Staff Selection Commission Combined Graduate Level Exam
Question : The marked price of an article is 40% above its cost price. If its selling price is $73 \frac{1}{2} \%$ of the marked price, then the percentage profit is:
Option 1: 2.9%
Option 2: 2.7%
Option 3: 2.6%
Option 4: 2.5%
Correct Answer: 2.9%
Solution : Let the cost price of the article be $100$. Then marked price of the article is $(100 + 40) = 140$ Selling price is $73 \frac{1}{2}\%$ of the marked price = $\frac{147}2\%$ of the marked price = ${140 × (\frac{147}2)}\times \frac{1}{100}$ = $ \frac{(140 ×
Question : Bridgmanite is
Option 1: A bridge on the River Thames
Option 2: Name of the game
Option 3: Earth's most abundant mineral
Option 4: Name of the music
Correct Answer: Earth's most abundant mineral
Solution : The correct option is Earth's most abundant mineral.
Bridgmanite, also known as silicate perovskite, is a vital mineral found in the lower mantle of the Earth. It is named after Percy Bridgman, an American scientist who won the Nobel Prize in
Question : The following formula is used to calculate which of the following? $\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{Diameter}$
Option 1: Length of a sector
Option 2: Area of an arc
Option 3: The radius of a circle
Option 4: Length of an arc
Correct Answer: Length of an arc
Solution : The circumference of a circle = $2\pi r$ So, the length of an arc $=\frac{\text{Angle of arc at centre}(\theta)}{360°}×2\pi r$ $=\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{diameter}$ Hence, the correct answer is 'Length of an arc'.
Question : If $x^{3}+\frac{1}{x^{3}}=110$, then find the value of $x+\frac{1}{x}$:
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 5
Solution : Given: $x^{3}+\frac{1}{x^{3}}=110$ By using the algebraic identity, $x^{3}+\frac{1}{x^{3}}=(x+\frac{1}{x})^3–3×x×\frac{1}{x}(x+\frac{1}{x})$ ⇒ $110 = (x+\frac{1}{x})^3–3(x+\frac{1}{x})$ Now, putting the value of $(x+\frac{1}{x})=y$ ⇒ $110 = y^3–3y$ By using trial and error, putting y = 5, we get ⇒ $110 = 5^3–3×5$ ⇒ $110 = 125–15$ $110 =110$ Thus, $(x+\frac{1}{x})=5$
Question : Find the greatest number that will divide 390, 495, and 300 without leaving a remainder.
Option 1: 5
Option 2: 15
Option 3: 25
Option 4: 35
Correct Answer: 15
Solution : HCF of the given numbers: 390 = (2 × 3 × 5 × 13) 495 = (3× 3 × 5 × 11) 300 = (2 × 2 × 3 × 5 × 5) Now HCF = (3 × 5) = 15 So, 15 is the
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
All state universities and colleges in Uttar Pradesh, one of the (1)________ in India, will now (2)______ a "save water" ritual named 'Jal Bharo' in place of 'lamp lighting' to inaugurate their annual convocations. The governor of the state, who is also chancellor of state universities, instructed that every university and college in the state should install rainwater harvesting plants on its campus. 'Jal Bharo' signifies (3)_______ the vision of 'Jal Shakti'. This ceremony symbolises the (4)________ importance of water conservation, whereas the lamp lighting ceremony symbolised removing darkness through education and spreading the light of learning. It is really a (5)________ initiative. Every educational institute in India should ensure to save and recharge groundwater by installing rainwater harvesting plants. These kinds of initiatives provide awareness of using and saving water, the elixir of life.
Question: Select the most appropriate option to fill in blank no. 5.
Option 1: laudable
Option 2: louder
Option 3: labelled
Option 4: lower
Correct Answer: laudable
Solution : The correct choice is the first option.
Laudable means deserving praise and commendation. The initiative by the colleges should be praised.
The meanings of the other options are as follows:
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Indian women (1) / are good (2) / in cooking. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
In should be replaced with at to convey the intended meaning that Indian women excel in the skill of cooking.
There is an error in the use of the preposition in the sentence. "Good at" emphasises proficiency when
Question : Select the most appropriate synonym of the given word from the sentence. Dangerous The traffic police have released a safe advisory that driving without seat belts is risky, beneficial, and fearful for human life.
Option 1: Risky
Option 2: Beneficial
Option 3: Safe
Option 4: Released
Correct Answer: Risky
Solution : The first option is the correct choice.
Dangerous means likely to cause harm or injury. Risky refers to a high degree of potential danger and being likely to cause harm.
Question : Which of the following revolts was led by Kanhu and Sidhu?
Option 1: Bhils Revolt
Option 2: Khasi Revolt
Option 3: Munda Revolt
Option 4: Santhal Revolt
Correct Answer: Santhal Revolt
Solution : The correct answer is the Santhal Revolt.
Sidhu Murmu and Kanhu Murmu led the Santhal uprising (1855–1856) in present-day Jharkhand, and Bengal in eastern India against both British colonial authority and the corrupt zamindari system.
The Santhals were woodland dwellers who relied on
Question : A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately:
Option 1: 10.4 km/hr
Option 2: 10.8 km/hr
Option 3: 11.0 km/hr
Option 4: 12.2 km/hr
Correct Answer: 10.8 km/hr
Solution : Average speed = $\frac{total \;distance}{total \;time}$ Average speed = $\frac{10+12}{\frac{10}{12}+ \frac{12}{10}} = \frac{22}{244}\times 120 $ = 10.8 km/hr Hence, the correct answer is 10.8 km/hr.
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