Staff Selection Commission Combined Graduate Level Exam
Question : Which one of the following animals is called farmer's friend?
Option 1: Ant
Option 2: Earthworm
Option 3: Bee
Option 4: Fungi
Correct Answer: Earthworm
Solution : The correct option is Earthworm
The animal often referred to as the "farmer's friend" is the earthworm (earthworms belong to the class Oligochaeta). Earthworms are considered beneficial to farmers because they play a crucial role in improving soil quality and fertility. They burrow through the
Question : Identify the single letter, which when removed from the following words form new words.
MINK, LAMP, TEAM, WARM
Option 1: R
Option 2: A
Option 3: L
Option 4: M
Correct Answer: M
Solution : Given: MINK, LAMP, TEAM, WARM
Here,
If we remove M from all the words, then the new words will be:
INK- Ink is a colored liquid used for writing or printing.
LAP- Lap refers to the flat area formed by the top of your thighs
Question : The orthocentre of a triangle is the point where:
Option 1: the medians meet
Option 2: the altitudes meet
Option 3: the right bisectors of the sides meet
Option 4: the bisectors of the angles meet
Correct Answer: the altitudes meet
Solution : An orthocentre is a point where the altitudes meet. Hence, the correct answer is 'the altitudes meet'.
Question : The average mark obtained by Saloni in four papers was 51, and in the fifth paper, she got 56 marks. Find her new average in all five papers.
Option 1: 51
Option 2: 52
Option 3: 49
Option 4: 50
Correct Answer: 52
Solution : The average mark obtained by Saloni in four papers was 51. Total marks in 4 papers = 51 × 4 = 204 In the fifth paper, she got 56 marks. New average = $\frac{\text{Total marks in 5 papers}}{\text{Total papers}}=\frac{204+56}{5}=52$ Hence, the correct answer is 52.
Question : If $P =\frac{96}{95\times97}, Q = \frac{97}{96\times98}$ and $R = \frac{1}{97}$, then which of the following is true?
Option 1: $P < Q < R $
Option 2: $R < Q < P $
Option 3: $Q < P < R $
Option 4: $R < P < Q $
Correct Answer: $R < Q < P $
Solution : $P = \frac{96}{95 \times 97} = \frac{1}{95} \times \frac{96}{97}$ $Q = \frac{97}{96 \times 98} = \frac{1}{96} \times \frac{97}{98}$ $R = \frac{1}{97}$ Comparing $P$ and $R$, $\frac{1}{95}\times\frac{96}{97} > \frac{1}{97}⇒P > R$. Comparing $P$ and $Q$, $\frac{1}{95}\times\frac{96}{97} > \frac{1}{96}\times \frac{97}{98}⇒P > Q$.
Question : The cost price of an article is Rs. $x$. It is marked up by 200%. It is sold at Rs. 540 after giving a 25% discount. What is the value of $x$ (in Rs.)?
Option 1: 360
Option 2: 250
Option 3: 300
Option 4: 240
Correct Answer: 240
Solution : The cost price of an article is Rs. $x$. Since the article is marked up by 200%, the marked price = Rs. $3x$ After giving a 25% discount, it is sold at Rs. 540. So, $3x\times 0.75 = 540$ ⇒ $x = 240$ So, the
Question : In $\triangle$ABC, $\angle$A = 90°, AD$\perp$BC and AD = BD = 2 cm. The length of CD is:
Option 1: 3 cm
Option 2: 3.5 cm
Option 3: 3.2 cm
Option 4: 2 cm
Correct Answer: 2 cm
Solution : Given: AD = BD = 2 cm $\angle$A = 90° AD is perpendicular to BC. In $\triangle$ABC right angled at A, a perpendicular AD is drawn at BC then AD2 = BD × CD ∴ 22 = 2 × CD ⇒ CD
Question : Select the option that can be used as a one-word substitute for the given group of words.
No longer in use
Option 1: Obscure
Option 2: Oriental
Option 3: Original
Option 4: Obsolete
Correct Answer: Obsolete
Solution : The correct choice is the fourth option.
Obsolete means something that is no longer in use, or no longer considered relevant or functional due to newer developments or advancements, making it the correct one-word substitute for no longer in use.
The meanings of the
Question : What happens to the decomposition rate when detritus is rich in lignin and chitin?
Option 1: It is negligible.
Option 2: It is faster.
Option 3: There is no movement.
Option 4: It is slower.
Correct Answer: It is slower.
Solution : The correct answer is it is slower.
When detritus is rich in lignin and chitin, the decomposition rate typically slows down. The presence of lignin and chitin in detritus acts as a barrier to decomposition. It slows down the breakdown of organic
Question : Simplify: ${\frac{x^4-2 x^2+1}{x^2-2 x+1}}$
Option 1: $x^2-2 x+1$
Option 2: $x^2+2 x+2$
Option 3: $x^2+2 x+1$
Option 4: $x^2+x+1$
Correct Answer: $x^2+2 x+1$
Solution : ${\frac{x^4-2 x^2+1}{x^2-2 x+1}}$ . $= \frac{(x^2-1)^2}{(x-1)^2}$ $=\frac{(x+1)^2(x-1)^2}{(x-1)^2}$ $= (x+1)^2$ $= x^2+2x + 1$ Hence, the correct answer is $ x^2+2x +1$.
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