It's a Question of your Career!

Correct Answer: –1

Solution : Given: $2+4x<5-\frac{x}{2}$ and $3x+3>-5-3x$
Or, $2+4x<\frac{10-x}{2}$ and $3x+3x>-5-3$
Or, $2(2+4x)<10-x$ and $6x>-8$
Or, $4+8x<10-x$ and $x>\frac{-8}{6}$
Or, $x+8x<10-4$ and $x>\frac{-4}{3}$
Or, $9x<6$ and $x>-1.33$
Or, $x<\frac{6}{9}$ and $x>-1.33$
Or, $x<0.67$ and $x>-1.33$
Or, $-1.33<x<0.67$
Amongst all the given values –1 satisfies the above condition.
Hence,

Correct Answer: rescind

Solution : The second option is correct.

Rescind: This word means to revoke, cancel, or repeal a law, order, or agreement. It is the appropriate spelling in this context.

Recind, recsind, and resind are not correct spellings and do not correspond to a valid English word.

Therefore,

Correct Answer: $1$

Solution : $abc = 5$
⇒ $b = \frac{5}{ac}$
⇒ $b^{-1} = \frac{ac}{5}$
⇒ $\frac{c}{5} = \frac{1}{ab}$
Now, $(\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+5 c^{-1}}+\frac{1}{1+\frac{c}{5}+a^{-1}})$
= $(\frac{1}{1+a+\frac{ac}{5}}+\frac{1}{1+ \frac{5}{ac}+5 c^{-1}}+\frac{1}{1+ \frac{1}{ab}+a^{-1}})$
= $(\frac{5}{5+5a+ac} +\frac{ac}{5+ 5a +ac}+\frac{5a}{5+5a+ac})$
= $\frac{5+5a+ac}{5+5a+ac}$
= $1$
Hence, the correct answer is $1$.

Correct Answer: Umling La

Solution : The correct option is Umling La.

The world's highest motorable road passes through the Umling La pass. It is situated in Ladakh at 19,300 feet (5,883 metres) above sea level. The road connects the villages of Chishumle and Demchok, both of which are located

Correct Answer: 14

Solution : Given: $\sqrt{3^{n}} = 2187$
$⇒\sqrt{3^{n}} = 3^{7}$
By squaring both sides,
$⇒(\sqrt{3^{n}})^{2} = (3^{7})^{2}$
$⇒3^{n} = 3^{14}$
$\therefore n=14$
Hence, the correct answer is 14.

Correct Answer: JMZ

Solution : Given:
DAF, FED, HIB, ?

Add 2 and 4 to the positional value of the first and second letters respectively and subtract 2 from the positional value of the third letter of the previous term to obtain the next term in the series –
First

Correct Answer:

Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

Correct Answer: (4)

Solution : The correct choice is the fourth option.

There is no error in the given sentence and the sentence is grammatically correct and follows the standard structure.

The phrase "much too heavy" is used to indicate that the homework is excessively or extremely difficult, so it

Correct Answer: To do something without special preparation.

Solution : The first option is the correct answer.

Play it by ear is an idiomatic expression that means to handle a situation in an impromptu or flexible manner without having a predetermined plan. It implies adapting to circumstances as they unfold

Correct Answer: (10 × 7) – 2 < (10 – 2) × 7

Solution : Let's check the options –
First option: (10 + 2) ÷ 7 < (10 ÷ 7) + 2
On replacing with symbols as directed, we get –
(10 ÷ 2) – 7 < (10 –