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

If f(x) = log {(1 + x)/(1 - x)}, then f(x) + f(y) is :

1.  f(x + y)

2.  f{(x + y)/(1 + xy)}

3.  (x + y) f{1/(1 + xy)}

4.  f(x) + f(y)/(1 + xy)

View Answer  
4
Correct Answer :

f{(x + y)/(1 + xy)}


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

View Answer  
4
Correct Answer :

780


Explanation :
No Explanation available for this question

Suppose, for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x, y)= [x] + [y] + [x+y] and R (x, y) = [2x] + [2y]. Then it's impossible to find any two positive real numbers x and y for which

1.  L(x, y) = R(x, y)

2.  L(x, y) not equalR(x, y)

3.  L(x, y) < R(x, y)

4.  L(x, y) > R(x, y)

View Answer  
4
Correct Answer :

L(x, y) > R(x, y)


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

View Answer  
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

View Answer  
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

If x ≥ y and y > 1, then the value of the expression logx (x/y) + logy (y/x) can never be

1.  -1

2.  -0.5

3.  0

4.  1

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question
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