IIFT2017QuestionPaper Related Question Answers
76. Swarn a SME enterprise borrowed a sum of money from a nationalized bank at 10% simple interest per annum and the same amount at 8% simple interest per annum from a microfinance firm for the same period: It cleared the first loan 6 months before the scheduled date of repayment and repaid the second loan just at the end of the scheduled period: If in each case it had to pay Rs. 62100 as amount then how much money and for what time period did it borrow?
77. A rectangular plank $$\sqrt{10}$$ metre wide, is placed symmetrically along the diagonal of a square of side 10 metres as shown in the figure. The area of the plank is:
78. Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5 days of start and Somesh left 2 days before the completion of the work. In how many days will the work be completed?
81. A Pharmaceutical company produces two chemicals X and Y, such that X consists of 5% salt A and 10% salt B and Y consists of 10% salt A and 6% salt b: For producing the chemicals X and Y, the company requires at least 7 gm of Salt A and at least 7 gm of Salt b:If chemical X costs Rs. 10.50 per gm and chemical Y costs Rs. 7.80 per gm, what is the minimum cost at which the company can meet the requirement by using a combination of both types of chemicals?
82. Suntex Company plans to manufacture a new product line of Razor next year and sell it at a price of Rs. 12 per unit.The variable costs per unit in each production run is estimated to be 50%.of the selling price, and the fixed costs for each production run is estimated to be Rs. 50,400. Based on their estimated costs bow many units of the new product will company Suntex need to manufacture and sell in order for their revenue to be equal to their total costs for each production run?
83. In a certain sequence the term $$x_{n}$$ is given by formula $$x_{n}=5x_{n-1} - \frac{3}{4}x_{n-2}$$ for $$n\geq2$$. What is the value of $$x_{3}$$, if $$x_{0}=4$$ and $$x_{1}=2?$$
84. A mobile company that sells two models ACN-I and ACN-II of mobile, reported that·revenues from ACN-I in 2016 were down 12% from 2015 and revenue from ACN-II sales in 2016 were up by 9% from 2015. If the total revenues from sales of both the mobile models ACN-I and ACN-II in 2016 were up by 3% from 2015, what is the ratio of revenue from ACN-I sales in 2015 to revenue from ACN-II sales in 2015?
85. If $$10^{67}- 87$$ is written as an integer in base 10 notation, what is the sum of digits in that integer? ·
86. A flag pole on the top of a mall building is 75 m high. The height of the mall building is 325 m. To an observer at a height of 400 m, the mall building and the pole subtend equal angle $$\theta$$. If the horizontal distance of the observer from the pole is 'x', then what is the value of x?
87. Witrex Brown, an E-commerce company gives home delivery of its valuable products after receiving final order on their website by different modes of transportation like bike, scooter, tempo and truck. The probabilities of using bike, scooter, tempo and truck are respectively 2/9, 1/9, 4/9 and 2/9. The probabilities of his delivering the product late to the destination by using these modes of transport are 3/5, 2/5, 1/5 and 4/5. If the product reach to the destination in time, find the probability that be has used scooter to reach the office.
88. A pest control person uses a particular machine for his job, it moves along the circumference of a circular hall of radius 49 metres in 148 minutes to finish the pest control. How many minutes more will it take him to move along the perimeter of a hexagon of side 54 metres?
89. A premier B-school, which is in process of getting an AACSB accreditation, has 360 second year students. To incorporate sustainability into their curriculum, it has offered 3 new elective subjects in the second year namely Green Supply Chain, Global Climate Change & Business and Corporate Governance. Twelve students have taken all the three electives, and 120 students have taken Green Supply Chain. There are twice as many students who study Green Supply Chain and Corporate Governance but not Global Climate Change & Business, as those who study both Green Supply Chain and Global Climate Change & Business but not the Corporate Governance, and 4 times as many who study all the three. 124 students.study Corporate Governance. There are 72 students who could not muster up the courage to take up any of these subjects. The group of students who study both Green Supply Chain and Corporate Governance but not Global Climate Change & Business is exactly the same as the group made up of the students who study both Global Climate Change & Business and Corporate governance. How many students study Global Climate Change & Business only?
90. Ramesh and Sohan start walking away from each other from a point P at an angle of 120°. Ramesh walks at a speed of 3 km/hour while Sohan walks at a speed of 4 km/hour. What is the distance between them after 90 minutes?
91. A chord AB of length 24 cm is drawn in a circle of radius 13cm.Find the area of the shaded portion APB.
92. Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT =55°, find the angle AOB= ?
93. The coordinates of a triangle ABC are A(1, 5), B(-2, 3), and C(0,-4); find the equation of the median AD? ·
94. The Drizzle Pvt. Ltd:, a squash company has 2 cans of juice. The first contains 25% water and the rest is fruit pulp. The second contains 50% water and rest is fruit pulp: How much juice should be mixed from each of the containers so as to get 12 litres of juice such that the ratio of water to fruit pulp is 3:5?
95. An overhead tank, which supplies water to a settlement, is filled by three bore wells. First two bore wells operating together fill the tank in the same time as taken by third bore well to fill it. The second bore well fills the tank 10 hours faster then the first one and 8 hours slower than the third one. The time required by the third bore well to fill the tank alone is:
96.
Exhibit I as under provides the data of India's Merchandize Imports (Billion US Dollar) on left axis and Percentage of Food: Fuel, Manufactures and Ores & Metals lmports of India's on the right axis. Similarly; Exhibit 2 provides data of India's Merchandize Exports (Billion US Dollar) on left axis and Percentage exports of Food, Fuel, Manufactures and Ores & Metals on the right axis. Attempt the questions in the context of information provided as under:A.Trade Balance = Import Minus Exports
b:Trade Deficit If Imports are more than Exports
c:TradeSurplus= If Exports are more than ImportsExhibit 1: India's Total Merchandize Imports (US Dollar in Billion) and Percentage Imports of Food, Fuel, Manufacturers and Ores and Metals (2012 - 2016)
Exhibit 2: India's Total Merchandize Exports (US Dollar in Billion) and Percentage Exports of Food, Fuel, Manufacturers and Ores and Metals (2012 - 2016)
What shall be approximate Manufactures exportS of India in ihe year 2016 based on average exports for the period 2012-2016?
97. What is the proportion of positive and negative Manufactures trade balance in the period 2012-2016 ?
99. Assuming India's imports and exportS grow by 10% in 2017 and sectoral share of fuel in both importS andexports grow by 5 percentage basis, what shall be theapproximate deficit of fuel trade in the year 2017?
100. Assuming India's absolute trade deficit grows b·y S4 Billion USDollar and exportSbecome 324 Billion US Dollar in the year 2017. What shall be India's absolute importSoffood and fuel in 2017 if sectoral composition of food, fuel, manufactures, ores and metals remain· same as that of2016?
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