Staff Selection Commission Combined Higher Secondary Level Exam
Question : The least number that should be subtracted from the number 32146 to make it a perfect square is:
Option 1: 305
Option 2: 105
Option 3: 205
Option 4: 405
Correct Answer: 105
Solution : Since, 179 × 179 = 32041 So, $\sqrt{32146}$ > 179. The number that must be subtracted to make it a perfect square is (32146 – 32041) = 105 Hence, the correct answer is 105.
Question : GNP at MP less ___________ gives us GDP at MP.
Option 1: depreciation
Option 2: indirect taxes
Option 3: Net Factor Income from Abroad
Option 4: subsidies
Correct Answer: Net Factor Income from Abroad
Solution : The correct answer is Net Factor Income from Abroad.
The equation is GDPMP = GNPMP − Net Factor Income from Abroad (NFIA).
In the context of national income accounting, subtracting Net Factor Income from Abroad from Gross
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: 1. All men are prisoners. 2. No prisoners are educated. Conclusions: I. All prisoners are educated. II. No men are educated.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither I nor II follows
Option 4: Both conclusion I and conclusion II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All prisoners are educated – From the Venn diagram, we can see that none of the prisoners are educated as there is
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
My wife, having finish her work, (1) / rushed to meet me (2) / at the event. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The first option is the correct choice.
Explanation: The third form of a verb is used after "having". Here, the past participle form of the verb "finish" is "finished" as per the present perfect tense.
Therefore, the correct sentence is: My wife, having finished
Question : Directions: Four triads of numbers have been given out of which three are alike in some manner and one is different. Select a different one. (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. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 14 – 44 – 29
Option 2: 36 – 66 – 51
Option 3: 29 – 44 – 14
Option 4: 21 – 51 – 36
Correct Answer: 29 – 44 – 14
Solution : Let's check each option – First option: (14 – 44 – 29); (14 + 44) ÷ 2 = 58 ÷ 2 = 29 Second option: (36 – 66 – 51); (36 + 66) ÷ 2 = 102 ÷ 2 = 51
Question : The following sentence has been split into four segments. Identify the segment that contains a spelling error. According to a report / every day / thousands of animals / are slautered.
Option 1: thousands of animals
Option 2: are slautered
Option 3: every day
Option 4: According to a report
Correct Answer: are slautered
Solution : The correct choice is the second option.
Explanation: The incorrectly spelt word is "slautered". The correct spelling is "slaughtered". The misspelling in the given segment is a typographical error, and the correct spelling of the word is needed to maintain proper
Question : Who was the first Indian woman to win an Olympic medal?
Option 1: Neelamshetty Appanna
Option 2: Karnam Malleswari
Option 3: Saina Nehwal
Option 4: Sakshi Malik
Correct Answer: Karnam Malleswari
Solution : The correct option is Karnam Malleswari
The first Indian woman to win an Olympic medal was Karnam Malleswari. She won a bronze medal in weightlifting at the Sydney Olympics in 2000 in the 69 kg category.
Question : If $\sqrt x-\sqrt y=1$ , $\sqrt x+\sqrt y=17$, then $\sqrt {xy}=?$
Option 1: $\sqrt{72}$
Option 2: $72$
Option 3: $32$
Option 4: $24$
Correct Answer: $72$
Solution : $\sqrt{x}-\sqrt{y} = 1$------(1) ⇒ $\sqrt{x} =1 +\sqrt{y}$ Inserting the value of $\sqrt{x}$ in the other equation, we get, $\sqrt{x} +\sqrt{y} = 17$ ⇒ $1+\sqrt{y} +\sqrt{y} = 17$ ⇒ $2\sqrt{y} = 16$ ⇒ $\sqrt{y} = 8$ Putting the value of $\sqrt{y} = 8$ in equation (1),
Question : On dividing a number by 38, we get 90 as the quotient and 19 as the remainder. What is the number?
Option 1: 3401
Option 2: 3382
Option 3: 3458
Option 4: 3439
Correct Answer: 3439
Solution : Given: Divisor = 38, Quotient = 90 and Remainder = 19 We know, Dividend = (Divisor × Quotient) + Remainder = (38 × 90) + 19 = 3420 + 19 = 3439 Hence, the correct answer is 3439.
Question : If $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ and $a-b=10$, then the value of $ab$ is:
Option 1: $32 \frac{1}{7}$
Option 2: $32 \frac{3}{7}$
Option 3: $32 \frac{4}{7}$
Option 4: $32 \frac{2}{7}$
Correct Answer: $32 \frac{1}{7}$
Solution : Given: $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ ⇒ $\sqrt\frac{a}{b} + \sqrt\frac{b}{a} = \frac{8}{3}$ Squaring both sides, we have, ⇒ $\frac{a}{b}+\frac{b}{a}+2=\frac{64}{9}$ ⇒ $\frac{a^2 + b^2}{ab} = \frac{64-18}{9}$ ⇒ $a^2 + b^2 = \frac{46ab}{9}$ Now, $a-b=10$ Squaring both sides, ⇒ $a^2 + b^2 - 2ab = 100$ ⇒ $\frac{46ab}{9} - 2ab
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