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Quantitative Methods
Price of the ticket for movie THE LORD OF RINGS in a cinema is Rs.50. When the price of the ticket was lowered, the number of visitors increased by 60% and the box office collection increased by 36%. Find the reduction in the ticket price.
A man bought 1,000 shares each of face value Rs. 5 at Rs. 7 per share. At the end of the year, the company declared a dividend of 8%. Calculate
(a) the amount of money invested by the man.
(b) the percentage return on his outlay, correct to nearest paise.
A man bought 1,000 shares each of face value Rs. 5 at Rs. 7 per share. At the end of the year, the company declared a dividend of 8%. Calculate
(a) the amount of money invested by the man.
(b) the percentage return on his outlay, correct to nearest paise.
Quantitative Methods
A Bombay merchant has to remit some money to England. A moneychanger takes 8 paise more than the bank rate per rupee. The merchant reckons that he needs Rs. 2764, if he converts his money through the changer, and he needs Rs. 2740 through the bank for sending the same amount of English money. What is the bank rate of exchange in rupees?
2.A classroom has 26 rows (From A to Z), each row is divided in three columns and each column has five seats. To enter in the class, four doors (D1, D2, D3 and D4) are available and reaching up to the door two stairs (LH & RH) are available. A student wants to take the seat in the row C, F or P and then in how many ways he can get the seat.
3.If, (P- 1)/9 = r, where r is triangular no and can be maximum of four digit no. What is the probability that P is a perfect number?
2.A classroom has 26 rows (From A to Z), each row is divided in three columns and each column has five seats. To enter in the class, four doors (D1, D2, D3 and D4) are available and reaching up to the door two stairs (LH & RH) are available. A student wants to take the seat in the row C, F or P and then in how many ways he can get the seat.
3.If, (P- 1)/9 = r, where r is triangular no and can be maximum of four digit no. What is the probability that P is a perfect number?
Quantitative Methods
The following two samples are of two classes of students taking the same course. One group of students takes the same course in the morning and the second group takes the class in the evening. The grade distributions are as follows:
ID Morning Group Evening Group
1 15 5
2 13 4
3 14 5
4 15 3
5 12 10
6 12 1
7 11 2
8 12 3
9 11 4
10 10 5
Carry a t-test to see any difference between the morning and evening groups. Use Excel to find the p-value and indicate whether the results are significantly different or not.
ID Morning Group Evening Group
1 15 5
2 13 4
3 14 5
4 15 3
5 12 10
6 12 1
7 11 2
8 12 3
9 11 4
10 10 5
Carry a t-test to see any difference between the morning and evening groups. Use Excel to find the p-value and indicate whether the results are significantly different or not.
Quantitative Methods
write an algorithm whose input is a sequence s1...sn sorted in nondecreasing order and a value x. the algorithm inserts x into the sequence so that the resulting sequence is sorted in nondecreasing order
Quantitative Methods
The bulbs manufactured by a company gave a mean life of 3000 hours with standard
deviation of 400 hours. If a bulb is selected at random, what is the probability it will
have a mean life less than 2000 hours?
Question:
1) Calculate the probability.
2) In what situation does one need probability theory?
3) Define the concept of sample space, sample points and events in context of
probability theory.
4) What is the difference between objective and subjective probability?
deviation of 400 hours. If a bulb is selected at random, what is the probability it will
have a mean life less than 2000 hours?
Question:
1) Calculate the probability.
2) In what situation does one need probability theory?
3) Define the concept of sample space, sample points and events in context of
probability theory.
4) What is the difference between objective and subjective probability?
Quantitative Methods
An Automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that the auto dealer will need to order more new transmissions?
Quantitative Methods
the following probabilities for grades in management science have been determined based on past records. The grades are assigned on a 4.0 scale, where A is a 4.0, a B is a 3.0, and so on.
Determine the expected grade and variance for the course.
Determine the expected grade and variance for the course.
Quantitative Methods
p(1) = 0
p(-2) = 0
p(4) = 8
p(3/2) = 0
p(2) = ?
p(-2) = 0
p(4) = 8
p(3/2) = 0
p(2) = ?
Quantitative Methods
Prove that O(log n!) = O(log n)
Quantitative Methods
Prove that O(log n) = ln n
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