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There are n different books having m copies each. If the total number of ways of making at least one selectionfrom them is 255 and m - n + 1 = 0, then distance of point (m, n) from the origin is
3
4
5
None of these

The number of ways of selecting two numbers from the set {1, 2, …,12} whose sum is divisibleby 3 is
66
16
20
22

The number of flags with three strips in order that can be formed using 2 identical red, 2identical blue and 2 identical white strips is
24
22
20
23

The number of ordered triplets (a, b, c), a, b, c ? N, such that a + b + c ? 20 is
less than 100
less than 1000
more than 1000
Equal to 1000

In a hockey tournament, a total of 153 matches were played. If each team played one matchwith every other team, the total number of teams that participated in the tournament were
16
18
17
15

The number of even divisors of 1008 is
23
24
25
22

In a college of 300 students, every student reads 5 newspapers and every newspaper is read by60 students. The number of newspapers is
Atleast 30
Exactly 25
Exactly 30
None of these

The number of triangles which can be formed from 12 points out of which 7 are collinear is
105
210
175
185

The number of divisors of 3630, which have a remainder of 1 when divided by 4, is
6
7
12
5

The number of positive integral solutions of the equation x1 x2 x3 = 60 is
27
81
54
None of these

The sum of the factors of 7!, which are odd and are of the form 3t + 1 where t is a wholenumber, is
13
10
16
8

Number of positive integers n less than 15, for which n! + (n+1)! + (n+2)! is an integral multiple of 49 is
4
3
5
6

The number of four-digit natural numbers in which odd digits occur at even places andeven digits occur at odd places and digits are in increasing order from left to right,
less than 36
lies between 36 and 100
Exactly 36
More than 100

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Mathematics Faculty for JEE Main & Advanced

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