It's a Question of your Career!

Correct Answer: $\frac{5}{39}$

Solution :

$\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}$
$=\frac{1}{(3×5)}+\frac{1}{(5×7)}+\frac{1}{(7×9)}+\frac{1}{(9×11)}+\frac{1}{(11×13)}$
$= \frac{1}{2}×[( \frac{1}{3}− \frac{1}{5})+( \frac{1}{5}− \frac{1}{7})+( \frac{1}{7}− \frac{1}{9})+( \frac{1}{9}− \frac{1}{11})+( \frac{1}{11}− \frac{1}{13})]$
$= \frac{1}{2}×( \frac{1}{3}− \frac{1}{13})$
$= \frac{1}{2}×( \frac{13-3}{39})$
$= \frac{5}{39}$
Hence, the correct answer is $ \frac{5}{39}$.

Correct Answer: goes ten minutes behind

Solution : The segment with a grammatical error is in the third option.

Explanation:
The error lies in the use of behind with the phrase ten minutes. The more appropriate term here is fast instead of behind because the sentence suggests that the watch

Correct Answer: 4

Solution : The correct choice is the fourth option.

The sentence is grammatically accurate and doesn't need any change as per the rule of conditionals. The sentence conveys the idea that Sumithra didn't miss the cab because she had hurried.

Therefore, the given sentence requires no improvement

Correct Answer: Disclose

Solution : The correct choice is the fourth option.

Explanation: The hint here is to look for a word that has a similar meaning to reveal, which implies making something known or showing something that was previously hidden. Disclose fits this context perfectly, as it means

Correct Answer: Remain calm

Solution : The correct choice is the third option.

Keep your head is an idiom that means to remain calm in challenging situations.

This is correctly explained in the third option, which says remain calm.

Correct Answer: gi

Solution : Given:
(I) life and love⇒ri ti gi
(II) life is tangible⇒mi pi ri
(III) love is pure⇒mi gi oi

By comparing all the three coded sentences, we find that –
In sentences I and II, life and ri are common.
In sentences I and III,

Correct Answer: Andhra Pradesh

Solution : The correct answer is Andhra Pradesh.

Veeranatyam is the name of an Andhra Pradesh-based Indian classical dance style. Veeranatyam, a traditional dance with religious undertones from Andhra Pradesh, is also known as the Dance of the Brave (Veera, which means brave, and Natyam,

Correct Answer: 15

Solution : According to the question
 Prime numbers between 9 and 22:  are 11, 13, 17,19
Average of $n$ observations is given by $\frac{\text{Sum of all observations}}{n}$
⇒  Average = $\frac{(11 + 13 + 17 + 19)}{4}$ =  15
Hence, the correct answer is 15.

Correct Answer: (3)

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

A question tag is a very short clause at the end of a statement that changes the statement into a question. We have a negative statement in the sentence, followed by a negative question tag.

Correct Answer: Fixed

Solution : The correct answer is the first option.

Explanation: When seeking a synonym, it's important to consider the context and meaning of the word. Stationary refers to something that is not moving, and the option Fixed accurately captures this sense of stability and lack of