Archive for June, 2015

Problem 799

Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

 

Solution:-

 

\frac{1}{36}

 

 

Problem 798

If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

 

Solution:-

 

\frac{11}{26}

 

Problem 798

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 3  possible answers.

 

Solution:-

\frac{1}{243}

 

Problem 797

Which of the following represents an example of the Fibonacci sequence in nature?

 

Solution:-

broccoli

 

Problem 796

What is the first term of the Fibonacci sequence that is greater than 10?

 

Solution:-

 

13

 

Problem 795

What are the next four terms of the Fibonacci sequence: 1, 1, 2, 3 …?

 

Solution:-

5, 8, 13, 21

 

Problem 794

A pilot flew a jet from city A to city B, a distance of 2400 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 3 h 20 min. What was the speed from city A to city B?

 

Solution:-

1320

Problem 793

Two cyclists, 45 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet1 hr later, at what average speed is each cyclist traveling?

 

Solution:-

Slower cyclist  15 mi/hr

Faster cyclist 30 mi/hr

Problem 792

 

A merchant blends tea that sells for $5.10 a pound with tea that sells for $2.60 a pound to produce 50 lb of a mixture that sells for $3.40 a pound. How many pounds of each type of tea does the merchant use in the blend?

 

Solution:-

 

16   lb (at $5.10/lb)

34

 lb (at $2.60/lb)

 

Problem 791

A pot contains 7 L of brine at a concentration of 90 g/L. How much of the water should be boiled off to increase the concentration to 140 g/L?

 

Solution:-

2.5