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

View Answer  
4
Correct Answer :

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

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4
Correct Answer :

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

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4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

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4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

equilateral


Explanation :
No Explanation available for this question
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