Round 3

A train leaves station A at 8:00 AM and travels towards station B at 60 km/hr. Another train leaves station B at 9:00 AM and travels towards station A at 75 km/hr. At what time will they meet?

• A) 10:00 AM

• B) 10:30 AM

• C) 11:00 AM

• D) 11:30 AM

A bag contains 5 red balls, 4 green balls, and 3 blue balls. If a ball is randomly drawn from the bag, what is the probability that it is neither red nor blue?

• A) 1/3

• B) 2/5

• C) 3/5

• D) 4/5

A boat covers a certain distance downstream in 2 hours while it takes 3 hours to cover the same distance upstream. If the speed of the stream is 2 km/hr, what is the speed of the boat in still water?

• A) 6 km/hr

• B) 8 km/hr

• C) 10 km/hr

• D) 12 km/hr

A square is inscribed in a circle. What is the ratio of the area of the square to the area of the circle?

• A) π:4

• B) π:2

• C) 2:π

• D) 4:π

The area of a rectangle is 120 square meters. If the length is increased by 50% and the width is decreased by 20%, what is the change in area?

• A) 20%

• B) 25%

• C) 30%

• D) 35%

The sum of the ages of a father and his son is 50 years. Five years ago, the father was five times as old as his son. What are their present ages?

• A) Father: 40 years, Son: 10 years

• B) Father: 45 years, Son: 5 years

• C) Father: 35 years, Son: 15 years

• D) Father: 30 years, Son: 20 years

If 3 pencils and 4 erasers cost $21, while 6 pencils and 8 erasers cost $39, what is the cost of 2 pencils and 3 erasers?

• A) $12

• B) $14

• C) $15

• D) $18

The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 18 less than the original number. What is the original number?

• A) 57

• B) 48

• C) 39

• D) 93

A cube of side 6 cm is cut into smaller cubes of side 2 cm each. What is the ratio of the surface area of the smaller cubes to the surface area of the original cube?

• A) 1:3

• B) 1:6

• C) 1:9

• D) 1:12

A man rows downstream for 5 hours and covers a distance of 75 km. It takes him 10 hours to cover the same distance upstream. What is the speed of the current?

• A) 3 km/hr

• B) 4 km/hr

• C) 5 km/hr

• D) 6 km/hr