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Question 1Jill’s little brother Tom also wants to work in the shop, but her father says he is too young. Jill’s fatheris four times Tom’s age, and Jill is 7 years older than Tom. In 20 years, Jill’s father will only be twiceTom’s age. How old are they all?A. 9, 16 and 39B. 10, 17 and 40C. 15, 17 and 40D. 15, 17 and 45E. 15, 17 and 60Question 2A customer comes in and asks for change for a dollar. Jill has the largest number of coins possible tohave without them being enough to make up a full dollar. How many coins does she have?A. 1B. 2C. 4D. 18E. 19Question 3At the start of the day, she had seven blue shirts in stock. Over the course of the day she sold all butfive of them. How many blue shirts were left?A. 2B. 3C. 5D. 6E. 7Question 4A customer wants to buy a pair of cufflinks. The shop has eight pairs of silver cufflinks and eight pairsof mother of pearl cufflinks in a drawer, but they are all mixed-up. If the customer takes them out oneat a time without seeing inside of the drawer, how many will she have to take out before she has amatching pair?A. 2B. 3C. 4D. 5E. 6Time Allowed: 30 minTime Allowed: 30 minYear 8 Simulation Test - Verbal ReasoningYear 8 Simulation Test – Verbal Reasoning © JAC COM Victoria Page2Question 5Jill finds helping customers gratifying and finds restocking and shelving monotonous.Which one does she prefer?A. Helping customersB. Restocking and shelvingC. BothD. NeitherE. Impossible to sayQuestion 6Jill is meant to go home at 3.30pm, when one of her father’s part-time employees comes in. But theemployee is late, and she leaves at 3.51.The store’s clock is digital and in 24 hour time. If you turned his clock upside down, what time would itsay?A. 1530B. 1280C. 1580D. 1551E. 1221

Question

Question 1Jill’s little brother Tom also wants to work in the shop, but her father says he is too young. Jill’s fatheris four times Tom’s age, and Jill is 7 years older than Tom. In 20 years, Jill’s father will only be twiceTom’s age. How old are they all?A. 9, 16 and 39B. 10, 17 and 40C. 15, 17 and 40D. 15, 17 and 45E. 15, 17 and 60Question 2A customer comes in and asks for change for a dollar. Jill has the largest number of coins possible tohave without them being enough to make up a full dollar. How many coins does she have?A. 1B. 2C. 4D. 18E. 19Question 3At the start of the day, she had seven blue shirts in stock. Over the course of the day she sold all butfive of them. How many blue shirts were left?A. 2B. 3C. 5D. 6E. 7Question 4A customer wants to buy a pair of cufflinks. The shop has eight pairs of silver cufflinks and eight pairsof mother of pearl cufflinks in a drawer, but they are all mixed-up. If the customer takes them out oneat a time without seeing inside of the drawer, how many will she have to take out before she has amatching pair?A. 2B. 3C. 4D. 5E. 6Time Allowed: 30 minTime Allowed: 30 minYear 8 Simulation Test - Verbal ReasoningYear 8 Simulation Test – Verbal Reasoning © JAC COM Victoria Page2Question 5Jill finds helping customers gratifying and finds restocking and shelving monotonous.Which one does she prefer?A. Helping customersB. Restocking and shelvingC. BothD. NeitherE. Impossible to sayQuestion 6Jill is meant to go home at 3.30pm, when one of her father’s part-time employees comes in. But theemployee is late, and she leaves at 3.51.The store’s clock is digital and in 24 hour time. If you turned his clock upside down, what time would itsay?A. 1530B. 1280C. 1580D. 1551E. 1221

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Solution

Sure, let's go through each question step by step.

Question 1

Jill’s father is four times Tom’s age, and Jill is 7 years older than Tom. In 20 years, Jill’s father will only be twice Tom’s age. How old are they all?

Let's denote:

  • Tom's age as T T
  • Jill's age as J J
  • Jill's father's age as F F

From the problem, we have the following relationships:

  1. F=4T F = 4T (Jill’s father is four times Tom’s age)
  2. J=T+7 J = T + 7 (Jill is 7 years older than Tom)
  3. In 20 years, Jill’s father will be twice Tom’s age: F+20=2(T+20) F + 20 = 2(T + 20)

Let's solve these equations step by step.

From equation 3: F+20=2(T+20) F + 20 = 2(T + 20) F+20=2T+40 F + 20 = 2T + 40 F=2T+20 F = 2T + 20

We also know from equation 1: F=4T F = 4T

So, we can set the two expressions for F F equal to each other: 4T=2T+20 4T = 2T + 20 4T2T=20 4T - 2T = 20 2T=20 2T = 20 T=10 T = 10

Now, we can find F F using F=4T F = 4T : F=4×10=40 F = 4 \times 10 = 40

And we can find J J using J=T+7 J = T + 7 : J=10+7=17 J = 10 + 7 = 17

So, Tom is 10 years old, Jill is 17 years old, and their father is 40 years old. The correct answer is: B. 10, 17 and 40

Question 2

A customer asks for change for a dollar. Jill has the largest number of coins possible without them being enough to make up a full dollar. How many coins does she have?

To have the largest number of coins without making a full dollar, Jill can have 99 cents in coins. The best way to maximize the number of coins is to use the smallest denominations.

  • 99 pennies (1 cent each) would be 99 coins, but that makes a full dollar.
  • 3 quarters (75 cents) + 2 dimes (20 cents) + 4 pennies (4 cents) = 99 cents, which is 9 coins.
  • 3 quarters (75 cents) + 2 dimes (20 cents) + 3 nickels (15 cents) + 4 pennies (4 cents) = 99 cents, which is 12 coins.

However, the maximum number of coins without making a full dollar is 18 coins:

  • 3 quarters (75 cents) + 4 dimes (40 cents) + 4 nickels (20 cents) + 4 pennies (4 cents) = 99 cents, which is 18 coins.

So, the correct answer is: D. 18

Question 3

At the start of the day, she had seven blue shirts in stock. Over the course of the day, she sold all but five of them. How many blue shirts were left?

If she sold all but five, it means she sold 2 shirts (7 - 5 = 2). Therefore, she has 5 blue shirts left.

So, the correct answer is: C. 5

Question 4

A customer wants to buy a pair of cufflinks. The shop has eight pairs of silver cufflinks and eight pairs of mother of pearl cufflinks in a drawer, but they are all mixed-up. If the customer takes them out one at a time without seeing inside the drawer, how many will she have to take out before she has a matching pair?

To ensure a matching pair, the worst-case scenario is that she picks one of each type until she gets a match. Since there are only two types (silver and mother of pearl), she would need to pick at most 3 cufflinks to guarantee a matching pair.

So, the correct answer is: B. 3

Question 5

Jill finds helping customers gratifying and finds restocking and shelving monotonous. Which one does she prefer?

Since Jill finds helping customers gratifying and restocking and shelving monotonous, she prefers helping customers.

So, the correct answer is: A. Helping customers

Question 6

Jill is meant to go home at 3.30 pm, but she leaves at 3.51 pm. The store’s clock is digital and in 24-hour time. If you turned the clock upside down, what time would it say?

If the clock shows 1551 (3:51 pm in 24-hour time) and you turn it upside down, it would read as 1551 (since the digits 1, 5, and 5 are symmetrical and 1 remains 1 when flipped).

So, the correct answer is: D. 1551

This problem has been solved

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