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10 Views

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

Team Careers360 25th Jan, 2024

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

6 Views

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: $\frac{1}{b^8+1}$

Team Careers360 25th Jan, 2024

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 $\frac{1}{b^8-1}$.

23 Views

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

Team Careers360 25th Jan, 2024

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

12 Views

Question : The ‘Sorrow of Bengal’ is _______.

Option 1: The Narmada

Option 2: The Damodar

Option 3: The Koshi

Option 4: The Tapi

Team Careers360 25th Jan, 2024

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

13 Views

Question : Select the most appropriate ANTONYM of the given word.
INTENTIONAL

Option 1: voluntary

Option 2: accidental

Option 3: designed

Option 4: calculated

Team Careers360 25th Jan, 2024

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:

  • Voluntary means something that is done willingly or by choice
  • Designed 
14 Views

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: $\frac{15\sqrt 3}{2}\text{ cm}$

Team Careers360 25th Jan, 2024

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

22 Views

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)

Team Careers360 25th Jan, 2024

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

11 Views

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

Team Careers360 25th Jan, 2024

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

26 Views

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

Team Careers360 25th Jan, 2024

Correct Answer: Bopsi


Solution : Given:
1. Akram is further up the ladder than Bopsi.

Akram
Bopsi

2. Bopsi is in between Akram and Priya.

Akram
Bopsi
Priya

3. Tulsi is still further up than Akram.

1.  Tulsi (Top)
2. Akram
3. Bopsi
4. Priya (Bottom)

So, the second person

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