Problems And Solutions SEAMO PAPER B 2017

11. Michelle asks her aunt,
“How old are you?”
Her aunt replies,
“When I was your age, you were only 3 years old. By the time you reach my age, I will be 39.”
How old is Michelle’s aunt?
(A) 25
(B) 26
(C) 27
(D) 28
(E) None of the above

12. A number leaves a remainder of 2 when divided by 3. It leaves a
remainder of 1 when divided by 4. What is the remainder it leaves when divided by 12?
(A) 2
(B) 3
(C) 4
(D) 5
(E) None of the above

13. A, B and C are balls of different weights.

In Fig. 3, what must be added to the pan on the right-hand side to make it balanced?
(A) 2B
(B) 2C
(C) 1A and 2B
(D) 1A and 2C
(E) None of the above

14. A game of numbers involves 2 players and 2017 beads.
At every turn, a player must remove between 1 to 4 beads. The player who is left with the last bead loses.
How many beads must the first player remove at the start of the game in order to win?
(A) 1
(B) 2
(C) 3
(D) 4
(E) None of the above

15. At first, the amount of milk in Barrel A was twice that in Barrel B. After 20 litres of milk was removed from each barrel, the amount of milk in Barrel A was thrice that in Barrel B. What was the amount of milk (in litres) in Barrels A and B, respectively, at the beginning?
(A) 30 and 60
(B) 80 and 40
(C) 50 and 100
(D) 100 and 200
(E) None of the above

16. The figure shows a square of sides 10 cm. The area of rectangle EFGH is
8 cm². Find the area of the quadrilateral ABCD in cm².

(A) 40
(B) 42
(C) 44
(D) 46
(E) None of the above

17. The figure shows 2 squares ABCD and DEFG . The length of the sides are 5 cm and 3 cm, respectively. Find the area of the shaded region ACEF in cm².

(A) 9.0
(B) 9.5
(C) 10.0
(D) 12.0
(E) None of the above

18. Shi Ting’s piano examination is coming.
In order to motivate her, her mom will give her 8 chocolate bars on days she practices 30 minutes or more. She will be given only 5 chocolate bars if she practices for less than 30 minutes on any particular day. Suppose she practices for 18 days and has earned a total of 53 chocolate bars, on how many days did she fall short of the 30- minute mark?
(A) 5
(B) 6
(C) 7
(D) 8
(E) None of the above

19. In 2017, 5th August falls on a Saturday. On which day of the week will 1st January 2018 fall?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) None of the above

20. A car travelled from Town A to Town B at a speed of 90 km/h. It then returned at a speed of 60 km/h. What was the average speed of the car for the whole trip?
(A) 68 km/h
(B) 70 km/h
(C) 72 km/h
(D) 75 km/h
(E) None of the above