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### Mathematical Skills | Simple Equations

 Q. No. 1: The number of gift pack bought by Dishu is one more than the price, in rupees, of each gift pack. The amount of Rs 380 which Dishu had, fell short of the required amount. What is the amount by which he might have fallen short. A : 20 B : 40 C : 21 D : 10 Solution
 Q. No. 2: Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of 1/400*{[100/x] + x} litres per km, when driven at the speed of x km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800kms? A : 49 B : 55 C : 50 D : 53 Solution
 Q. No. 3: Three business entities X Ltd, Y Ltd. and Z Ltd, with 4, 3 and 5 employees respectively, merged intoXYZ Ltd in order to jointly raise the capital for setting up a new modern production plant in Jaipur.After two years, on the question of management decisions on the new venture at Jaipur, the employeesstarted adopting differing viewpoints and began to quarrel among themselves. Given the factthat there is not quarrel among the employees of the erstwhile X Ltd, Y Ltd and Z Ltd, what could bethe maximum number of quarrels that can take place within XYZ Ltd? A : 31 B : 53 C : 47 D : 41 Solution
 Q. No. 4: F(x) is a fourth order polynomial with integer coefficients and with no common factor. The roots of F(x) are –2, –1, 1, 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is: A : 72 B : 120 C : 240 D : 360 Solution
 Q. No. 5: A shop sells two kinds of rolls- egg roll and mutton roll. Onion, tomato, carrot, chilli sauce and tomato sauce are the additional ingredients. You can have any combination of additional ingredients, or have standard rolls without any additional ingredients subject to the following constraints: (a) You can have tomato sauce if you have an egg roll, but not if you have a mutton roll.(b) If you have onion or tomato or both you can have chilli sauce, but not otherwise.How many different rolls can be ordered according to these rules? A : 21 B : 33 C : 40 D : 42 Solution
 Q. No. 6: In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is A : 88 B : 96 C : 102 D : 112 Solution
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