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# CAT Number system Practice Problems Set 07

Question 1:
In some code, letters a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. We just do not know which letter represents which number. Consider the following relationships:

a + c = e,

b – d = d and

e + a = b

Which of the following statements is true?

Topic: Basics

 b = 4, d = 2
 a = 4, e = 6
 b = 6, e = 2
 a = 4, c = 6

Question 2:
A change-making machine contains one-rupee, two-rupee and five-rupee coins. The total number of coins is 300. The amount is Rs. 960. If the numbers of one-rupee coins and two-rupee coins are interchanged, the value comes down by Rs. 40. The total number of five-rupee coins is
Topic: Basics

 100
 140
 60
 150

Question 3:
Number S is obtained by squaring the sum of digits of a two-digit number D. If difference between S and D is 27, then the two-digit number D is
Topic: Digits

 24
 54
 34
 45

Question 4:
The nth element of a series is represented as

Xn= (–1)nXn–1

If X0= x and x > 0, then which of the following is always true?

Topic: Basics

 Xnis positive if n is even
 Xnis positive if n is odd
 Xnis negative if n is even
 None of these

Question 5:
The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thiefstill got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?
Topic: Basics

 40
 36
 25
 None of these

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