Staff Selection Commission Combined Graduate Level Exam
Question : If $\left({x}+\frac{1}{x}\right)=2$, then ${x}^7+\frac{1}{x^{117}}=$___________.
Option 1: 1
Option 2: 2
Option 3: 4
Option 4: 3
Correct Answer: 2
Solution : Given: That $\left({x}+\frac{1}{x}\right)=2$, $⇒ \frac{x^2+1}{x}=2$ $⇒ x^2-2x+1= 0$ $⇒ (x-1)^2=0$ $⇒ x = 1$ Substituting $x = 1$ into the expression ${x}^7+\frac{1}{x^{117}}$ $1^7 + \frac{1}{1^{117}} = 1 + 1 = 2$. Hence, the correct answer is 2.
Question : Which one of the following is not a sect of Buddhism?
Option 1: Mahayana
Option 2: Hinayana
Option 3: Digambar
Option 4: Theravad
Correct Answer: Digambar
Solution : The Correct Answer is Digambar
In reference to their customary monastic practice of neither owning nor donning any clothing, the Sanskrit word Digambara means "sky-clad." According to the Digambaras, being naked is a requirement for salvation. Currently, the majority of Digambara Jain communities are concentrated
Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 28 + 7 × 10 ÷ 5 − 20 = 5
Option 1: 10 and 20; × and +
Option 2: 5 and 20; − and ÷
Option 3: 7 and 28; × and ÷
Option 4: 5 and 10; + and ÷
Correct Answer: 5 and 10; + and ÷
Solution : Given: 28 + 7 × 10 ÷ 5 − 20 = 5
Interchanging of numbers and mathematical signs given in the options, First option: 10 and 20; × and + 28 + 7 × 10 ÷ 5 − 20 =
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 (1)______ of birds is one of the most fascinating aspects of the natural world. From the soaring flight of eagles to the colourful plumage of parrots, birds have evolved a wide range of (2)______ to survive and thrive in their environments. One of the most remarkable adaptations is the ability of some birds to migrate over vast distances, often crossing oceans and continents to reach their breeding or wintering grounds. However, many species of birds are facing threats to their survival, such as habitat loss, climate change and (3)______ by humans. In response, conservation efforts have been put in place to protect these birds and their habitats. This might involve creating protected areas, restoring degraded habitats or reducing the use of pesticides and other harmful chemicals. Another important aspect of bird conservation is (4)_______ populations to track changes over time and identify emerging threats. This can be done through citizen science programmes or through more intensive efforts led by conservation organisations. Ultimately, protecting birds and their habitats is not only important for the birds themselves but also for the broader ecosystems they are a part of, and the many benefits these ecosystems provide to humans, such as clean air and water, and (5)________ opportunities.
Select the most appropriate option to fill in blank no. 4.
Option 1: neglecting
Option 2: monitoring
Option 3: overlooking
Option 4: forgetting
Correct Answer: monitoring
Solution : The most appropriate choice is the second option.
In the context of bird conservation, it's crucial to monitor bird populations to assess their status and any emerging threats. The word "monitoring" means keeping an eye on or observing something over time, which is a
Question : A photographer is allowed a discount of 10% on the advertised price of a camera. The price (in Rs.) that must be marked on the camera, which cost him Rs. 600, to make a profit of 20% would be:
Option 1: 650
Option 2: 800
Option 3: 700
Option 4: 850
Correct Answer: 800
Solution : Let the marked price of the camera be Rs. $x$. According to the question, (100 – 10)% of $x$ = 120% of 600 (Since Selling price = Cost price + Profit = Marked price – Discount) ⇒ $x$ × 90 = 600 × 120 ⇒
Question : Intercalary meristems are found in:
Option 1: Node
Option 2: Lateral bud
Option 3: Terminal bud
Option 4: Internode
Correct Answer: Internode
Solution : The correct option is Internode.
Intercalary meristems are often found in internodes, which are the regions of the stem between nodes (points on the stem where leaves or branches join). These meristems are vital in plants such as grasses and certain other herbaceous species because
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 20 * 2 * 50 * 5 * 115
Option 1: –, ×, =, +
Option 2: +, ×, =, –
Option 3: +, ×, –, =
Option 4: –, ×, +, =
Correct Answer: +, ×, –, =
Solution : Given: 20 * 2 * 50 * 5 * 115
Replace the * sign given in the equation with the assigned signs in the options one by one – First option: –, ×, =, + 20 – 2 × 50 = 5
Question : Using trigonometric formulas, find the value of $(\frac{\sin (x-y)}{\sin (x+y)})(\frac{\tan x+\tan y}{\tan x-\tan y})$
Option 1: –2
Option 3: 0
Option 4: 1
Correct Answer: 1
Solution : Given: $\frac{\sin (x-y)}{\sin (x+y)}(\frac{\tan x+\tan y}{\tan x–\tan y})$ Using $\sin(x+y)=\sin x\cos y+\cos x\sin y$ and $\sin(x-y)=\sin x\cos y-\cos x\sin y$, we get: $=(\frac{\sin x\cos y–\cos x\sin y}{\sin x\cos y+\cos x\sin y})(\frac{\tan x+\tan y}{\tan x–\tan y})$ Dividing both numerator and denominator by $\cos x\cos y$, we
Question : Select the most appropriate meaning of the given idiom.
Lily-livered
Option 1: Brave
Option 2: Comical
Option 3: Not brave
Option 4: Naughty
Correct Answer: Not brave
Solution : The correct choice is the third option.
Lily-livered is an idiom that means weak and cowardly, and the third option correctly describes this as not brave. Thus, it is the correct choice.
The meanings of the other options are as follows:
Question : Articles are marked at a price which gives a profit of 25%. After allowing a certain discount, the profit reduces to $12\frac{1}{2}$%. The discount percent is:
Option 1: 11.1%
Option 2: 10%
Option 3: 12.5%
Option 4: 12%
Correct Answer: 10%
Solution : Let the cost price of each article be Rs. 100. $\therefore$ Marked price = Rs. (100 + 25) = Rs 125 On giving a discount, Selling price = Rs. 112.5 $\therefore$ Discount percentage = $\frac{\text{Discount}}{\text{Marked Price}}×100$% =$\frac{(125 – 112.5)}{125}$ = 10% Hence, the correct answer
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