious usage of the day, and had retired to the Great Hall of the Palace, to receive a few last lessons from the Professor of Etiquette; there being some of them who had still quite natural manners, which in a courtier is, I need hardly say, a very grave offence.
Option 1: ADCB
Option 2: CBDA
Option 3: ACDB
Option 4: CDBA
Correct Answer: ADCB
Solution : The correct choice is the third option i.e., ADCB.
The paragraph describes the events leading up to a young King's coronation. It begins with the King in his chamber, followed by his courtiers leaving for etiquette lessons. It highlights the King's youth and includes background
Question : If the angles of a triangle are (x – 46)°, (x + 96)°, and 8x°, then what is the value of 2x?
Option 1: 15°
Option 2: 24°
Option 3: 26°
Option 4: 13°
Correct Answer: 26°
Solution : All internal angles of a triangle add up to 180°. $(x - 46)° + (x + 96)° + 8x° = 180$ $⇒ 10x + 50° = 180°$ $⇒ 10x = 130°$ $⇒ x = 13°$ $\therefore 2x = 26°$ Hence, the correct answer is 26°.
Question : A policeman sees a chain snatcher at a distance of 500 m. He starts chasing the chain snatcher who is running at a speed of 5 m/s, while the policemen are chasing him at a speed of 15 m/s. When the chain snatcher is caught by the policemen, what distance will the chain snatcher have covered?
Option 1: 200 m
Option 2: 180 m
Option 3: 150 m
Option 4: 250 m
Correct Answer: 250 m
Solution : Speed of the policeman = 15 m/s Speed of the snatcher = 5 m/s Relative speed of policeman with respect to snatcher= (15 – 5) m/s = 10 m/s Distance the policeman has to cover = 500 m Now, Time by which snatcher is
Question : The value of $x$ for which the expressions $15x+4$ and $13x-2$ become equal is:
Option 1: –1
Option 2: 1
Option 3: –3
Option 4: 3
Correct Answer: –3
Solution : Given: Value of $x$ for $15x+4=13x-2$. ⇒ $15x-13x=-2-4$ ⇒ $2x=-6$ ⇒ $x=\frac{-6}{2}$ ⇒ $x=-3$ Hence, the correct answer is –3.
Question : In a triangle, if three altitudes are equal, then the triangle is:
Option 1: obtuse
Option 2: equilateral
Option 3: right-angled
Option 4: Isosceles
Correct Answer: equilateral
Solution : AD, BE and CF are the altitudes drawn on sides BC, CA and AB of $\triangle$ABC such that AD = BE = CF. Since area of triangle = $\frac{1}{2}$ × base × corresponding altitude, Area of $\triangle$ABC = $\frac{1}{2}$ × BC × AD = $\frac{1}{2}$
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement".
A chance remark by her friend transported her life.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct option is the third option.
The appropriate answer is transformed. This word shows that her friend's comment influenced her life, which is the intended meaning.
The meanings of the other options are as follows:
Question : Of the three numbers whose average is 40, the first is $\frac{1}{3}$rd of the sum of the other two. What is the first number?
Option 1: 20
Option 2: 50
Option 3: 25
Option 4: 30
Correct Answer: 30
Solution : Let the numbers be $x, y, z$. Their average is 40. Sum = $x + y + z = 40 × 3 = 120$ --(1) and given that $x = \frac{1}{3}(y+z)$ ⇒ $3x = y + z$ Putting the value of $y+z$ in equation 1,
Question : In $\triangle A B C, O$ is the point of intersection of the bisectors of $\angle B$ and $\angle A$. If $\angle B O C=108^{\circ}$, then $\angle B A O=$?
Option 1: 27°
Option 2: 40°
Option 3: 18°
Option 4: 36°
Correct Answer: 18°
Solution : In $\triangle$ABC, O is the point of intersection of the bisectors of $\angle$B and $\angle$A $\angle$BOC = 108° If the bisector of $\angle$ABC and $\angle$ACB of a triangle ABC meet at a point O then, $\angle$BOC = $90^\circ + \frac{1}{2}$$\angle$A ⇒ $108^\circ = 90^\circ +
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).
There are a good many tigers in this forest.
(1) some good many tigers
(2) the good many tigers
(3) an good many tigers
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct option is the fourth option.
In this sentence, the phrase "a good many" is idiomatic and means "a considerable number" or "a large quantity", so it is appropriate in this context. The other options provided do not improve the sentence
Question : The crust is the Earth's outermost layer that is less than _______ per cent of Earth by mass, with oceanic crust and continental crust often consisting of more felsic rocks.
Option 1: 5
Option 3: 2
Option 4: 10
Correct Answer: 1
Solution : The correct option is 1.
Earth's crust is its thick outer layer of rock, accounting for less than 1% of the planet's radius and volume. It is the uppermost layer of the lithosphere, which contains the crust and the upper portion of the mantle.
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