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Question : Directions: In the following question, find the odd number from the given alternatives.

Option 1: 234

Option 2: 345

Option 3: 243

Option 4: 432

Team Careers360 19th Jan, 2024

Correct Answer: 345


Solution : Let's check the options –
First option: 234; 2 + 3 + 4 = 9
Second option: 345; 3 + 4 + 5 = 12 ≠ 9
Third option: 243; 2 + 4 + 3 = 9
Fourth option: 432; 4 + 3 + 2

20 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".

My nephew (1) / begun working for me (2) / about ten years ago. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 25th Jan, 2024

Correct Answer: (2)


Solution : The error lies in the second part of the sentence.

The verb begun should be replaced with began as the sentence requires the past form of the verb as per the simple past tense.

Therefore, the correct sentence is: My nephew began working for me

11 Views

Question : The factors of $ x^4+x^2+25$ are:

Option 1:  $\left(x^2+3 x-5\right)\left(x^2-3 x+5\right)$

Option 2: $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$

Option 3: $\left(x^2-3 x+5\right)\left(x^2-3 x+5\right)$

Option 4: $\left(x^2+3 x+5\right)\left(x^2+3 x+5\right)$

Team Careers360 25th Jan, 2024

Correct Answer: $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$


Solution : $ x^4+x^2+25$
$= x^4+10x^2-9x^2+25$
$= x^4+10x^2+25-9x^2$
$=(x^2+5)^2-9x^2$
$=(x^2+5)^2-(3x)^2$
$=\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$
Hence, the answer is $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$.

26 Views

Question : Reshma alone can do a work in 14 days. Bhavana is 40% more efficient than Reshma. The number of days, Bhavana alone will take to do the same piece of work is:

Option 1: 10 days

Option 2: 40 days

Option 3: 28 days

Option 4: 14 days

Team Careers360 19th Jan, 2024

Correct Answer: 10 days


Solution : Let the time Bhavana takes to complete the work as B.
Since Bhavana is 40% more efficient than Reshma,
she can complete the work in $\frac{100\%}{140\%}$ = $\frac{5}{7}$th of the time that Reshma takes. 
⇒ B = $\frac{5}{7} × 14$
⇒ B = $10$

40 Views

Question : Directions: In a certain code language, CAKE is written as 6, and JUICE is written as 7. How will JUG be written in that language?

Option 1: 4

Option 2: 5

Option 3: 3

Option 4: 6

Team Careers360 25th Jan, 2024

Correct Answer: 5


Solution : Given:
CAKE is written as 6 and JUICE is written as 7.

Add 2 to the number of letters of CAKE, to obtain the required code –
Number of letters in CAKE = 4; 4 + 2 = 6
Thus, CAKE is coded as 6.

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