Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The king was moved with___ for the beggar.
Option 1: pity
Option 2: piety
Option 3: pithy
Option 4: privy
Correct Answer: pity
Solution : The correct choice is the first option.
Explanation: "Pity" is the appropriate word in this context because it conveys the idea that the king felt sympathy or compassion for the beggar's plight. The sentence describes an emotional response of empathy or compassion, which is
Question : If $x+\frac{1}{x}=-2$, then what is the value of $x^{17}+x^{-17}+x^{12}+x^{-12} ?(x<0)$
Option 1: –2
Option 2: –1
Option 3: 1
Option 4: 0
Correct Answer: 0
Solution : Given $x+\frac{1}{x}=-2$ $⇒x^2+1=-2x$ $⇒x^2+2x+1=0$ $⇒(x+1)^2=0$ $⇒x=-1$ Now, putting the value of $x=-1$ in $x^{17}+x^{-17}+x^{12}+x^{-12}$ we get: $=(-1)^{17}+(-1)^{-17}+(-1)^{12}+(-1)^{-12}$ $=-1-1+1+1=0$ Hence, the correct answer is 0.
Question : Study the following table and answer the question that follows. A school has four sections A, B, C, and D of Class IX students. The results of the Science and Mathematics examinations are shown in the following table.
Section A
What is the ratio of the number of students who failed in Science but passed in Mathematics of section B and section D together to the number of students of section A that passed in both subjects?
Option 1: 9 : 17
Option 2: 3 : 7
Option 3: 4 : 9
Option 4: 5 : 11
Correct Answer: 3 : 7
Solution : Number of students who failed in Science but passed in Mathematics of section B and section D together = 12 + 15 = 27 Number of students in section A passed in both subjects = 63 Ratio = 27 : 63 = 3
Question : If $a+b+c=5, a^3+b^3+c^3=85$, and $abc=25$, then find the value of $a^2+b^2+c^2-a b- bc - ca$.
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 2
Solution : $a+b+c=5$ Squaring both sides, ⇒ $(a+b+c)^2 = 25$ ⇒ $a^2 + b^2 + c^2 +2(ab+bc+ca) = 25 $ ⇒ $a^2 + b^2 + c^2 - ab - bc - ca + 3(ab+bc+ca) = 25$ ........(1) Now we have to find the value of $(ab +
Question : In which session of Congress was the demand of "Poorna Swaraj" accepted as the aim of the Congress?
Option 1: Calcutta
Option 2: Madras
Option 3: Nagpur
Option 4: Lahore
Correct Answer: Lahore
Solution : The correct answer is Lahore.
Purna Swaraj was established as the aim of the Indian National Congress in its Lahore Session. Jawaharlal Nehru served as the President of this session. The Indian National Congress decided to observe January 26, 1930, as Purna Swaraj Day.
Question : The Sundarban Delta is the home of which of the following animals?
Option 1: Asiatic Cheetah
Option 2: Asiatic Lions
Option 3: Royal Bengal Tiger
Option 4: Black Panther
Correct Answer: Royal Bengal Tiger
Solution : The correct answer is the Royal Bengal Tiger.
The Sundarbans mangrove forest stands as the primary and largest habitat for the Royal Bengal Tiger (Panthera tigris). It is a unique ecosystem as the only mangrove forest globally that is home to indigenous
Question : ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the $\triangle $ECD?
Option 1: $18\sqrt{3}$
Option 2: $24\sqrt{3}$
Option 3: $36\sqrt{3}$
Option 4: $42\sqrt{3}$
Correct Answer: $36\sqrt{3}$
Solution : ABCDEF is a regular hexagon that is divided into 6 equilateral triangles with a side of 12 cm. We know, Area of a regular hexagon $= 6 × \frac{\sqrt{3}}{4}$ × (side)2 = $ 6 × \frac{\sqrt{3}}{4} ×12^2=216\sqrt3$ cm2 Area of $\triangle$EOD = area
Question : Find the amount that Shyam will get on Rs. 4096 if he gives it for 18 months at $12\frac{1}{2}$ percent per annum, with interest being compounded half-yearly.
Option 1: Rs. 5813
Option 2: Rs. 4515
Option 3: Rs. 4913
Option 4: Rs. 5713
Correct Answer: Rs. 4913
Solution : Amount = $P(1+\frac{\frac{R}{2}}{100})^{2n}$ where n is the time in years, and where P is the principal, and R is the rate interest per annum compounded annually. Principal = Rs. 4096 Time = 18 months = 3 half years Rate R= $12\frac{1}{2}$ per annum% $\frac{R}{2}$⇒
Question : A man borrowed some money from a private organisation at 5% simple interest per annum. He lent this money to another person at 10% compound interest per annum and made a profit of Rs. 26,410 in 4 years, the man borrowed:
Option 1: Rs. 2,00,000
Option 2: Rs. 1,50,000
Option 3: Rs. 1,32,050
Option 4: Rs. 1,00,000
Correct Answer: Rs. 1,00,000
Solution : Simple interest for Rs. 100 for 4 years at 5% interest rate (SI) = $\frac{100\times5\times 4}{100}$ = Rs. 20 The amount accrued for Rs. 100 for 4 years at 10% compound interest = $100(1+\frac{10}{100})^4$ = Rs. 146. 41 So, the compound interest (CI) =
Question : Who among the following Mauryan rulers conquered Kalinga?
Option 1: Ashoka
Option 2: Bindusara
Option 3: Brihadratha
Option 4: Chandragupta Maurya
Correct Answer: Ashoka
Solution : The correct answer is Ashoka.
One of the biggest and deadliest battles in Indian history was the Kalinga War. According to Ashoka's edicts, Kalinga was subjugated by him following a bloody battle in his eighth regnal year (approximately 260 BCE). Following this, Ashoka committed
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