אוסף שאלות לוגיות לראיון עבודה בהייטק. מסירים חלודה.

#16

When asked how old she was, Beth replied: "In two years I will be twice as old as I was five years ago". How old is Beth?

12

#17

A farmer has 15 cows, all but 8 die. How many does he have left?

8

#18

The ages of a mother and her graduate son add up to 66. The mother’s age is the son’s age reversed. How old are they?

42 and 24 years old. Another acceptable answer is 51 and 15, though 15 years old is probably to young to be graduate.

#19

Nim went into a supermarket to buy some fruit. There were three packs on special offer:

• 10 grapes 🍇 and 5 strawberries 🍓: 70p (10p discount)
• 10 strawberries 🍓 and 10 peaches 🍑: £2 (40p discount)
• 30 grapes 🍇: £1 (20p discount)

What would be the full price of 1 grape 🍇 + 1 strawberry 🍓 + 1 peach 🍑 at normal price (no discounts)?

28p Calculations without discounts: 30🍇 = £1.20 ➡️ 1🍇 = 4p 10🍇 + 5🍓 = 80p ➡️ 5🍓 = 40p ➡️ 1🍓 = 8p 10🍑 + 10🍓 = £2.40 ➡️ 10🍑 = £1.60 ➡️ 1🍑 = 16p 1🍇 + 1🍓 + 1🍑 = 4p + 8p + 16p = 28p

#20

The amount of water flowing into a tank doubles every minute. The tank is full in an hour. When is the tank half full?

At 59 minutes

#21

There is a pole in a lake . Half of the pole is embedded in the mud at the bottom of the pond, another one third is covered by water, and 7 feet is out of the water. What is the total length of the pole?

42 feet Half of the pole is in the mud. One third is covered by water. Therefore fraction of pole in the mud and water ➡️ 1/2 + 1/3 = 3/6 + 2/6 = 5/6 Therefore fraction of pole out of the water ➡️ 1 - 5/6 = 1/6 So one sixth of the pole is 7 feet. So total length of pole is 42 feet.

#22

If the hour hand of a clock ⌚️ moves 1/60th of a degree every minute, how many degrees will it move in an hour?

1 degree

#23

I spend a third of my money on a guitar 🎸, half the rest on a microphone 🎤 and a quarter of what I then have left on a kazoo. What proportion of my original money do I have left?

A quarter (1/4). After spending 1/3 of my money on the guitar I have 2/3 left. I spend half of this (2/3) on a microphone, so I spend another 1/3 on a mic. I then have 1/3 of my original money remaining. I spend 1/4 of money left (1/4 of 1/3) on the kazoo. 1/4 of 1/3 ➡️ 1/4 * 1/3 = 1/12 So now I only need to subtract the proportion of money I spent on kazoo (1/12) from the proportion of money I had lafe before (1/3). 1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4 Hence I have a quarter (1/4) of money left.

#24

How can you take 1 from 19 and leave 20?

If the numbers are in Roman numerals. Take I from XIX (19 in Roman numerals), you are left with XX - 20 in Roman numerals.

#25

Here is a list of months and a code for each:

• January: 7110
• February: 826
• March: 5313
• April: 541
• May: 3513
• June: 4610
• July: 4710

What is the code for August?

681 The first digit is the number of letters, the second is the position of the month in the calendar, and the final digit is the position of the first letter of the word in the alphabet.

#25

There are 60 sweets in a jar. The first person took one sweet, and each consecutive person took more sweets than the person before, until the jar was empty. What is the largest number of people that could have eaten sweets from the jar?

10 people. We want to achieve the largest amount of people who can possibly take sweets from the jar, and the best way to achieve this is to take smallest amount possible each time. Hence, the first person takes 1 sweet, the second 2, the third 2, etc. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 So the first 9 people take 45 sweets between them. The 10th person takes 15 sweets. He or she can't possibly take fewer than 9, nor leave fewer than 11, else the jar will not be empty but there won't be enough for the next person to follow the rule stated in the question (that each person take more than the one before). So the answer is 10 people.

#26

At the University of Kent 36 students attended the LAW lecture, 39 attended an ART lecture and 37 attended the DRAMA lecture. How many attended the FILM lecture?

40 students. Amount of students in each lecture is encoded as the sum of the positions of the letters in the alphabet. Letter A = 1, B= 2, C = 3 and so forth So FILM = 6 + 9 + 12 + 13 = 40

#27

If you have a pizza 🍕 with crust thickness 'a' and radius 'z', what's the volume of the pizza?

pi*z*z*a 🙃 The formula for the cylinder volume is pi * height * squared radius So we get pi * z * z * a

#28

A man went into a store to buy an item. He asked the assistant: "How much does it cost for one?" The assistant replied £2, Sir" "And how much for 10?" The assistant replied "£4" "How much for 100?" He got the reply "£6" What was the man buying?

House numbers

#29

There are 23 football ⚽️ teams playing in a knockout competition. What is the least number of matches they need to play to decide the winner?

22 In a knockout competition, every team except the winner is defeated once and once only, so the number of matches is one less than the number of teams. In this case 23-1 = 22

#29

How many degrees are there between clock hands ⏰ at 3:15?

7.5 degree The answer is not zero degrees as you might at first think. The minute hand will be at 15 minutes (90 degrees clockwise from vertical) but the hour hand will have progressed to one quarter of the distance between 3pm and 4pm. Each hour represents 30 degrees (360 / 12), so one quarter of an hour equals 7.5 degrees, so the minute hand will be at 97.5 degrees: a 7.5 degree difference between the hands.

#30

You have 8 bags 🛍 of sugar, 7 weigh the same, 1 weighs less. You also have a balance scale ⚖️. Find the one that weighs less in 3 steps.

Weight 4 bags against 4 other bags. Put aside the havier 4 bags, and continue with the bags that weigh less. Weight 2 against 2 other 2 bags from the lighter batch. Put aside the havier 2 bags. And finally, weigh two remaining bags from the lighter batch and you'll find out the bag that weighs less.

Put aside 2 bags, and weigh 3 bags against 3 other bags. If the weight is equal, the lighter bag is one of the two bags you left aside. Weigh these two bags and find out the lighter one. Otherwise, if weiging of 3 agains 3 bags reveals that there is a lighter trinity, you take 2 out of 3 bags from the lighter batch, and weigh them. If one of these two bags is lighter - you found the bag. Otherwise, if the bags are of equal weight, the remianing one bag is the one you are looking for.

#31

1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1,000 = ?

100 All the numbers except for 1/10 are reducible, so we left with 1/10 of 1000, which is 100.

#32

How many times do the hands of a clock overlap in 24 hours?

22 At first, it might be tempting to just say "24", but the correct answer is "22". This can be surmised because the clock hands approximately overlap at 12:00, 1:05, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45 and 10:50 twice a day. You will notice that there is no 11:55 because the hands will not overlap at that point because the hour hand is moving toward 12 when the minute hand is at 11.