Staff Selection Commission Combined Graduate Level Exam
Question : 49 kg of blended tea contains Assam and Darjeeling teas in the ratio 5 : 2. The quantity of Darjeeling tea to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is:
Option 1: 4.5 kg
Option 2: 3.5 kg
Option 3: 5 kg
Option 4: 6 kg
Correct Answer: 3.5 kg
Solution : Given: The ratio of Assam tea to Darjeeling tea in 49 kg of a blend = 5 : 2 According to the question statement, Quantity of Assam tea = $\frac{5}{7}$ × 49 = 35 Quantity of Darjeeling tea = 49 – 35 = 14
Question : $ABC$ is a right-angled triangle with $\angle BAC=90°$ and $\angle ACB=60°$. What is the ratio of the circumradius of the triangle to the side $AB\ ?$
Option 1: $1:2$
Option 2: $1:\sqrt3$
Option 3: $2:\sqrt3$
Option 4: $2:3$
Correct Answer: $1:\sqrt3$
Solution : Given: $ABC$ is a right-angled triangle with $\angle BAC=90°$ and $\angle ACB=60°$. Let the hypotenuse $BC$ of the triangle be $2r$ units. We know, The circumradius of a right-angled triangle is half of its hypotenuse. So, the circumradius = $\frac{2r}{2}=r$ units Now, $\sin60°=\frac{AB}{BC}$ ⇒ $\frac{\sqrt3}{2}=\frac{AB}{BC}$
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The Sun is the star at the centre of (1) _________ Solar System. It is a nearly perfect ball of hot plasma. The Sun has inspired us since ancient times. It’s central to mythology and religion in (2) ____________ around the world. It keeps our planet warm enough for living things to grow. It gives us light so we can see. It is by far the most important (3) ________ of energy for life on Earth. It is about a hundred times as wide (4)_______ the Earth. If there were no sun, many things wouldn’t occur like photosynthesis or the presence of oxygen, which would have caused no (5) _________ of life.
Select the most appropriate option to fill in the blank number 2.
Option 1: cultures
Option 2: processes
Option 3: scenes
Option 4: types
Correct Answer: cultures
Solution : The correct choice is the first option.
This sentence points to the significance of the Sun, which is central to different religions across the world.
The complete sentence is: "It’s central to mythology and religion in cultures around the world."
Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error.
Bobo was / very richer than Jim / as he had illicitly accumulated / all his wealth.
Option 1: very richer than jim
Option 2: all his wealth
Option 3: as he had illicitly accumulated
Option 4: Bobo has
Correct Answer: very richer than jim
Solution : The first option is correct.
In the sentence provided, the error lies in the use of very with the comparative form of the adjective "rich". When making comparisons, adjectives like rich form their comparative and superlative degrees without the use of very
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure –
In Box 1, the three lines with the circles are facing upwards. In Box 2, the lines get reduced by one→(3 – 1) = 2, and the two lines with the circle on top are facing downwards. In Box 3, the
Question : Two men standing on the same side of a pillar, 75 metres high, observe the angles of elevation of the top of the pillar to be $30^{\circ}$ and $60^{\circ}$, respectively. The distance between the two men is:
Option 1: $100\sqrt{3}$ m
Option 2: $100$ m
Option 3: $50\sqrt{3}$ m
Option 4: $25\sqrt{3}$ m
Correct Answer: $50\sqrt{3}$ m
Solution : Let AB denote the pillar. Let C and D be the two men observing the angle of elevation of the top of the pillar as $30^{\circ}$ and $60^{\circ}$, respectively. In $\triangle$ABD, $\tan$ $60^\circ$ = $\frac{75}{BD}$ ⇒ BD = $\frac{75}{\sqrt3}$ = $25\sqrt3$ m In $\triangle$ABC,
Question : In________, Lord Curzon, the Viceroy of India, announced the partition of Bengal.
Option 1: 1907
Option 2: 1906
Option 3: 1911
Option 4: 1905
Correct Answer: 1905
Solution : The correct option is 1905.
In 1905, Lord Curzon, the Viceroy of India, announced the partition of Bengal. This decision sparked widespread protests and opposition from various sections of society and eventually led to the annulment of the partition in 1911. The events surrounding the
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Dialect, Language, Communication
Solution : Dialect is a form of language and Language is the means of communication. So, Dialect comes under language and language comes under communication. Therefore, the Venn diagram is –
Hence, the third option is correct.
Question : The average of all prime numbers between 32 and 69 is:
Option 1: 52.5
Option 2: 60
Option 3: 51
Option 4: 56.5
Correct Answer: 51
Solution : Prime numbers between 32 and 69 are 37, 41, 43, 47, 53, 59, 61 and 67. The sum of prime numbers between 32 and 69 = (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67) = 408 Their average
Question : Identify the element one that does not belong to Group 1 of the Modern Periodic Table.
Option 1: Sodium
Option 2: Lithium
Option 3: Hydrogen
Option 4: Rubidium
Correct Answer: Hydrogen
Solution : The correct option is Hydrogen.
Hydrogen is not placed in Group 1 of the Modern Periodic Table. In the Modern Periodic Table, Group 1 elements are known as alkali metals, which include elements like lithium (Li), sodium (Na), potassium (K), and so on. These elements
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