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PostPosted: Wed Aug 28, 2019 1:17 pm 
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Joined: Wed Jun 12, 2019 2:26 pm
Posts: 21
16) Each of the following letters represents a number

T+R+A+C+E = 20
C+A+R+E =18
C+A+R+T =16
E+A+R=13

What si the value of R+A+T?

ANS 16



23) The guests at aparty can be seated at tables of 9 with no empty seats.Alternatively,they can be seated at tables of 7 with one empty seat at four or the tables.
What is the smallest possible number of guests at the party?


ANS 45
43)Jas buys a bike that has been reduced in price by 15%in a sale.If Jas pays £238 for the bike what is the original price in pounds before the sale?
ANS £280


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PostPosted: Wed Aug 28, 2019 1:25 pm 
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Joined: Mon Jun 18, 2007 2:32 pm
Posts: 7625
Location: East Kent
Start by looking at what you know.

T R A C E = 20
C A R E= 18.

R+A+C+E = C+A+R+E = 18.
T + R +A+C+E = 20

SO..T MUST = 20-18 = 2.

YOU NOW KNOW THE VALUE OF ONE OF THE LETTERS.

Sorry about the caps lock!


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PostPosted: Wed Aug 28, 2019 5:05 pm 
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Joined: Wed Jan 18, 2012 11:41 am
Posts: 10326
Location: Essex
Sulikhan wrote:
16) Each of the following letters represents a number

T+R+A+C+E = 20
C+A+R+E =18
C+A+R+T =16
E+A+R=13

What si the value of R+A+T?

ANS 16



23) The guests at aparty can be seated at tables of 9 with no empty seats.Alternatively,they can be seated at tables of 7 with one empty seat at four or the tables.
What is the smallest possible number of guests at the party?


ANS 45
43)Jas buys a bike that has been reduced in price by 15%in a sale.If Jas pays £238 for the bike what is the original price in pounds before the sale?
ANS £280



Is it just me...?

No.16:

CARE =TRACE - T (i.e 20 - T) = 18.
Therefore T = 2.

CART = TRACE - E (i.e.20 - E) = 16
Therefore E = 4.

RAT = CART - C
Therefore for RAT also to be 16, C must = 0.

But if EAR = 13 and E = 4, AR = (13 - 4) =9

And we know that T = 2, so RAT = 9 + 2 =11.

Or have missed something?

_________________
Outside of a dog, a book is a man's best friend. Inside of a dog it's too dark to read.Groucho Marx


Last edited by ToadMum on Wed Aug 28, 2019 10:22 pm, edited 1 time in total.

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PostPosted: Thu Aug 29, 2019 6:47 am 
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Joined: Sat Sep 28, 2013 2:20 pm
Posts: 565
ToadMum wrote:
Sulikhan wrote:
16) Each of the following letters represents a number

T+R+A+C+E = 20
C+A+R+E =18
C+A+R+T =16
E+A+R=13

What si the value of R+A+T?

ANS 16



23) The guests at aparty can be seated at tables of 9 with no empty seats.Alternatively,they can be seated at tables of 7 with one empty seat at four or the tables.
What is the smallest possible number of guests at the party?


ANS 45
43)Jas buys a bike that has been reduced in price by 15%in a sale.If Jas pays £238 for the bike what is the original price in pounds before the sale?
ANS £280



Is it just me...?

No.16:

CARE =TRACE - T (i.e 20 - T) = 18.
Therefore T = 2.

CART = TRACE - E (i.e.20 - E) = 16
Therefore E = 4.

RAT = CART - C
Therefore for RAT also to be 16, C must = 0.

But if EAR = 13 and E = 4, AR = (13 - 4) =9

And we know that T = 2, so RAT = 9 + 2 =11.

Or have missed something?


No, it’s not just you, the answer can’t possibly be 16


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PostPosted: Thu Aug 29, 2019 8:38 am 
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Joined: Wed Jul 12, 2017 6:42 am
Posts: 162
Sulikhan wrote:

23) The guests at aparty can be seated at tables of 9 with no empty seats.Alternatively,they can be seated at tables of 7 with one empty seat at four or the tables.
What is the smallest possible number of guests at the party?


ANS 45

The number of people is a multiple of 9.
Lets start with the tables of 7 with 4 empty tables ... lets assume there are only 4 tables. This gives us 24 people, which is not a multiple of 9. Keep adding 7 to the number of people until you arrive at a multiple of 9 and you have the answer.


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PostPosted: Thu Aug 29, 2019 8:41 am 
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Joined: Wed Jul 12, 2017 6:42 am
Posts: 162
Sulikhan wrote:
43)Jas buys a bike that has been reduced in price by 15%in a sale.If Jas pays £238 for the bike what is the original price in pounds before the sale?
ANS £280

As we are dealing in percentages, lets assume the original cost of the bike is £100. After a 15% discount, the cost of the bike will be £85. The actual discounted price of the bike is £238. Does that help to calculate the original price?


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PostPosted: Thu Aug 29, 2019 2:28 pm 
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Joined: Sat Sep 28, 2013 2:20 pm
Posts: 565
£238 = 85%
Therefore divide 238 by 8.5
Then multiply by 10
= £280


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PostPosted: Thu Aug 29, 2019 6:52 pm 
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Joined: Wed Jan 18, 2012 11:41 am
Posts: 10326
Location: Essex
pinkrabbit38 wrote:
ToadMum wrote:
Sulikhan wrote:
16) Each of the following letters represents a number

T+R+A+C+E = 20
C+A+R+E =18
C+A+R+T =16
E+A+R=13

What si the value of R+A+T?

ANS 16



23) The guests at aparty can be seated at tables of 9 with no empty seats.Alternatively,they can be seated at tables of 7 with one empty seat at four or the tables.
What is the smallest possible number of guests at the party?


ANS 45
43)Jas buys a bike that has been reduced in price by 15%in a sale.If Jas pays £238 for the bike what is the original price in pounds before the sale?
ANS £280



Is it just me...?

No.16:

CARE =TRACE - T (i.e 20 - T) = 18.
Therefore T = 2.

CART = TRACE - E (i.e.20 - E) = 16
Therefore E = 4.

RAT = CART - C
Therefore for RAT also to be 16, C must = 0.

But if EAR = 13 and E = 4, AR = (13 - 4) =9

And we know that T = 2, so RAT = 9 + 2 =11.

Or have missed something?


No, it’s not just you, the answer can’t possibly be 16


Well, that's you, me and poor long-suffering DS2, whom I roped in to have a go yesterday evening :).

OP, is the answer given definitely '16', because there doesn't seem to be any logical way that it can be?

_________________
Outside of a dog, a book is a man's best friend. Inside of a dog it's too dark to read.Groucho Marx


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