CAT Introduction to Reasoning based DI - Practice Questions & MCQ

Directions for question: The bar graph given below shows the amount (in Rs) to be paid as a one-way toll charge by the different types of vehicles at the Dankuni Toll Plaza on National Highway 6, on the outskirts of Kolkata:

The pie chart given below shows the percentage break-up of the different types of vehicles that crossed the same Toll Plaza on the day of Durga Puja on 3rd October 2022.

Answer the following questions with the aid of the data given above:
Question: On the 3rd October 2022, the amount collected from 4/5 – axle Trucks at the Dankuni Toll Plaza, was what per cent more (rounded to the nearest integer) than the amount collected from Light Commercial Vehicles?

Directions for question:

The famous Indian nuclear physicist, Padma Vibhusan Dr Raja Ramanna, while researching during India’s first nuclear bomb test -- Project ‘Smiling Buddha’, hit upon the secret of preparing a new radioactive material (Indianium X) using two secret compounds – compound Abra and compound Cadabra.

For preparing two kilograms of Indianium X, 880 gm of Abra and 540 gm of Cadabra were required. The preparation of the material happened only in batches of two kilograms and preparation of any batch of Indianium X could begin only if the quantity of secret compounds available were sufficient to prepare two kilograms of the material. Only when there was a shortfall in any secret compound because of which it was not possible to prepare the batch of Indianium X, that secret compound was purchased from the international market with the help of the Indian intelligence agency (RAW).

Dr Ramanna always noted down the details regarding the number of kilograms of Indianium X he prepared on each month and the type and quantity of secret compound he had to purchase, if any. Given below is an excerpt from his notes for the year 1970 :

Question:- Which of the following could be the quantity of stock of Cadabra left after exactly 128 kg of Indianium X had been prepared?

Directions for question:
Along the eastern foothills of the Himalayas lie the district of Darjeeling in the state of West Bengal and the state of Sikkim, both of which are considered a trekker’s paradise. 
Five towns in each of them deserve special mention from the point of view of trekking. They are 1) Takdah,  2) Mangan,  3) Sukhiapukhri,  4) Namchi,  5) Mirik,  6) Sarathang,  7) Pelling,  8) Lachung,  9) Sandakphu, and  10) Kurseong. 
Each town in either of the districts/states is connected to exactly three towns in the other state/district. One town is connected by a 4x4 wheel drive dirt road. The second town is connected by a bicycling route. The third town is connected by a foot-trekking path.
The following information is also known about them:
i)   Sarathang has a 4x4 wheel drive dirt road to Sandakphu, which in turn has a bicycling route to Namchi

ii)  Mangan has a foot-trekking path to Kurseong. 

iii) Mangan is not connected to Sukhiapukhri, which is not in the same district/state as that of Mangan

iv) Lachung and Namchi are in the same district/state, and from each of the two towns there is no route to reach Mirik or Kurseong, both of which are towns in a different district/state than the one in which Lachung lies

v)  Sarathang, which belongs to the state of Sikkim, is not connected to Sukhiapukhri which does not belong to the state of Sikkim

Question: If Pelling and Lachung are connected by a 4x4 wheel drive dirt road, Takdah is connected by a cycling route to which of the towns given below?

Directions for question:
Along the eastern foothills of the Himalayas lie the district of Darjeeling in the state of West Bengal and the state of Sikkim, both of which are considered a trekker’s paradise. 
Five towns in each of them deserve special mention from the point of view of trekking. They are 1) Takdah,  2) Mangan,  3) Sukhiapukhri,  4) Namchi,  5) Mirik,  6) Sarathang,  7) Pelling,  8) Lachung,  9) Sandakphu, and  10) Kurseong. 
Each town in either of the districts/states is connected to exactly three towns in the other state/district. One town is connected by a 4x4 wheel drive dirt road. The second town is connected by a bicycling route. The third town is connected by a foot-trekking path.
The following information is also known about them:

i)   Sarathang has a 4x4 wheel drive dirt road to Sandakphu, which in turn has a bicycling route to Namchi

ii)  Mangan has a foot-trekking path to Kurseong. 

iii) Mangan is not connected to Sukhiapukhri, which is not in the same district/state as that of Mangan

iv) Lachung and Namchi are in the same district/state, and from each of the two towns there is no route to reach Mirik or Kurseong, both of which are towns in a different district/state than the one in which Lachung lies

v)  Sarathang, which belongs to the state of Sikkim, is not connected to Sukhiapukhri which does not belong to the state of Sikkim

Question:  Which of the following groups of towns are definitely from the Darjeeling District?