Staff Selection Commission Combined Graduate Level Exam
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 2: 1
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.
Question : Who among the following headed the National Income Committee?
Option 1: P.C. Mahalanobis
Option 2: V. K. R. V. Rao
Option 3: D. R. Gadgil
Option 4: B. R. Ambedkar
Correct Answer: P.C. Mahalanobis
Solution : The correct option is P.C. Mahalanobis.
P.C. Mahalanobis was the chief architect of the Second Five-Year Plan of India (1956–1961) and was the head of the National Income Committee. He was crucial in shaping India's strategies for economic development and planning.
Question : A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z =?
Option 1: 9 : 6 : 7
Option 2: 7 : 9 : 4
Option 3: 9 : 4 : 7
Option 4: 6 : 7 : 9
Correct Answer: 9 : 6 : 7
Solution : The ratio of investment of A, B, and C is = 5 : 7 : 4 The timing ratio of A, B, and C is = x : y : z The profits distribution ratio is = 45 : 42 :
Question : In the following figure, two circles touch each other externally. The radius of the first circle with centre P is 25 cm. The radius of the second circle with centre Q is 4 cm. Find the length of their direct common tangent, AB. The figure is not to scale and is only for representational purposes.
Option 1: 21 cm
Option 2: 18 cm
Option 3: 20 cm
Option 4: 22 cm
Correct Answer: 20 cm
Solution : Here, $r_{1} = 25, r_{2} = 4$ Length of a common tangent = $\sqrt{(r_{1}+r_{2})^{2} - (r_{1}-r_{2})^{2}}$ = $\sqrt{29^{2} - 21^{2}}$ = $\sqrt{841-441}$ = $\sqrt{400}$ = $20$ cm Hence, the correct answer is 20 cm.
Question : The number 2918245 is divisible by which of the following numbers?
Option 1: 3
Option 2: 11
Option 3: 12
Option 4: 9
Correct Answer: 11
Solution : Given number = 2918245 Divisibility rule for 3: A number is completely divisible by 3 if the sum of its digits is divisible by 3. Here, 2 + 9 + 1 + 8 + 2 + 4 + 5 = 31, which is not divisible
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at 1, 2, and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is 4.
The internet has totally changed the world like no other technology before it.
(1) revolutionised
(2) reformed
(3) radicalised
(4) No Improvement
Solution : The first option is the correct choice.
Revolutionised means to completely change something, often in a dramatic or transformative way. In the context of technological advancements, especially the internet, "revolutionised" is the most appropriate term to convey the idea that the internet has brought about
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
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Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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