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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.
A hummingbird’s brilliant throat colour is not caused by feather (1) ________, but rather by iridescence in the arrangement of the feathers. Light level, moisture, angle of viewing, wear and tear and other factors all (2) ______ just how bright and colourful the throat may appear. Hummingbirds cannot walk or hop, though their feet can be used to (3) _____ sideways while they are perched. These birds have evolved smaller feet to be lighter for more (4) ______ flying. They will use their feet for itching and (5) _______, however.
Question
Select the most appropriate option to fill in the blank number 1.
Option 1: perspiration
Option 2: deposition
Option 3: sediment
Option 4: pigment
Correct Answer: pigment
Solution : The fourth option is the correct choice.
Pigment is a colour substance that gives colour to another material. It is the most suitable choice to convey the idea of colour in the context of the passage.
The meanings of the other options are as follows:
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Fragile 2. Fracture 3. Fraud 4. Fragment 5. Fridge
Option 1: 1, 2, 4, 3, 5
Option 2: 2, 1, 4, 3, 5
Option 3: 2, 1, 4, 5, 3
Option 4: 1, 2, 5, 3, 4
Correct Answer: 2, 1, 4, 3, 5
Solution : Given: 1. Fragile 2. Fracture 3. Fraud 4. Fragment 5. Fridge
Step 1: Compare the first and second letters of each word. Since all the words start with the same letter F and are followed by r then move on to
Question : Simplify the expression: $\frac{1}{8}\left[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}\right]$
Option 1: $\frac{1}{b^8-1}$
Option 2: $\frac{8}{b^8+1}$
Option 3: $\frac{8}{b^8-1}$
Option 4: $\frac{1}{b^8+1}$
Correct Answer: $\frac{1}{b^8-1}$
Solution : $\frac{1}{8}[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$ = $\frac{1}{8}[\frac{(b+1)-(b-1)}{b^2-1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$ = $\frac{1}{8}[\frac{2}{b^2-1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}]$ = $\frac{1}{8}[\frac{2(b^2+1)-2(b^2-1)}{b^4-1}-\frac{4}{b^4+1}]$ = $\frac{1}{8}[\frac{4}{b^4-1}-\frac{4}{b^4+1}]$ = $\frac{1}{8}[\frac{4(b^4+1)-4(b^4-1)}{b^8-1}]$ = $\frac{1}{8}[\frac{8}{b^8-1}]$ = $\frac{1}{b^8-1}$ Hence, the correct answer is $\frac{1}{b^8-1}$.
Question : In $\triangle ABC$, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE : BC = 6 : 7. (Area of $\triangle {ADE}$ ) : (Area of trapezium BCED) = ?
Option 1: 49 : 13
Option 2: 13 : 36
Option 3: 13 : 49
Option 4: 36 : 13
Correct Answer: 36 : 13
Solution : DE : BC = 6 : 7 Theorem Used: The ratios of the areas of two similar triangles are equal to the square of the ratio of their corresponding sides Calculation: Considering $\triangle$ABC and $\triangle$ADE $\angle$A = $\angle$A (Common) As DE || BC
Question : The ‘Sorrow of Bengal’ is _______.
Option 1: The Narmada
Option 2: The Damodar
Option 3: The Koshi
Option 4: The Tapi
Correct Answer: The Damodar
Solution : The correct answer is The Damodar.
The devastating floods that the River Damodar causes in the West Bengal plains have earned it the nickname "Bengal's sorrow." Because of the southwest monsoon, the Damodar River catchment area receives seasonal rains every year. Depending on the
Question : Select the most appropriate ANTONYM of the given word. INTENTIONAL
Option 1: voluntary
Option 2: accidental
Option 3: designed
Option 4: calculated
Correct Answer: accidental
Solution : The second option is the correct choice.
Intentional means something done with purpose or intent, while accidental refers to something happening by chance or without intent.
The meanings of other options are as follows:
Question : What is the altitude of an equilateral triangle whose side is 15 cm?
Option 1: $15\sqrt3\text{ cm}$
Option 2: $10\sqrt 3\text{ cm}$
Option 3: $\frac{9\sqrt 3 }{2}\text{ cm}$
Option 4: $\frac{15\sqrt 3}{2}\text{ cm}$
Correct Answer: $\frac{15\sqrt 3}{2}\text{ cm}$
Solution : Given: The side of the triangle is 15 cm. Let the altitude be $x$ cm. The length of the altitude of an equilateral triangle = $\frac{\sqrt3}{2}$ × side of the triangle. ⇒ $x = \frac{\sqrt3}{2}\times15$ ⇒ $x = \frac{15\sqrt3}{2}$ Hence, the correct answer
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
One (1) / should keep (2) / his word. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
When a sentence uses the indefinite pronoun one, it should continue using the same pronoun or its supplementary forms i.e., one's in this case, as it is not correct to use other pronouns
Question : What is the sum of the first 9 terms of an arithmetic progression, if the first term is 7 and the last term is 55?
Option 1: 219
Option 2: 137
Option 3: 231
Option 4: 279
Correct Answer: 279
Solution : Given: The first term is 7 and the last term is 55. Using the formula, S9 = $\frac{n}{2}(a+l)$ Where $a$ is the first term, $l$ is the last term of the A.P., and n is the number of terms. By putting the value of
Question : Directions: Four children, Akram, Bopsi, Priya, and Tulsi are sitting on a ladder. Akram is further up on the ladder than Bopsi. Bopsi is in between Akram and Priya. If Tulsi is still further up than Akram, who is the second person from the bottom?
Option 1: Tulsi
Option 2: Akram
Option 3: Priya
Option 4: Bopsi
Correct Answer: Bopsi
Solution : Given: 1. Akram is further up the ladder than Bopsi.
2. Bopsi is in between Akram and Priya.
3. Tulsi is still further up than Akram.
So, the second person
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