This CAT practice test consists of quant CAT question papers with answers that are part of the CAT Quantitative section. Solving CAT question papers will give you an idea of CAT paper pattern and an edge over other candidates.

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2^29 is a nine digit number all of whose digits are distinct. Determine which of the ten digits is missing?

2

4

None of these

5

3

Let X, Y be positive integers such that X>Y and LCM + GCD = 63. How many ordered pairs (X, Y) are there?

8

6

If n^3+100 is exactly divisible by n+10, where n is a positive integer, find the maximum value of n

640

780

880

830

Find the sum of all positive two-digit integers that are divisible by each of their digits.

690

630

480

520

590

Let â€˜Dâ€™ be the largest divisor of 1001001001 that does not exceed 10000. Find the remainder when â€˜Dâ€™ is divided by 7.

1

N is the smallest positive integer such that N! ends in 290 zeros. Find the sum of the digits of N.

12

15

9

10

A positive integer is written on each face of a cube. Each vertex is assigned the product of the numbers written on the three faces intersecting the vertex. The sum of the numbers assigned to all the vertices is 2431. Find the sum of the numbers written on the faces of the cube.

57

53

41

67

31

Given a sequence of six strictly increasing positive integers such that each number (besides the first) is a multiple of the one before it and the sum of all six numbers is 79, what is the largest number in the sequence?

96

42

46

52

48

N is the smallest positive integer such that N ends in 888. Find the sum of the digits of N.

13

17

14

The number 27000001 has exactly four prime factors. Find their sum.

608

821

725

752

652

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