1.
Debbie, Kimi, and Michael have Ferraris.
Michael also has a Reliant Robin.
Jensen has a Mercedes and a Model T.
Rubens also has a Mercedes.
Debbie also has a Bugatti Veyron.
Rubens has just bought a Toyota Prius.
Who has the least cars?
Correct Answer
B. Kimi
Explanation
Kimi has the least cars because the information given does not state that she has any other cars besides the Ferrari. Debbie has a Bugatti Veyron in addition to her Ferrari, Michael has a Ferrari and a Reliant Robin, Jensen has a Mercedes and a Model T, and Rubens has a Mercedes and a newly bought Toyota Prius. Therefore, Kimi has the least cars out of all the mentioned individuals.
2.
One third of a number is four times eleven.
What is half of that number?
Correct Answer
E. 66
Explanation
If one third of a number is four times eleven, we can first find the number by multiplying four by eleven and then multiplying the result by three. Four times eleven is forty-four, and three times forty-four is one hundred and thirty-two. The question asks for half of that number, so we divide one hundred and thirty-two by two, which gives us sixty-six. Therefore, the correct answer is 66.
3.
Jensen, Lewis, and Mika need to be able to run 100m in under 12.5 seconds to qualify for a championship.
Lewis and Mika run faster than Jensen.
Jensen's best time for the 100m in 13.1 seconds.
Which of the following MUST be true?
Correct Answer
B. Jensen Doesn't Qualify
Explanation
Jensen's best time for the 100m is 13.1 seconds, which is slower than the required time of under 12.5 seconds. Therefore, it can be concluded that Jensen doesn't qualify for the championship.
4.
Wayne is double the age of Fernando and one third as old as Didier who will be 48 years old in 6 years.
How old is Fernando?
Correct Answer
E. 21
Explanation
Wayne is double the age of Fernando: W = 2F
Didier will be 48 years old in 6 years: D + 6 = 48
From the second piece of information, we found that Didier's current age is: D = 48 - 6 D = 42 years old
Now, we can use the first piece of information to find Wayne's age. Wayne is double the age of Fernando, so: W = 2F
Given that Didier is 42 years old, we need to find Fernando's age. Let's use the information about Didier:
D = 42
Now, let's solve for Fernando's age using the first equation:
W = 2F
We know that W (Wayne's age) is double Fernando's age, and we have D (Didier's age):
W = 2F 42 = 2F
Now, divide both sides by 2 to find Fernando's age:
F = 42 / 2 F = 21
So, Fernando is indeed 21 years old. The previous answer, Fernando being 21, is correct.
5.
Hanif, Horace, Hilary, and Hannah are polyglots.
Hanif and Horace speak Chinese, whereas the others speak Arabic.
Horace and Hannah speak Albanian.
Everyone except Hanif speaks Esperanto.
Who only speaks Arabic and Esperanto?
Correct Answer
C. Hilary
Explanation
Hilary is the only one who speaks Arabic and Esperanto. According to the information given, Hanif and Horace speak Chinese, Hannah speaks Arabic and Albanian, and Horace speaks Albanian as well. It is stated that everyone except Hanif speaks Esperanto, so Hilary must be the one who speaks both Arabic and Esperanto.
6.
Josh the postman has eleven red rubber bands, he gives Sunita three bands.
Sunita now has twice the amount of bands Josh has left.
How many bands did Sunita have at the beginning?
Correct Answer
A. 13
Explanation
Josh initially had 11 rubber bands. He gave 3 bands to Sunita, so he has 11-3 = 8 bands left. Sunita now has twice the amount of bands Josh has left, which means she has 2*8 = 16 bands. Therefore, Sunita had 16 bands at the beginning.
7.
Simon, Cheryl, and Dannii are all going by train to London to watch a singing competition.
Cheryl gets the 2.15 pm train.
Simon's train journey takes 50% longer than Dannii's.
Simon catches the 3.00 train.
Dannii leaves 20 minutes after Cheryl and arrives at 3.25 pm.
When will Simon arrive?
Correct Answer
C. 4:15
Explanation
Simon's train journey takes 50% longer than Dannii's. Dannii leaves 20 minutes after Cheryl and arrives at 3:25 pm. This means Dannii's train journey takes 70 minutes. Since Simon's train journey is 50% longer than Dannii's, his journey would take 105 minutes. Simon catches the 3:00 train, so he will arrive 105 minutes after that, which is at 4:15 pm.
8.
5 bricklayers can lay a total of 50 bricks in 30 minutes.
How many bricklayers will be required to lay a total of 60 bricks in 20 minutes?
Correct Answer
B. 9
Explanation
If 5 bricklayers can lay a total of 50 bricks in 30 minutes, it means that each bricklayer can lay 10 bricks in 30 minutes. To find out how many bricklayers will be required to lay a total of 60 bricks in 20 minutes, we can calculate the number of bricks each bricklayer can lay in 20 minutes by dividing 10 by 30 and then multiplying it by 20. This gives us 6.67 bricks per bricklayer in 20 minutes. Since we cannot have a fraction of a bricklayer, we round up to the nearest whole number, which is 7. However, if we only have 7 bricklayers, they will only be able to lay a total of 49 bricks in 20 minutes. Therefore, we need to have one additional bricklayer, making the total number of bricklayers required to be 9.
