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# CAT Number system Practice Problems Set 10

Question 1:
A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange:

US Dollar 1 = 41 Bahts

Euro 1= 46 Bahts

The perfume is priced at 520 Bahts per bottle. After one bottle is purchased, subsequent bottles are available at a discount of 30%. Three friends S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays 2 Euros. M pays 4 Euros and 27 Thai Bahts and S pays the remaining amount in US Dollars.

How much does R owe to S in Thai Baht?

Topic: Basics

[1] 428
[2] 416
[3] 334
[4] 324

Question 2:
A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange:

US Dollar 1 = 41 Bahts

Euro 1= 46 Bahts

The perfume is priced at 520 Bahts per bottle. After one bottle is purchased, subsequent bottles are available at a discount of 30%. Three friends S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays 2 Euros. M pays 4 Euros and 27 Thai Bahts and S pays the remaining amount in US Dollars.

How much does M owe to S in US Dollars?

Topic: Basics

[1] 3
[2] 4
[3] 5
[4] 6

Question 3:
How many even integers n, where 100 ≤ n ≤ 200 , are divisible neither by seven nor by nine?
Topic: Divisibility

[1] 40
[2] 37
[3] 39
[4] 38

Question 4:
A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals
Topic: Base System

[1] 31
[2] 63
[3] 75
[4] 91

Question 5:
Is a44 < b11, given that a = 2 and b is an integer?

A. b is even

B. b is greater than 16

Topic: Data Sufficiency

[1] The question can be answered by one of the statements alone but not by the other.
[2] The question can be answered by using either statement alone.
[3] The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
[4] The question cannot be answered even by using both the statements together.

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