Correct Answer: Delhi-Kolkata-Mumbai-Chennai

Solution : The correct option is Delhi-Kolkata-Mumbai-Chennai.

The Golden Quadrilateral is a network of four major cities in India, forming a quadrilateral shape. It connects the cities of Delhi in the north, Mumbai in the west, Chennai in the south and Kolkata in the east. This extensive highway system is a vital transportation route, linking these urban centres, and promoting economic development, and connectivity across the country.

Correct Answer: $\frac{h^2-x^2}{2h}$ metre

Solution :
Given:
AB = Height of tree = $h$ metre
Let the height at which the tree is broken, AC = $y$ metre
BC = CD = Broken part of tree = $(h – y)$ metre
∴ In ∆ ACD,
AC² + AD² = CD²
⇒ $y^2 + x^2 = (h – y)^2$
⇒ $y^2 + x^2 = h^2 + y^2 – 2hy$
⇒ $x^2 = h^2 – 2hy$
⇒ $2hy = h^2 – x^2$
$\therefore y =\frac{h^2-x^2}{2h}$ metre
Hence, the correct answer is $\frac{h^2-x^2}{2h}$ metre.

Correct Answer: Chennai

Solution : The correct answer is Chennai.

The 7th and 8th century Hindu Group of Monuments at Mahabalipuram are the town's most famous landmark. It is located in the Chengalpattu district of Tamil Nadu, a state in southeast India.
 

Correct Answer: Khayyam

Solution : The correct option is Khayyam.

Khayyam, also known as Mohammed Zahur Khayyam Hashmi, was a renowned Indian music director and composer. He had a successful career in the Indian film industry. His contributions to Indian film music earned him several awards and accolades, including the National Film Award and Filmfare Awards.

Correct Answer: Troposphere

Solution : The correct answer is the Troposphere.

The troposphere is the lowest layer of the atmosphere where all the essential gases and water vapours which are vital for the existence of human life are present. In this layer, only all the climatic phenomena and all biological activities happen. The height of the troposphere from Earth's crust is about 18 to 20 km at the equator and 6 km at the poles, i.e. it is thicker at the equator and thinner at the poles.

Correct Answer: 26

Solution : Given:
4, 11, 17, 22, ?, 29, 31, 32

Add natural numbers in decreasing order (starting from 7) to each term to get the next term of the series.
4 + 7 = 11; 11 + 6 = 17; 17 + 5 = 22; 22 + 4 = 26; 26 + 3 = 29; 29 + 2 = 31; 31 + 1 = 32

So, 26 is the missing number of the series. Hence, the second option is correct.

Correct Answer: lactose

Solution : The correct option is lactose.

Lactitol is a sugar found in milk, derived through the process of hydrogenation of lactose. This conversion is done by adding hydrogen atoms to its molecular structure.

Lactitol is nowadays used in the confectionery, bakery, and chocolate industries. It is also used as a cryoprotectant and as a stabiliser in biosensors.

Correct Answer: EDDEDD

Solution : Given: 
D_D_E_D_ _D E_

To fill the series we need to divide the series – D_D/_E_/D_ _/D E_
Let's check each option –
First option: DEDDED; DDD/EED/DDE/DED (No repeated pattern has been found.)
Second option: EDEDED; DED/DEE/DDE/DED (No repeated pattern has been found.)
Third option: EDDEDD; DED/DED/DED/DED (DED is repeated in the series.)
Fourth option: DEEDEE; DDD/EED/DDE/DED (No repeated pattern has been found.)

So, the series becomes→DEDDEDDEDDED. Hence, the third option is correct.

Correct Answer: hits the nail on the head

Solution : The correct choice is the first option.

The idiom means to do or say something exactly right. One can use this phrase when someone finds the exact answer to a problem or a question.

Therefore, the correct sentence is: Bharath is a skilful achiever, so he hits the nail on the head.

Correct Answer: prefigure

Solution : The correct choice is the third option

Prefigure means to show something will happen in the future.

The meanings of the other options are as follows:

• Deliberate means done consciously and intentionally, which does not fit the context.
• Precipitate means to cause something to happen suddenly or unexpectedly, which is not the intended meaning.
• Proliferate means to increase rapidly, which is unrelated to predicting behaviour.

Therefore, the correct sentence is: One cannot exactly prefigure the way she behaves in public gatherings.