MATH 56

A vendor goes to market to buy fruits for resale at his store. He spends half his money for mangoes, and one-third of what remains for bananas. He spends 150 for other fruits and still has 200 left from the amount he originally had. How much money did he have at the start?

• a. 1050

• b. 5100

• c. 1500

• d. 1250

Seven carpenters and 5 masons earn a total of 2,300 per day. At the same rate of pay 3 carpenters and 8 masons earn 2,040. What are the wages per day of the carpenter and a mason?

• a. 200 & 180

• b. 300& 210

• c. 210& 170

• d. 270 &150

A man and a boy can do 15 days a piece of work which would be done by 7 men and 9 boys in 2 days. How long would it take one man do it alone?

• a. 20 days

• b. 30 days

• c. 15 days

• d. 40 days

A certain two-digit numbers is 1 less than five times the sum of its digits. If 9 were added to the number, its digits would be reversed. Find the number.

• 34

• 36

• 63

• 43

If one root of 9x^2 – 6x + k = 0 exceed the other by 2, find the value of k.

• 8

• 6

• -8

• -6

Solve: √(2x – 5) – √(x – 2) = 2.

• 3

• 18

• 9

• 27

A speed boat going across a lake 8 km wide proceeds 2 km at a certain speed and then completes the trip at a speed ½ km/hr faster. By doing this, the speed arrives 10 minutes earlier than if the original speed had been maintained. Find the original speed of the speed boat.

• a. 5 km/hr.

• b. 4 km/hr.

• c. 7 km/hr.

• d. 6km/hr.

An audience of 540 people is seated in rows having the same number of persons in each row. If 3 more persons seat in each row, it would require 2 rows less to seat the audience. How many persons were in each row originally?

• 17

• 37

• 27

• 47

Find the third proportional to 4 and 12.

• 16

• 26

• 36

• 46

How many terms of the progression 4, 7, 10, 13, … must be taken so that the sum will be 69.

• 6

• 9

• 8

• 12