CAT Quant Test-1( 10 Quest:25 minutes) [Test]

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Sureshbala

CAT Quant Test-1( 10 Quest:25 minutes)

A test by Suresh.

Test Questions

Question

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

Answers

Correct	Answer Text
	2
	4
	None of these
	5
	3

Question

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

Answers

Correct	Answer Text
	3
	8
	6
	5
	None of these

Question

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

Answers

Correct	Answer Text
	640
	780
	880
	None of these
	830

Question

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

Answers

Correct	Answer Text
	690
	630
	480
	520
	590

Question

Let ‘D’ be the largest divisor of 1001001001 that does not exceed 10000. Find the remainder when ‘D’ is divided by 7.

Answers

Correct	Answer Text
	1
	5
	3
	2
	4

Question

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

Answers

Correct	Answer Text
	12
	15
	9
	8
	10

Question

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.

Answers

Correct	Answer Text
	57
	53
	41
	67
	31

Question

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?

Answers