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: 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: 20%

Solution :
Given: The average salary of male employees in a firm = Rs. 5200
The average salary of female employees in a firm = Rs. 4200
The average salary of all employees in a firm = Rs. 5000
By using the rule of alligation,
The ratio of the male employees to the female employees = (Higher value – Mean value) : (Mean value – Lower value)
= 800 : 200 = 4 : 1
So, the required percentage of female employees $=\frac{1}{(1+4)} × 100 = 20$%
Hence, the correct answer is 20%.

Correct Answer: Rs. 4,300

Solution : Assume the price is Rs. 100.
After a flat 50% discount, the selling price is (100 – 50) = Rs. 50
After two successive discounts of 30% and 30%, the selling price $=\frac{100 × 70 × 70}{100 × 100} = 49$
So, the difference is Re. 1 when the price is Rs. 100.
Here, the given difference is Rs. 43.
So, the price of the shirt is (43 × 100) = Rs. 4,300
Hence, the correct answer is Rs. 4,300.

Correct Answer: 28

Solution : Given:
13 : 20 :: 17 : ?

Subtract 6 from twice the first number to obtain the second number in each pair.
Like, 13 : 20→(13 × 2) – 6 = 26 – 6 = 20
Similarly, follow the same pattern for 17 : ?→(17 × 2) – 6 = 34 – 6 = 28

So, 17 is related to 28. Hence, the fourth option is correct.

Correct Answer: 1

Solution :
In the image, it is visible that only one parallel image can be drawn to the given tangent.
Hence, the correct answer is 1.

Correct Answer: Constellation

Solution : The correct choice is the second option.

We know that a group of stars that forms a pattern and has a name is called a constellation.

The meanings of other given words are as follows:

• Horde: This means a large, unorganised group of individuals or a teeming crowd.
• Caravan: This means a group of people with animals or a large vehicle travelling together.
• Galaxy: This means any large system of stars or planets in space.

Therefore, among these options, the most suitable one-word substitute for the underlined group of words (a series of stars) would be constellation.

Correct Answer: USA

Solution : Given:
Maharashtra : India :: Texas : ?

Like, Maharashtra is a state in India.
Similarly, Texas is a state in the USA.

Hence, the fourth option is correct.

Correct Answer: 1879-1880

Solution : The correct answer is 1879-1880.

The Koya uprising of 1879-1880, aided by Khonda Sara commanders, marked a series of revolts by the Koya tribe in the eastern Godavari tract (now Andhra Pradesh). Led by Tomma Sora, they protested persecution by the police and moneylenders, the imposition of new restrictions, and the denial of their historical rights to forest areas.

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the second option figure.

Hence, the second option is correct.