Staff Selection Commission Sub Inspector Exam
Question : Which state was formed after the amendment of articles 239A and 240?
Option 1: Arunachal Pradesh
Option 2: Uttarakhand
Option 3: Sikkim
Option 4: Chhattisgarh
Correct Answer: Arunachal Pradesh
Solution : The correct option is Arunachal Pradesh.
Arunachal Pradesh was created by the State of Arunachal Pradesh Act, 1986, after an amendment in Articles 239(A) and 240. As a result of these reforms, Arunachal Pradesh, which was first established as a Union Territory, became a
Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some mobiles are tablets. All tablets are laptops. Conclusions: I. Some laptops are mobiles. II. Some mobiles are laptops. III. All mobiles are laptops.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Some laptops are mobiles – From the Venn diagram, it is evident that the circles representing laptops and mobiles overlap
Question : Which of the following Indian states does not share an international land border?
Option 1: Jammu and Kashmir
Option 2: Uttar Pradesh
Option 3: Bihar
Option 4: Madhya Pradesh
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh.
Madhya Pradesh is a landlocked state in India, it does not share any international boundary. The bordering states of Madhya Pradesh are Uttar Pradesh, Chhattisgarh, Gujarat, Maharashtra, and Rajasthan. Madhya Pradesh was formed on 1 November 1956
Question : Two numbers are in the ratio 7 : 11. If their HCF is 28, then the sum of the two numbers is:
Option 1: 504
Option 2: 196
Option 3: 308
Option 4: 112
Correct Answer: 504
Solution : If two numbers are in the ratio 7 : 11, then the numbers as $7x$ and $11x$, where $x$ is a common factor. Given that their highest common factor (HCF) is 28. Such that $x = 28$. So, the two numbers are 7 × 28
Question : Directions: In a certain code language, go there is written as na pa, we and they is written as sa ha ta, and go and come is written as pa ha la. How is there written in that code language?
Option 1: pa
Option 2: ha
Option 3: na
Option 4: la
Correct Answer: na
Solution : Given: go there→na pa; we and they→sa ha ta; go and come→pa ha la
By comparing all the coded sentences – go→pa; and→ha; there→na; we→sa/ta; they→sa/ta; come→la
Thus, there is coded as na. Hence, the third option is correct.
Question : Directions: Select the correct mirror image of the given figure, when the mirror is placed at line MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on Line MN). So, the left side of the reflected image will appear
Question : A and B started a business investing amounts of INR 92,500 and INR 1,12,500, respectively. If B's share in the profit earned by them is INR 9,000, what is the total profit (in INR) earned by them together?
Option 1: 20,000
Option 2: 16,400
Option 3: 19,000
Option 4: 21,240
Correct Answer: 16,400
Solution : Profit is divided by the ratio of investment. According to the question Ratio of profit = 92500 : 112500 = 37 : 45 Let the total profit be INR $x$. Share of B = $\frac{45}{45 + 37} × x$ ⇒ $9000=\frac{45}{82} × x$ $ \therefore
Question : Which of the following Articles of the Constitution of India provides that the Governor appoints the Chief Minister, and later, the Chief Minister recommends the appointment of ministers to the Governor?
Option 1: Article 167
Option 2: Article 165
Option 3: Article 164
Option 4: Article 163
Correct Answer: Article 164
Solution : The correct answer is Article 164.
According to Article 164, the Chief Minister is appointed by the governor, who also appoints other ministers on the Chief Minister's recommendation. Ministers serve at the governor's discretion, and the Council of Ministers is collectively accountable to
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – 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.) (17, 29, 46) (24, 36, 60)
Option 1: (36, 46, 81)
Option 2: (29, 41, 64)
Option 3: (21, 33, 54)
Option 4: (48, 52, 98)
Correct Answer: (21, 33, 54)
Solution : Given: (17, 29, 46); (24, 36, 60)
Here, (17, 29, 46)→17 + 29 = 46 (24, 36, 60)→24 + 36 = 60
Let's check the options – First option: (36, 46, 81)→36 + 46 = 82 ≠ 81 Second option: (29, 41, 64)→29
Question : If $x=(\sqrt[3]{7})^{3}+3$, then the value of $x^3–9x^2+27x–34$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –1
Correct Answer: 0
Solution : Given: $(x–3)^{3}=(\sqrt[3]{7})^{3}$ $x^{3}–27–3(3x)(x–3) = 7$ $x^{3}–27–9x^{2}+27x = 7$ Subtracting 7 on both sides, we get, $x^{3}–27–9x^{2}+27x–7= 7–7$ $x^{3}–9x^{2}+27x–34 = 0$ Hence, the correct answer is 0.
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