Staff Selection Commission Combined Graduate Level Exam
Question : Two circles of radius 10 cm and 5 cm touch each other externally at point A. PQ is the direct common tangent of those two circles of centres O1 and O2, respectively. The length of PQ is equal to:
Option 1: $10\sqrt{2}$ cm
Option 2: $8\sqrt{2}$ cm
Option 3: $9\sqrt{2}$ cm
Option 4: $6\sqrt{2}$ cm
Correct Answer: $10\sqrt{2}$ cm
Solution : Given: Here, the radius of the first circle ($r_1$) = 10 cm And the radius of the second circle ($r_2$) = 5 cm PQ is the direct common tangent of those two circles of centres O1 and O2, respectively. We know,
Question : Select the most appropriate indirect form of the given sentence.
Anurag said, “The coming elections in Bihar will be the main topic of discussion for the next fortnight.”
Option 1: Anurag predicted that the coming elections in Bihar would be the main topic of discussion for the following fortnight.
Option 2: Anurag informed that the coming elections in Bihar were the main topic of discussion for the following fortnight.
Option 3: Anurag commented that the coming elections in Bihar will be the main topic of discussion for the next fortnight.
Option 4: Anurag exclaimed that the coming elections in Bihar are the main topic of discussion for the coming fortnight.
Correct Answer: Anurag predicted that the coming elections in Bihar would be the main topic of discussion for the following fortnight.
Solution : The first option is the correct answer.
Narration Conversion:
Question : Select the correct option concerning the given statement. Two tangents are drawn at the end of the diameter of a circle.
Option 1: They intersect each other.
Option 2: They pass through the origin.
Option 3: They are parallel to each other.
Option 4: They are perpendicular to each other.
Correct Answer: They are parallel to each other.
Solution : The correct option concerning the given statement is: 3. They are parallel to each other. This is because two tangents drawn at the ends of the diameter of a circle are always parallel to each other. This is a property
Question : Select the option that can be used as a one-word substitution for the given group of words.
A place to play games and bet on them.
Option 1: Motel
Option 2: Hotel
Option 3: Casino
Option 4: Pub
Correct Answer: Casino
Solution : The correct choice is the third option.
Casino is a facility or venue where various gambling games are offered, and patrons can bet on the outcomes of these games.
The meanings of the other options are as follows:
Motel: A roadside hotel designed for
Question : Directions: A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer. Question: Six people sit in two parallel rows. In Row 1 - J, K and L sit facing north, and in Row 2 - F, G and H sit facing towards south. Each person in a row faces a person in the other row. Who faces G? Statements: (I) H faces K; L faces an immediate neighbour of H. (II) G sits at one of the extreme ends of the row; J sits to the immediate left of L.
Option 1: Data in statements I and II together is sufficient to answer the question
Option 2: Data in statement II alone is sufficient to answer the question while data in statement I is not
Option 3: Data in statement I alone is sufficient to answer the question while data in statement II is not
Option 4: Data in either statement I alone or statement II alone is sufficient to answer the question
Correct Answer: Data in statements I and II together is sufficient to answer the question
Solution : Given: J, K, and L sit facing north, and F, G, and H sit facing towards south.
(I) H faces K; L faces an immediate neighbour of H. (II) G sits at one
Question : Directions: Three of the following letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?
Option 1: TVR
Option 2: DFB
Option 3: QSO
Option 4: KGI
Correct Answer: KGI
Solution : Let's check the options – First option: TVR; T + 2 = V, V – 4 = R Second option: DFB; D + 2 = F, F – 4 =B Third option: QSO; Q + 2 = S, S – 4 = O Fourth option:
Question : Directions: Select the option in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. For example -operations on 13 such as adding/subtracting/multiplying etc.13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (3, 6, 54) (4, 2, 24)
Option 1: (9, 6, 60)
Option 2: (5, 3, 30)
Option 3: (3, 4, 36)
Option 4: (2, 6, 48)
Correct Answer: (3, 4, 36)
Solution : Given: (3, 6, 54); (4, 2, 24)
The pattern is as follows – (3, 6, 54)→3 × 6 × 3 = 54 (4, 2, 24)→4 × 2 × 3 = 24 Let's check the options – First option: (9, 6, 60)→9 ×
Question : Who has been signed on as a brand ambassador of lubricant manufacturer Gulf Oil India in October 2022?
Option 1: Sonu Sood
Option 2: Rishabh Pant
Option 3: Sania Nehwal
Option 4: Smriti Mandhana
Correct Answer: Smriti Mandhana
Solution : The correct answer is Smriti Mandhana.
Gulf Oil India, a maker of lubricants, has engaged Indian cricket player Smriti Mandhana as a brand ambassador. The vice-captain of India's women's team joins former captain Mahendra Singh Dhoni and current men's cricket player Hardik Pandya
Question : Select the most appropriate synonym for the underlined word in the given sentence.
The hot sun enervated the labourer to the extent that he collapsed.
Option 1: weaken
Option 2: alleviate
Option 3: energise
Option 4: elevate
Correct Answer: weaken
Solution : The first option is the correct choice.
Enervated means drained of energy, and "weaken" means to make something or someone less strong, powerful, or effective. Thus, weaken is a synonym for enervated.
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