Number free essay sample

18 minutes 610 minutes 206 minutes 34 minutes 6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively. What is the average time per call? a. b. c. d. 4 minutes 7 minutes 1 minutes 5 minutes 7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively. What is the median time per call? a. b. c. d. 5 minutes 7 minutes 1 minutes 4 minutes 8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and her score is the square of the value shown. What is the probability that Sandra’s score will be strictly higher than Eric’s score? a. b. c. d. 137/216 17/36 173/216 5/6 9. What is the largest integer that divides all three numbers 23400,272304,205248 without leaving a remainder? a. b. c. d. 48 24 96 72 10. Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither like chocolate nor like cricket. How many people like both cricket and chocolate? a. We will write a custom essay sample on Number or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page b. c. d. 7 10 15 18 11. If f(x) = 2x+2 what is f(f(3))? a. b. c. d. 18 8 64 16 12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)? a. b. c. d. (x-12)/7 7x+12 1/(7x+12) No inverse exists 13. A permutation is often represented by the cycles it has. For example, if we permute the numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132) says that the first number has gone to the position 3, the third number has gone to the position 2, and the second number has gone to position 1, and (5 4) means that the fifth number has gone to position 4 and the fourth number has gone to position 5. The numbers with brackets are to be read cyclically. If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented as (1345)(2). We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1 5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5) If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times must it be applied before the numbers appear in their original order)? a. b. c. d. 12 7 7! (factorial of 7) 14 14. What is the maximum value of x3y3 + 3 x*y when x+y = 8? a. b. c. d. 4144 256 8192 102 15. Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The distance BC in cms is? a. b. c. d. ?60 ?62 ?68 ?64 16. In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table 3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha, Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which table are determined by the following constraints: a. Chitra does not sit at the same table as Govind. b. Eesha does not sit at the same table as David. c. Farooq does not sit at the same table as Chitra. d. Akash does not sit at the same table as Babu. e. Govind does not sit at the same table as Farooq. Which of the following is a list of people who could sit together at table 2? a. b. c. d. Govind, Eesha, Akash Babu, Farooq, Chitra Chitra, Govind, David. Farooq, David, Eesha. 17. There are a number of chocolates in a bag. If they were to be equally divided among 14 children, there are 10 chocolates left. If they were to be equally divided among 15 children, there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are added to the bag. What is the remainder when the minimum feasible number of chocolates in the bag is divided by 9? a. b. c. d. 2 5 4 6 18. Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values of m and n)? a. b. c. d. 9 6 5 18 19. What is the largest number that will divide 90207, 232585 and 127986 without leaving a remainder? a. b. c. d. 257 905 351 498 20. We have an equal arms two pan balance and need to weigh objects with integral weights in the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in any pan. . (i. e) some weights can be in a pan with objects and some weights can be in the other pan. The minimum number of standard weights required is: a. b. c. d. 4 10 5 6 21. A white cube(with six faces) is painted red on two different faces. How many different ways can this be done (two paintings are considered same if on a suitable rotation of the cube one painting can be carried to the other)? a. b. c. d. 2 15 4 30 22. How many divisors (including 1, but excluding 1000) are there for the number 1000? a. b. c. d. 15 16 31 10 23. In the polynomial f(x) =2*x^4 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)? a. b. c. d. 27,0 54,2 49/2,54 49,27 24. In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers. If 3 + sqrt(7) is a root, which of the following must be also a root? (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of u, or the number which when multiplied by itself, gives the number u)? a. b. c. d. 3-sqrt(7) 3+sqrt(21) 5 sqrt(7) + sqrt(3)