Correct Answer: GW

Solution : Given:
DP, EY, FJ, ?

Add 1 and 9 to the positional value of the first and second letters respectively of the previous term to obtain the next term in the series –
First letter of the series→D + 1 = E; E + 1 = F; F + 1 = G
Second letter of the series→P + 9 = Y; Y + 11 = J; J + 13 = W

So, GW is the missing term. Hence, the fourth option is correct.

Correct Answer:

Solution : In the given figure, a circular top is in the opposite direction alternately, and in each step, the number of circular top arrows increased by 1 on the right and 1 on the left side of the box.
Thus, the missing part of the figure is –

Therefore, the complete figure is given below –

Hence, the fourth option is correct.

Correct Answer: 0

Solution : Given: $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$
⇒ $\frac{b–a}{ab}=\frac{1}{a–b}$
⇒ $(b–a)(a–b)=ab$
⇒ $(a–b)^{2}=–ab$
⇒ $a^{2}+b^{2}–2ab=–ab$
⇒ $a^{2}+b^{2}=ab$
⇒ $a^{2}+b^{2}-ab=0$
We know $a^3+b^3=(a+b)(a^2+b^2-ab)$
So, $a^3+b^3=0$
Hence, the correct answer is $0$.

Correct Answer: Touchpad

Solution : The correct answer is Touchpad.

Neeti should use a touchpad. Touchpads are input devices that detect the movement and pressure of a user's finger on a flat surface. They are commonly found on laptops and are used for navigating the cursor on the screen, clicking, and performing various gestures. The touchpad matches the description of an input device that senses both finger movement and downward pressure.

Correct Answer: 22

Solution : The given figure can be labelled as shown below –

In the above-labelled figure, there are a total of 22 triangles. They are AKM, ADH, HNM, HEA, HNO, HEF, HMO, HAF, FOP, FHI, FPQ, FIJ, FOQ, FHJ, JRQ, JGF, JRS, JGB, JQS, JFB, BSL, BJC.

Hence, the first option is correct.

Correct Answer: Karnataka

Solution : The correct option is - Karnataka

In the Shimoga district of Karnataka's Western Ghats, Jog Falls is a waterfall on the Sharavathi River. It is India's second-highest plunge waterfall. It is a segmented waterfall that changes its form depending on the time of year and the amount of rainfall.

Correct Answer: COVAXIN

Solution : The correct option is COVAXIN.

India's first indigenously developed COVID-19 vaccine is Covaxin. It was developed by Bharat Biotech in collaboration with the Indian Council of Medical Research (ICMR) and the National Institute of Virology (NIV). Covaxin received emergency use authorisation in India and played a significant role in the country's COVID-19 vaccination campaign.

Correct Answer: 17 cm

Solution :
Given: DE || BC and AB = 17 cm.
From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB
Also, $\angle$DAB = $\angle$ABC (Alternate angle)
So, $\angle$ACB = $\angle$ABC
⇒ AB = AC = 17 cm
Hence, the correct answer is 17 cm.

Correct Answer: Chikhal Kalo

Solution : The correct answer is Chikhal Kalo.

Chikhal Kalo, an exclusive religious festival held in the village of Marcel in Goa, is a unique blend of devotion and enjoyment. It takes place annually on the 11th day of the Hindu month of Ashadh within the expansive grounds of the Devki Krishna temple. With the onset of the monsoon, the temple premises transform into a muddy terrain, adding a crucial element to the ensuing festivities.

Correct Answer: 13.79 percent

Solution : The total expenditure of all the companies = 200 + 500 + 400 + 300 + 1100 = 2500
Total savings of all the companies = 400 + 900 + 700 + 400 + 500 = 2900
Required percentage = $\frac{2900-2500}{2900}\times 100=13.79\%$
Hence, the correct answer is 13.79 percent.