RCAT Problem Solving

Question 1

A farmer has 17 sheep. All but 9 die. How many are left?

Accepted Answer

9

Answer

8

Answer

17

Answer

0

Question 2

You have a 3-liter jug and a 5-liter jug. How do you measure exactly 4 liters using only these two jugs and a water source?

Accepted Answer

Fill 5L, pour into 3L, discard 3L, pour remaining 2L into 3L, fill 5L again, top up 3L (need 1L) leaving 4L in 5L

Answer

Fill 3L twice into 5L leaving 1L, discard, repeat

Answer

Fill both and combine

Answer

Cannot be done

Question 3

A snail climbs 3 meters up a 10-meter wall each day but slides back 1 meter each night. How many days to reach the top?

Accepted Answer

5 days

Answer

4 days

Answer

10 days

Answer

7 days

Question 4

There are 12 people in a room. Each person shakes hands with every other person exactly once. How many handshakes occur?

Accepted Answer

66

Answer

144

Answer

132

Answer

72

Question 5

A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost?

Accepted Answer

$0.05

Answer

$0.10

Answer

$1.00

Answer

$0.50

Question 6

How many times does the digit '1' appear in numbers from 1 to 100?

Accepted Answer

21

Answer

20

Answer

11

Answer

19