(c) All three statements are correct
Classification of Nagara Style of Temple Architecture Based on the Style of Shikhara

Latina/ Rekha-Prasada: It is the simple and most common type of shikhara. It is square at the base and the walls curve or slopes inwards to a point on top. Latina types are mainly used for housing the garbhagriha. Later on, the Latina buildings grew complex, and instead of appearing like a single tower, the temple began to support many small towers, which were clustered together like rising mountain type with the tallest one being in the centre, and this was the one which was always above the garbhagriha. For Example, Early medieval temples such as the Markhera Sun Temple in Madhya Pradesh and Sri Jagannath Temple in Orissa.
Phamsana: Compared to Latina structures, Phamsana structures are often wider and shorter. In contrast to the Latina ones, which have roofs that resemble rapidly rising towering towers, theirs are made of several slabs that rise gradually to a single point over the middle of the building. Phamsana rooftops have a straight upward slope rather than an inward bend. The main Garbhagriha is housed in a Latina structure, while the mandapas are often constructed using the Phamsana style in North Indian temples.
Valabh: Valabhi style of temple architecture is square structures with roofs that rise into vaulted spaces. The domed chamber’s edge is rounded, just like the wagons made of bamboo or wood that bullocks would have hauled in the past. They are frequently referred to as “wagon-vaulted buildings.” The shape of the temple was influenced by prehistoric building styles that were in use before the fifth century CE.
Shekari: The Shikhara, a kind of Latina, consists of a central Rekha-prasad Shikhara and one or more rows of his smaller towers on either side. Mini Shikhara is also installed on the pedestal and corners. One of the most well-known temples of this type is the Khajuraho Hokandari Yamahadev Temple.
Bhumija: The Bhumija architecture created in Malwa during the reign of the Paramara dynasty was another sort of Nagara temple that emerged from the Latina style. These temples have flat, upward-tapering extensions divided into quadrants by tapering spires and a central Latin cusp in the center. With both horizontal and vertical carving, it is a miniature Shikhara at the Udayeshwar Temple in Madhya Pradesh.

(d) All four statements are correct
Mughal architecture is renowned for its use of red sandstone and white marble. Examples include the Red Fort and the Taj Mahal.
The Buland Darwaza at Fatehpur Sikri was indeed constructed by Akbar to commemorate his victory over Gujarat.
Mughal architecture was a blend of Persian, Indian, and Islamic architectural elements, creating a unique and grand style.
The Charbagh layout, a Persian-style garden divided into four parts, was introduced in India by the Mughals and is seen in many Mughal gardens and tombs.

(a) A work of grammar
Tolkappiyam: The Sangam literature includes Tolkappiyam, Ettutogai, Pattuppattu, Pathinenkilkanakku, and two epics named – Silappathikaram and Manimegalai .Tolkappiyam was authored by Tolkappiyar and is considered the earliest of Tamil literary works. Though it is a work on Tamil grammar, it also provides insights into the political and socio-economic conditions of the time. It is a unique work on grammar and poetics, in its three parts of nine sections each, deals with Ezhuttu(letter), Col (word) and Porul (subject matter).

(c) All three statements are correct
The Hoysala temples are often described as a hybrid or vesara style, which is a blend of the Dravidian and Nagara styles, rather than being predominantly Dravidian.
The Hoysala temples are indeed known for their unique star-shaped platforms, which is a distinctive feature of their architecture.
A unique aspect of Hoysala temples is that artisans often inscribed their names and additional details on the temple structures, offering historical insights into the creators of these remarkable works.
Artistic Expression: Hoysala art found complete expression in smaller temples like those at Somanathapura and Nuggehalli, which feature elaborate stone sculptures and friezes depicting Hindu epics.

(b) 1st and 3rd are only correct
The Aga Khan Award for Architecture is a prestigious architectural prize established in 1977 by Aga Khan IV. It aims to recognize and reward architectural concepts that address the needs and aspirations of Muslim societies in various fields such as contemporary design, social housing, community development, restoration, reuse, and landscape design.
However, it is not limited to projects in Muslim-majority countries; it is open to projects from all over the world that serve Muslim communities or are designed by Muslim architects.