Quantitative Methods Answers

In eight hours A walks twelve km more then B does in seven hours; and in thirteen hours B walks seven km more then A does in nine hours. How many km does each walk per hour?

A man spends Rs 3,500 and saves 12-1/2% of his monthly income. His monthly income is

Let A be a set of distinct positive integers. If the arithmetic mean (average) of the elements of A is 25, what is the maximum possible value of an element in A?

The number C=13 x 72 + 26. Without computing the value of C, explain whether or not C is divisible by 13.

Suppose you want to introduce a third grader to the standard algorithm for computing 181 + 331. Explain how to find the sum with base-ten blocks following the same sequence of steps as the standard algorithm.

Mrs.S invests a part of Rs.144,000 in 12% stock having face value of Rs.100 at a price of Rs.120 and the remainder in 15% stock having face value of Rs.100 at a price of Rs.125. If his total dividend per annum is Rs.16,320 how much does she invest in 12% stock at Rs.120??

Que-1. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability that out of 5 such bulbs
a. None fuses
b. Not more than 2 fuse
c. More than 2 fuse

Que-2. A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.

Que-3. The ages of husbands and wives in a community were found to have a correlation coefficient equal to +0.8; the average of husbands’ ages was 25 years and that of wives’ ages 22 years; their standard deviations were respectively 4 and 5 years. Find the two lines of regression and from the lines ,measure
a. The expected age of husband when wife’s age is 12 years
b. The expected age of wife when husband’s age is 33 years

let f(x)=cosx
xo=0,x1=.6,x2=.9
find linear and quadratic interpolation

You are given a diabetes data set (http://archive.ics.uci.edu/ml/datasets/Pima+Indians+Diabetes). You are required to build a classification model to predict if a test result is positive or negative. (16)
(a) Explain the method you are going to use.
(b) Describe the data set and possible data pre-processing.
(c) Explain the process for classification model building.
(d) Show and explain your model.
(e) Discuss the accuracy of your model.

A tank was 1/2 full of water.after 420 gaallons had been taken out it was 1/8 full.Find the capacity of the tank.