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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students who had taken both Physics and Chemistry but not Mathematics.
In a survey of university students, 64 had taken Drama course, 94 had taken Dance course, 58 had taken a Singing course, 28 had taken Drama and singing course, 26 had taken Drama and dance course, 22 had taken Dance and singing course, and 14 had taken all the three courses. Find how many have taken only one course?
Eight friends— A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. Each one of them likes different brands of television—Onida, Sony, Samsung, Micromax, TCL, LG, Toshiba and Sansui, but not necessarily in the same order. A sits third to the right of the person who likes Sansui. A does not like Samsung. E is not an immediate neighbour of H. C sits on the immediate right of the person who likes Samsung.                                     Neither A nor H likes TCL or a Sony. The person who likes TCL is not an immediate neighbour of the person who likes Sansui. The person who likes Onida sits second to the left of E. The person who likes Onida is an immediate neighbour of the both persons who like LG and Toshiba. Person who likes Toshiba sits third to the right of B. B does not like TCL. F is not an immediate neighbour of A. G is not an immediate neighbour of the person who likes Onida. Only two people sit between the person who likes Toshiba and H. The persons who like TCL and the Sony are immediate neighbours of each other. Which of the following brands of television is liked by H?
The death toll would ......much higher if immediate action had not been taken.
There are multiple routes to reach from node 1 to node 2, as shown in the network. The cost of travel on an edge between two nodes is given in rupees. Nodes ‘a’, ‘b’, ‘c’, ‘d’, ‘e’, and ‘f’ are toll booths. The toll price at toll booths marked ‘a’ and ‘e’ is Rs. 200, and is Rs. 100 for the other toll booths. Which is the cheapest route from node 1 to node 2?
In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow(s) for pursuing. Statement: Soon you would not need to carry original copies of all vehicle papers like driving licence, vehicle registration certificate, insurance, pollution certificate or the permits issued to commercial vehicles with you. According to a ToI report, the Centre plans to amend Motor Vehicles Rules to make it legal for any citizen to carry digital vehicle documents and simultaneously making it compulsory for traffic police to accept digital version of documents. This means that you would not have to carry physical papers in your vehicle as digital copies of the certificates would be valid.  Courses of action: I. The ministry has proposed installation of FASTags on the front windscreens. FASTag is a device that uses radio frequency identification (RFID) technology for making toll payments directly from the user account.  II. To avail the facility, one has to store all the vehicle documents on the government's cloud-based service DigiLocker and when asked he/she can simply display the stored certificates on a smartphone or any other digital devices. These digital copies can be shared with other departments as identity and address proof.  III. The government has increased the maximum load carrying capacity of heavy vehicles, including trucks, by 20-25 per cent besides scrapping the mandatory annual renewal of fitness certificates for freight carriers. Fitness certificates for trucks would now be renewed in every two years not annually.  Which of the following course/courses of action can be said to be said to be a rudimentary course/courses of action?
The following pie-chart shows the sources of funds to build an expressway. If toll collection is outsourced to an agent. How much will the agent need to collect as toll if his commission is 10% of the toll collection?
In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the five combinations is correct. 1 - Henchard's wife acted for the best, but she had involved herself in difficulties. P - But she had refrained.  Q - A hundred times she had been upon the point of telling her daughter Elizabeth-Jane the true story of her life, the tragical crisis of which had been the transaction at Weydon Fair, when she was not much older than the girl now beside her. R - An innocent maiden had thus grown up in the belief that the relations between the genial sailor and her mother were the ordinary ones that they had always appeared to be. S - The risk of endangering a child's strong affection by disturbing ideas which had grown with her growth was to Mrs. Henchard too fearful a thing to contemplate. 2 - It had seemed, indeed folly to think of making Elizabeth-Jane wise.   
The following sentences form a paragraph.They are numbered as P, Q, R and S. These four parts are not given in their proper order. Read the sentences and choose the alternative that arranges them in correct order. P. It uses radio frequency identification (RFID) technology to make cashless payments through a prepaid account linked to it. Q. The tag, which is valid for five years, comes in seven different colours — violet, orange, yellow, green, pink, blue, black. Each colour is assigned to a particular category of vehicles. R. A FASTag is a reloadable tag that automatically deducts toll charges and allows a vehicle to pass through a toll gate without stopping for the payment. S. The tag is fixed to the windscreen of a vehicle and an RFID antenna in the canopy of the toll gate scans the QR code and the tag identification number, following which the boom barrier lifts to allow a vehicle to pass through.
Five bells begin to toll together and they toll at intervals of 6, 5, 7, 10 and 12 seconds respectively. How many times they toll together in one hour excluding the one at the start ?