Staff Selection Commission Combined Graduate Level Exam
Question : What happens when a drop of glycerol is added to crushed potassium permanganate (KMnO).spread on a paper?
Option 1: There is a crackling sound
Option 2: There is a violent explosion
Option 3: There is no reaction
Option 4: The paper ignites
Correct Answer: There is a violent explosion
Solution : The correct option is - There is a violent explosion
A strong combustion reaction happens when glycerol or glycerin is combined with solid potassium permanganate (KMnO₄). When in contact with glycerol, potassium permanganate, an extremely strong oxidant, instantly explodes. The rate
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 26, 53) (8, 23, 47)
Option 1: (5, 14, 29)
Option 2: (6, 17, 36)
Option 3: (11, 32, 56)
Option 4: (7, 20, 42)
Correct Answer: (5, 14, 29)
Solution : Given: (9, 26, 53); (8, 23, 47)
In the given sets, subtract the second number from the third number and divide the resultant by 3 to get the first number. (9, 26, 53)→53 – 26 = 27; 27 ÷ 3 = 9 (8,
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
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