It's a Question of your Career!

Correct Answer: audiance

Solution : The misspelt word is the fourth option.

"Audience" is the correct spelling, and it is used to describe the group of people together in one place to watch or listen to a play, or film.

Correct Answer: fires in California is

Solution : The error lies in the third option.

The subject fires is plural, so the verb should also be plural to maintain subject-verb agreement. In the original sentence, is (singular) is used instead of are (plural). The corrected version ensures subject-verb agreement by

Correct Answer: 2

Solution : Given:
$a+b+c=0$
$\therefore b+c=-a$
Now, $a+b+c=0$
By squaring both sides, we get,
$(a+b+c)^2=0$
⇒ $a^2+b^2+c^2+2(ab+bc+ca)=0$
⇒ $a^2+b^2+c^2+2[a(b+c)+bc]=0$
⇒ $a^2+b^2+c^2+2[a(-a)+bc]=0$
⇒ $a^2+b^2+c^2-2[a^2-bc]=0$
⇒ $a^2+b^2+c^2=2[a^2-bc]$
$\therefore\frac{a^2+b^2+c^2}{a^2-bc}=2$
Hence, the correct answer is $2$.

Correct Answer: BBDE

Solution : Given:
VVXY : RRTU :: FFHI : ?

Subtract 4 from the place value of each letter of VVXY to obtain the required code –
V – 4 = R; V – 4 = R; X – 4 = T; Y – 4 = U

Correct Answer: 2

Solution : The correct improvement for the sentence is: has belonged.

Explanation: The original phrase "has been belonging" is not grammatically correct in this context. When expressing ownership or possession that has continued over a period of time, we typically use the present perfect tense. "Has belonged"

Correct Answer: To do something quickly or cheaply, often at the expense of quality or safety.

Solution : The correct choice is the second option.

The idiom, cutting corners means to do something in the easiest, quickest, or cheapest way, often sacrificing quality or thoroughness.

Correct Answer: $\frac{19}{5}$

Solution : $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}$
Using the identity $\sec \theta = \frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$,
$\frac{\frac{1}{cos\theta}-\frac{\sin \theta}{\cos \theta}}{\frac{1}{cos\theta}+\frac{\sin\theta}{\cos\theta}}=\frac{1}{7}$
$⇒\frac{1-\sin \theta}{1+\sin \theta}=\frac{1}{7}$
On applying componendo and dividendo, 
$⇒\sin \theta = \frac{3}{4}$
Using the identity $\sin^2 \theta + \cos^2 \theta = 1$,

Correct Answer: I am willing to consider the possibility

Solution : The correct choice is the first option.

• The sentence with no spelling error is: I am willing to consider the possibility.
• The second option contains the incorrect spelling "considerr", whereas the correct spelling is consider.
• The third

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the third option is correct.

Correct Answer: 24 metre east

Solution : Given: 

1. X and Y both start from the same point; X walks 17 m west. Then turns to his right and walks 13 meters.
2. At the same time. Y walks 9 m North, then turns East and walks 9 m north, then turns