Staff Selection Commission Combined Higher Secondary Level Exam
Question : Niyamgiri Hills is located in the Kalahandi district of which of the following state?
Option 1: Odisha
Option 2: West Bengal
Option 3: Punjab
Option 4: Kerala
Correct Answer: Odisha
Solution : The correct answer is Odisha.
In the Odisha districts of Rayagada and Kalahandi sit the heavily forested Niyamgiri Hills. It is home to the Dongria Kondh tribal community and is sacred to them. The Niyamgiri Hills are rich in bauxite ore, but the local tribal
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Sudden changes in the gilts market are (1)______, but when they do happen they can cause (2)_______ problems for certain types of pension schemes, such as UK pension savers (3)_______ recently. In addition to raising borrowing costs for the government, the market mayhem following September’s mini-budget (4)______ many pension providers to quickly cash in some of their holdings to try to weather the (5)_____.
Select the most appropriate option to fill in the blank number 2.
Option 1: untidy
Option 2: major
Option 3: scanty
Option 4: bulky
Correct Answer: major
Solution : The correct choice is the second option.
Major fits the context, indicating that significant or substantial changes in the gilts market are infrequent but impactful.
Question : In a 1 km race P completes the race in 120 seconds and Q in 125 seconds. The distance by which P beats Q is:
Option 1: 40 metres
Option 2: 80 metres
Option 3: 20 metres
Option 4: 60 metres
Correct Answer: 40 metres
Solution : Speed of P = $\frac{1 \;km}{120\;sec}$ = $\frac{1000}{120}$ m/s = 8.33 m/s Speed of Q = $\frac{1 \;km}{125 \;sec}$ = $\frac{1000}{125}$ m/s = 8 m/s Distance covered by Q in 120 seconds = 8 × 120 = 960 P beat Q by (1000 –
Question : Penicillin is extracted from____.
Option 1: yeast
Option 2: algae
Option 3: fungus
Option 4: lichen
Correct Answer: fungus
Solution : The correct option is fungus.
The fungus Penicillium notatum or Penicillium chrysogenum can be used to produce penicillin, an antibiotic. Penicillin is an antibiotic that prevents pathogenic bacteria from forming cell walls, preventing the growth of harmful bacteria in the process. Eukaryotic organism, which includes
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 512
Option 2: 841
Option 3: 576
Option 4: 289
Correct Answer: 512
Solution : Let's check the options – First option: 512; 512 is not a perfect square of any natural number. Second option: 841; 841 is the perfect square of 29. Third option: 576; 576 is the perfect square of 24. Fourth option: 289; 289 is the perfect
Question : If $y+\frac{1}{y}=3$, then what is the value of $\frac{1}{y^3}+y^3 ?$
Option 1: 12
Option 2: 27
Option 3: 24
Option 4: 18
Correct Answer: 18
Solution : Use: Use the following formula to solve the question: $(y+\frac{1}{y})^3=y^3+\frac{1}{y^3}+3(y+\frac{1}{y})$ ⇒ $y^3+\frac{1}{y^3}=(y+\frac{1}{y})^3-3(y+\frac{1}{y})$ ⇒ $y^3+\frac{1}{y^3}=3^3-3×3$ ⇒ $\frac{1}{y^3}+y^3 = 18$ Hence, the correct answer is 18.
Question : An article is sold at a gain of 15%. Had it been sold for Rs. 27 more, the profit would have been 20%. The cost price of the article is:
Option 1: Rs. 500
Option 2: Rs. 700
Option 3: Rs. 540
Option 4: Rs. 545
Correct Answer: Rs. 540
Solution : Let the cost price of the article be $x$. An article is sold at a gain of 15%. So, selling price of the article = $\frac{115}{100}×x$ Had it been sold for Rs. 27 more, then the selling price would be, $\frac{115}{100}×x+27$ If the profit
Question : Which National Waterway runs from Haldia to Prayagraj?
Option 1: National Waterway 2
Option 2: National Waterway 1
Option 3: National Waterway 3
Option 4: National Waterway 4
Correct Answer: National Waterway 1
Solution : The correct answer is National Waterway 1.
In 1986, the river system comprising the Ganga, Bhagirathi, and Hooghly between Haldia (Sagar) and Prayagraj was designated as a National Waterway-1 (NW-1). With a length of 1620 km, National Waterway 1 is the longest
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error."
Kalidas is (1) / a Shakespeare (2) / of India. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
Explanation: The article "a" should be replaced with "the" in the sentence, after the noun, that is, Shakespeare, a well-known personality in English literature. So, the definite article "the" should be used here to
Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, and $x>1$, what is the value of $\left(x^6-\frac{1}{x^6}\right) ?$
Option 1: $22970 \sqrt{23}$
Option 2: $23030 \sqrt{23}$
Option 3: $23060 \sqrt{23}$
Option 4: $22960 \sqrt{23}$
Correct Answer: $23030 \sqrt{23}$
Solution : Given, $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$ Squaring both sides, we get, $\left(x+\frac{1}{x}\right)^2=(5 \sqrt{2})^2$ ⇒ $x^2+\frac{1}{x^2}+2\times x\times \frac{1}{x}=25\times 2$ ⇒ $x^2+\frac{1}{x^2}+2=50$ ⇒ $x^2+\frac{1}{x^2}=50-2$ ⇒ $x^2+\frac{1}{x^2}=48$ Subtracting 2 from both sides, we get, ⇒ $(x-\frac{1}{x})^2=48-2$ ⇒ $(x-\frac{1}{x})^2=46$ ⇒ $(x-\frac{1}{x})=\sqrt{46}$ Now consider, $\left(x^6-\frac{1}{x^6}\right)$ We know, $a^2-b^2=(a-b)(a+b)$ $=(x^3+\frac{1}{x^3})(x^3-\frac{1}{x^3})$ Also, $a^3+b^3=(a+b)(a^2-ab+b^2)$ and
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