9.
An old treasure map has the following instructions:
Stand next to the black rock and face West.
Walk 20 yards and then turn 90 degrees clockwise.
Walk another 10 yards and then turn 45 degrees anticlockwise.
Walk another 15 yards, reverse your direction and walk 5 yards back.
Turn 135 degrees clockwise and walk another 10 yards.
In which direction are you now facing?
Correct Answer
C. N
Explanation
Following the instructions, the initial direction is West. Turning 90 degrees clockwise would make the direction North. Turning 45 degrees anticlockwise would not change the direction, still facing North. Reversing the direction and walking back 5 yards would not change the direction either. Finally, turning 135 degrees clockwise would make the direction East. Therefore, after following all the instructions, you would be facing North.
10.
You work in purchasing for a company & must buy the following 9 cars for the company pool in the next three months. The company is bureaucratic & has a rule that exactly £60,000 must be spent in each of the three months & you are only allowed to buy 3 cars each month. In the first month, you buy the Fiat Uno. Which other 2 cars must you buy that month?
BMW Series 3 £40,000 Lexus £36,000
Volvo Estate £32,000 Ford Focus £14,000
Ford Focus £14,000 Ford Focus £14,000
Skoda Octavia £12,000 Ford Ka £10,000 Fiat Uno £8,000
Correct Answer
E. Skoda & BMW
Explanation
In order to spend exactly Â£60,000 in the first month, you need to choose two cars that, when added to the cost of the Fiat Uno, will total Â£60,000. The cost of the Fiat Uno is Â£8,000, so you need to choose two cars that add up to Â£52,000. The Skoda Octavia costs Â£12,000 and the BMW Series 3 costs Â£40,000, which adds up to Â£52,000. Therefore, the other two cars that must be bought in the first month are the Skoda Octavia and the BMW Series 3.
11.
<p>Athos, Portos and Aramis live in three adjoining houses.<br>
Aramis has a black cat called D'Artagnan,<br>
Portos has a white dog whereas Athos has a red herring.<br>
Portos has a neighbor with a red door.<br>
The owner of a four legged animal has a blue door.<br>
Either a feline or fish owner has a green door.<br>
Aramis and Portos are not neighbours.</p>
<p>Whose door is red?</p>
Athos, Portos and Aramis live in three adjoining houses.
Aramis has a black cat called D'Artagnan,
Portos has a white dog whereas Athos has a red herring.
Portos has a neighbor with a red door.
The owner of a four legged animal has a blue door.
Either a feline or fish owner has a green door.
Aramis and Portos are not neighbours.
Whose door is red?
Correct Answer
C. Athos
Explanation
Athos' door is red because it is stated that Portos has a neighbor with a red door, and since Athos and Portos are not neighbors, the only remaining option is for Athos to have the red door.
12.
Mrs. Krashem, a driving instructor, has to arrange bookings for some of her pupils. She has 8 new pupils who wish to book either a morning or afternoon of a particular day. These are 2-hour introductory lessons, so she only sees one pupil each morning or afternoon.
Ms. Banger is only available Tuesday AM but Mr. Bumpem can make any time on a Wednesday.
Mrs. Exhaust is free on Tuesdays all day but Mr Hilstart is only free Wednesday afternoons.
Ms. Boot is only available Friday AM whereas Miss Bonnet can only make Saturday PM.
Mrs. Speed is available all day Fridays whereas Mr. Parker can make any time on a Saturday
Which of the following must both have MORNING appointments?
Correct Answer
E. Mr. Bumpem & Mr. Parker
Explanation
The correct answer is Mr. Bumpem & Mr. Parker. This is because Mr. Bumpem is only available on Wednesday, and since there are only morning and afternoon slots available, he must have a morning appointment. Similarly, Mr. Parker can make any time on a Saturday, but since the question asks for appointments that must be in the morning, he must also have a morning appointment. Therefore, both Mr. Bumpem and Mr. Parker must have morning appointments.
13.
Mrs. Krashem, a driving instructor has to arrange bookings for some of her pupils. She has 8 new pupils who wish to book either a morning or afternoon of a particular day. These are 2-hour introductory lessons, so she only sees one pupil each morning or afternoon.
Ms. Banger is only available Tuesday AM but Mr. Bumpem can make any time on a Wednesday.
Mrs. Exhaust is free on Tuesdays all day but Mr Hilstart is only free Wednesday afternoons.
Ms. Boot is only available Friday AM whereas Miss Bonnet can only make Saturday PM.
Mrs. Speed is available all day Fridays whereas Mr. Parker can make any time on a Saturday
Which of the following must both have AFTERNOON appointments?
