Staff Selection Commission Combined Graduate Level Exam
Question : Short-term contractions and expansions in economic activity are called ____________.
Option 1: expansions
Option 2: recessions
Option 3: deficits
Option 4: business cycle
Correct Answer: business cycle
Solution : The correct answer is a business cycle.
The business cycle refers to the short-term contractions and expansions of economic activity. The business cycle is a cyclical pattern of economic expansion and contraction. It is distinguished by intervals of growth and contraction.
Question : In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If $\angle XBC=82°$ and $\angle ADB=47°$, then the value of $\angle BDC$ is:
Option 1: 40°
Option 2: 35°
Option 3: 30°
Option 4: 25°
Correct Answer: 35°
Solution : Given: In a cyclic quadrilateral ABCD, $\angle XBC=82°$ and $\angle ADB=47°$. A cyclic quadrilateral's exterior angle is equal to its opposite interior angle. So, $\angle XBC= \angle ADC=82°$. Also, $\angle ADB=47°$ ⇒ $\angle BDC=82°-47°$ ⇒ $\angle BDC=35°$ Hence, the correct answer is 35°.
Question : A man wills 40% of his wealth to his wife and the rest to his children. What percentage of the wealth willed to the wife do the children get?
Option 1: 150
Option 2: 66.6
Option 3: 50
Option 4: 20
Correct Answer: 150
Solution : Let the total wealth be $x$. The man wills 40% of his wealth to the wife = 40% of $x$ = 0.4$x$ Wealth for the children = $x$ – 0.4$x$ = 0.6$x$ So, the required percentage $=\frac{\text{wealth for children}}{\text{wealth to the wife}} × 100 =
Question : The fourth proportion of the numbers 8, 12, and 14 is:
Option 1: 15
Option 2: 18
Option 3: 24
Option 4: 21
Correct Answer: 21
Solution : Given: The numbers are 8, 12, and 14. Let the fourth proportion be $x$. So, $8:12::14:x$ ⇒ $\frac{8}{12} = \frac{14}{x}$ ⇒ $x = \frac{14 \times 12}{8}=21$ Hence, the correct answer is 21.
Question : Select the option that can be used as a one-word substitute for the given group of words. Never changing, and therefore boring.
Option 1: Outdated
Option 2: Impractical
Option 3: Idealistic
Option 4: Monotonous
Correct Answer: Monotonous
Solution : The correct choice is the fourth option.
Monotonous means lacking in variety and interest, being repetitive and dull, which precisely describes the concept of never changing and being boring.
The meanings of other options are as follows:
Outdated: This term refers to something
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Two of the biggest corporate firms in the world are Apple and IBM (which both are) in the computer business.
(1) which are both
(2) both of which are
(3) which are
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
Explanation:
"Both of which are" is the most appropriate choice for the context, providing a clear and idiomatic way to express the idea that both Apple and IBM are in the computer business.
So, the correct sentence would
Question : A train 180 m long moving at a speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
Option 1: 6 sec
Option 2: 9 sec
Option 3: 18 sec
Option 4: 27 sec
Correct Answer: 18 sec
Solution : Distance = length of train = 180 m Speed of train = 20 m/s Speed of main = 10 m/s The direction of both the train and the man is the same. So, relative speed = 20 - 10 = 10 m/s Required time
Question : $\triangle \mathrm{ABC} \sim \triangle \mathrm{DEF}$ and the perimeters of these triangles are 32 cm and 12 cm, respectively. If $\mathrm{DE}=6 \mathrm{~cm}$, then what will be the length of AB?
Option 1: 16 cm
Option 2: 14 cm
Option 3: 12 cm
Option 4: 18 cm
Correct Answer: 16 cm
Solution : If two triangles are similar, then their perimeters are directly proportional to the length of their corresponding sides. So, $\frac{\text{Perimeter of $\triangle$ABC}}{\text{Perimeter of $\triangle$ABC}}= \frac{AB}{DE} = \frac{32}{12}$ ⇒ $AB = \frac{32}{12}\times 6$ ⇒ $AB = 16\ \mathrm{cm}$ Hence, the correct answer is 16 cm.
Question : If $a+\frac{1}{a-2}=4$, then the value of $(a-2)^{2}+(\frac{1}{a-2})^{2}$ is:
Option 1: 0
Option 2: 2
Option 3: –2
Option 4: 4
Correct Answer: 2
Solution : Given: $a+\frac{1}{a-2}=4$ Subtracting 2 from both sides, ⇒ $a-2+\frac{1}{a-2}=2$ Squaring both sides, ⇒ $( a-2)^2+\frac{1}{( a-2)^2} + 2=2^2$ ⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2^2-2$ ⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2$ Hence, the correct answer is 2.
Question : The Rourkela steel plant was set up in collaboration with Germany in which the state of India?
Option 1: Jharkhand
Option 2: Bihar
Option 3: Assam
Option 4: Odisha
Correct Answer: Odisha
Solution : The correct option is Odisha.
One of India's biggest steel production sites is the Rourkela Steel Plant. It is located in the city of Rourkela in the Sundargarh district of Odisha. One of India's earliest integrated steel factories, the Rourkela Steel Plant was founded in
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