This CAT test consists of number system questions which are part of the CAT Quantitative section.

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Questions 11-13: A number when multiplied with 13 has only 7â€™s in the product. Let the product be denoted by Î»

How many digits are there in the smallest such number?

5

None of these

7

6

second.How many digits are there in the smallest such number?

12

13

15

11

How many digits are there in the smallest value that Î» can take?

8

How many positive integer solutions for x, y are there satisfying the equations?x + y = px â€“ y = p + 2k + 1 where p and k are positive integers?

Finite number of solution exist but more than one

Exactly one solution exists

No solution exists

How many positive numbers less than 10,000 can be made using the digits 1, 2, 3, 0, 4, 5,6, 7?

4,087

4,088

4,096

4,095

A,B and C buy a box of chocolates each. Mr.A distributes the chocolates in his box equally among his 6 children, Mr.B among his 7 children and Mr.C among his 8 children. Then they pool their respective remaining number of chocolates and find that they could distribute these equally among themselves or equally among themselves when a fourth friend D joins them. Which of the following can be the total amount that the three friends spent on the chocolates if each chocolate costs exactly Rs. 2.50 (Assume that the only cost of a box of chocolates is that of the chocolates in it)?

210

120

180

150

The result of addition of 23241, 4032, 300421 in the scale of five is

243024

333244

312404

322444

When the smallest three-digit number which when divided by 7, 8 and 11 leaves respective remainders of 4, 3 and 7, is divided by 9, the remainder is

The smallest value of a for which (2100) x (a) is a perfect cube is

4410

2310

2100

A rectangle is such that it can be perfectly cut into smaller squares of a maximum possible side of length 12 units. It is also known that the perimeter of such a rectangle is 384 units.How many distinct rectangles are there which satisfy the criteria given

4

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