Correct Answer
A. Ms. Exhaust & Mrs. Speed
Explanation
Both Ms. Exhaust and Mrs. Speed must have afternoon appointments because Ms. Exhaust is only available on Tuesdays all day, and Mrs. Speed is available all day on Fridays. Since they cannot have morning appointments due to their availability, they must have afternoon appointments.
14.
How many degrees are there between the two hands of a clock at 6.30 am?
Correct Answer
D. 15
Explanation
At 6:30 am, the minute hand is on the 6 and the hour hand is halfway between the 6 and the 7. This means that the hour hand is pointing at the 6. The angle between the two hands is formed by the difference in their positions. Since the hour hand is pointing at the 6 and the minute hand is pointing at the 3, the angle between them is 90 degrees. However, since the hour hand is halfway between the 6 and the 7, we need to add half of the angle between two numbers on a clock, which is 30 degrees. Therefore, the total angle between the two hands is 90 + 30 = 120 degrees.
15.
You are holding a children's party for 7 children and have asked the children what activities they would like at the party. Because of time constraints, you will ony have time for two activities, but want to make sure that everyone gets either their first or second choice. The children and activity preferences, in order, are as follows. Which two activities should you choose?
Rachel: Face painting Magician Bouncy castle Ball games Disco
Debbie: Bouncy castle Ball games Face painting Magician Disco
Sunita: Magician Face painting Magician Disco Ball games
Ben: Ball games Face painting Disco Magician Bouncy castle
Mia: Disco Magician Face painting Bouncy castle Ball games
Jo: Magician Bouncy castle Disco Face painting Ball games
Amel: Face painting Ball games Bouncy castle Magician Disco
Correct Answer
B. Bouncy Castle & Ball Games
Explanation
Based on the preferences of the children, the two activities that should be chosen are Bouncy Castle and Ball Games. These activities are the first or second choice for every child. By selecting these activities, you ensure that everyone gets to participate in an activity they prefer.
16.
You spend 56 pounds in total on a cactus, a stuffed porcupine and a puncture repair kit. The cactus costs twice as much as the puncture repair kit and the stuffed porcupine double the price of the cactus.
How many pounds did the cactus cost?
Correct Answer
B. 16
Explanation
Let's assume the cost of the puncture repair kit is x pounds. According to the information given, the cactus costs twice as much as the puncture repair kit, so the cactus costs 2x pounds. The stuffed porcupine costs double the price of the cactus, so it costs 2 * 2x = 4x pounds. The total cost of the three items is 56 pounds, so we can write the equation x + 2x + 4x = 56. Simplifying this equation, we get 7x = 56, which means x = 8. Therefore, the cactus costs 2x = 2 * 8 = 16 pounds.
17.
You take seven children to a toy shop to buy each a soft toy. The toy shop only has one of each type so you ask the children their preferences. You decide to give each child one of their preferred toys. Which animal will you give Jezebel?
James: Wombat Panda Gorilla Kitten Rat
Josh: Panda Donkey Dog
Jezebel: Panda Donkey Kitten Dog
Jamelia: Panda Donkey Dog
Janine: Wombat Gorilla Donkey Kitten Rat
Jasbeet: Panda Dog
Jason: Wombat Gorilla Dog Rat Kitten
Correct Answer
D. Kitten
Explanation
Jezebel's preferred toys are Panda, Donkey, Kitten, and Dog. Since there is only one of each toy available, we need to find the toy that is preferred by Jezebel and has not been chosen by any other child. Among Jezebel's preferences, Panda and Donkey have already been chosen by other children. However, Kitten has not been chosen by any other child. Therefore, Jezebel will be given a Kitten soft toy.
18.
A crofter has to get to his herd of sheep quickly as he has been told they are being attacked by a dog. His sheep are on the other side of a steep hill. He can run over the hill (3 miles) at 4 miles an hour, or take his tractor via an old dirt track which is 5 miles at an average of 6 miles an hour or he can drive his car along a very narrow winding road but this is 14 miles and he can only go at 18 miles an hour on average.
Which method should he choose?
Correct Answer
A. Running
Explanation
The crofter should choose running as the method to get to his herd of sheep quickly. Although it is a longer distance compared to the other options, running over the hill is the fastest method with a speed of 4 miles per hour. The tractor and car may cover shorter distances, but their slower speeds of 6 miles per hour and 18 miles per hour respectively make them slower overall. Therefore, running is the most efficient choice in this situation.
19.
Simon, Cheryl, and Dannii are all going by train to London to watch a singing competition.
Cheryl gets the 2.15 pm train.
Simon's train journey takes 50% longer than Dannii's.
Simon catches the 3.00 train.
Dannii leaves 20 minutes after Cheryl and arrives at 3.25 pm.
When will Simon arrive?
Correct Answer
C. 4:15
Explanation
Simon's train journey takes 50% longer than Dannii's. Since Dannii's train journey takes 20 minutes (from 2:35 pm to 3:25 pm), Simon's train journey will take 50% longer, which is 30 minutes. Therefore, Simon's train will arrive at 3:00 pm + 30 minutes = 3:30 pm.