# Let n! = 1×2×3×....×n for integer n ≥ 1. If p=1!+(2×2!)+(3×3!)+....+(10×10!), then p+2 when divided by 11! leaves a remainder of

1.  10

2.  0

3.  7

4.  1

4

1

Explanation :
No Explanation available for this question

# Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X, Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is

1.  780

2.  800

3.  820

4.  741

4

780

Explanation :
No Explanation available for this question

# The digits of a three-digit number A are written in the reverse order to form another three-digits number B. If B > A and B - A is perfectly divisible by 7, then which of the following is necessarily true

1.  100 < A < 299

2.  106 < A < 305

3.  112 < A < 311

4.  118 < A < 317

4

106 < A < 305

Explanation :
No Explanation available for this question

# If a1=1 and an+1-3an+2 = 4n for every positive integer n, then a100 equals

1.  399-200

2.  399+200

3.  3100-200

4.  3100+200

4

3100-200

Explanation :
No Explanation available for this question

# Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S

1.  228

2.  216

3.  294

4.  192

4

216

Explanation :
No Explanation available for this question

# The rightmost non-zero digit of the number 302720 is

1.  1

2.  3

3.  7

4.  9

4

1

Explanation :
No Explanation available for this question

# Four points A, B, C and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle is

1.  3√2

2.  1 + π

3.  4π/3

4.  5

4

1 + π

Explanation :
No Explanation available for this question

# For a positive integer n, let Pn denote the product of the digits of n, and Sn denote the sum of the digits of n. The number of integers between 10 and 1000 for which Pn+5n = n is

1.  81

2.  16

3.  18

4.  9

4

9

Explanation :
No Explanation available for this question

# In a triangle ABC, the internal bisector of the angle A meets BC at D. If AB = 4, AC = 3 and A = 60°, then the length of AD is :

1.  2√3

2.  12√3/7

3.  15√3/8

4.  6√3/7

4

12√3/7

Explanation :
No Explanation available for this question

# If a, b, c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is:

1.  equilateral

2.  isosceles

3.  right angled

4.  obtuse angled

4