Staff Selection Commission Combined Graduate Level Exam
Question : If $\frac{b}{a}=0.7$, find the value of $\frac{a–b}{a+b}+\frac{11}{34}$.
Option 1: 0.2
Option 2: 1
Option 3: 0.5
Option 4: 0.3
Correct Answer: 0.5
Solution : Given: The value of the ratio $\frac{b}{a}=0.7$. The value of the expression $\frac{a–b}{a+b}+\frac{11}{34}$ is given as, $=\frac{1–\frac{b}{a}}{1+\frac{b}{a}}+\frac{11}{34}$ Substitute the value of $\frac{b}{a}=0.7$ in the above expression, $=\frac{1–0.7}{1+0.7}+\frac{11}{34}$ $=\frac{0.3}{1.7}+\frac{11}{34}$ $=0.17+0.33=0.5$ Hence, the correct answer is 0.5.
Question : Who is the Chief Minister of Tamilnadu ?
Option 1: Smt Jayalalitha
Option 2: M. K. Karunanidhi
Option 3: M. K. Stalin
Option 4: Kalanidhi Maran
Correct Answer: M. K. Stalin
Solution : The correct option is - M. K. Stalin
Indian politician M. K. Stalin is the eighth and current Chief Minister of Tamil Nadu. On May 7, 2021, he took his oath to serve as Chief Minister. He had been the first Deputy Chief
Question : The following pie chart shows the number of workers of different categories A, B, C, D, E, F, G and H in a factory in 1995. What is the central angle (angular value) for category B of the pie chart?
Option 1: 55°
Option 2: 54°
Option 3: 57°
Option 4: 56°
Correct Answer: 54°
Solution : Given percentage of B = 15% The central angle will be 15% of the 360° $= \frac{15}{100}\times 360° = 54°$ Hence, the correct answer is 54°.
Question : Direction: In the following question,one statement is given followed by two Conclusions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can be definitely be drawn from the given statement.
Statement : Aggressive animals can be trained with care and affection to behave as the occasion demands.
Conclusions :
I. Trained dogs cannot be aggressive.
II. Animals are always aggressive unless care and affection is given to them.
Option 1: Both I and II follows.
Option 2: Only I follows.
Option 3: Only II follows.
Option 4: Neither I nor II follows.
Correct Answer: Both I and II follows.
Solution : Conclusion I: Trained dogs cannot be aggressive. From the given statement, it can be said that if dogs are trained they won't be aggressive.
Conclusion II: Animals are always aggressive unless care and affection is given to them. From the given
Question : The sum of the first 20 term of the series $\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+....$ is:
Option 1: 0.16
Option 2: 1.6
Option 3: 16
Option 4: 0.016
Correct Answer: 0.16
Solution : Given: The sum of the first 20 terms of the series $\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+....$ So, $a_{1} =5$ and $a_{20} =5+(20-1)×1=24$ 20th term $=\frac{1}{24×25}$ $=\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+.... + \frac{1}{24×25}$ $=\frac{1}{5}-\frac{1}{6} + \frac {1}{6} - \frac{1}{7}+\frac{1}{7}-\frac{1}{8}+..............+\frac{1}{24}-\frac{1}{25}$ $=\frac{1}{5}-\frac{1}{25}$ $=\frac{4}{25}$ $= 0.16$ Hence, the correct answer is 0.16.
Question : ______________ is a by product of sewage treatment and can be decomposed to produce biogas.
Option 1: Sewage
Option 2: Sludge
Option 3: Sewer
Option 4: Scum
Correct Answer: Sludge
Solution : The correct option is Sludge.
Sludge is a byproduct of sewage treatment that may be degraded to generate biogas through a biological process known as anaerobic digestion. Anaerobic digestion is the breakdown of organic materials by microbes in the absence of oxygen. In the case
Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.
Option 1: 8
Option 2: 12
Option 3: 10
Option 4: 14
Correct Answer: 10
Solution : Given: If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$. A polygon with $n$ sides has an interior angle sum of $(n – 2)×180^\circ$. According to the question, $(n – 2)×180^\circ=1440^\circ$ ⇒ $n–2=8$ ⇒ $n=10$ Hence, the correct
Question : Directions: Select the figure from the options that can replace the question mark (?) and complete the given pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : Match the following:
A. Mohenjo-daro 1. Statue of a priest
B. Harappa 2. Port
C. Kalibangan 3. Plough marks
D. Lothal 4.The Great Bath
Option 1: A - 4, B - 1, C - 3, D - 2
Option 2: A - 3, B - 2, C - 4, D - 1
Option 3: A - 2, B - 3, C - 1, D - 4
Option 4: A - 1, B - 4, C - 2, D - 3
Correct Answer: A - 4, B - 1, C - 3, D - 2
Solution : The correct answer is - A - 4, B - 1, C - 3, D - 2
The Indus Valley civilisation is one of the oldest civilisations in the world, and it matured between
Question : A shopkeeper sells an article at $13 \frac{1}{2}\%$ loss. If he sells it for INR 1,274 more, then he gains $11\%$. What is the cost price of the article?
Option 1: INR 4,874
Option 2: INR 4,800
Option 3: INR 5,200
Option 4: INR 5,274
Correct Answer: INR 5,200
Solution : Let the cost price be INR $x$. Selling price at a $13 \frac{1}{2}\%$ loss $=(\frac{100-\frac{27}{2}}{100})x=\frac{173x}{200}$ According to the question, $\frac{173x}{200}+1274=\frac{100+11}{100}x$ $⇒\frac{111x}{100}-\frac{173x}{200}=1274$ $⇒\frac{49x}{200}=1274$ $\therefore x =5200$ Hence, the correct answer is INR 5,200.
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