# Let P(1) = 2. for n ≥ 2, define P(n) as the largest prime divisor of P(1).P (2)..P (n − 1) + 1 Then which is always true

1.  P(n) < P(n − 1)

2.  P(n) + P(n − 1) is always a prime

3.  P(n) = 5 is not true for any n

4.  none of these

4

P(n) = 5 is not true for any n

Explanation :
No Explanation available for this question

# Let n be a positive integer greater than 4. Then

1.  n and n + 1 are always composite

2.  (n−1)!/n2+n is even

3.  a) is true if and only if b) is true

4.   a) is true if and only if b) is false

5.  none of these

5

a) is true if and only if b) is true

Explanation :
No Explanation available for this question

# Suppose X and Y be two distinct right angled triangles, with integral sides. Suppose the product of hypotenuse of X and one side of Y is equal to Product of hypotenuse of Y and a side of X. Then

1.  No such triangle exist

2.  one such pair exist

3.  Infinitely many such triangles exist

4.  There are finite such triangles

5.  none of these

5

Infinitely many such triangles exist

Explanation :
No Explanation available for this question

# Given that a and b are integers. then ab(a2 − b2)(a2 + b2) is divisible by

1.  30

2.  60

3.  90

4.  a and b

5.  a and c

5

30

Explanation :
No Explanation available for this question

# 56 - 1 is divisible by

1.  13

2.  31

3.  5

4.  None of these

4

31

Explanation :
No Explanation available for this question

# The sides of a triangle are 5, 12 and 13 units respectively. A rectangle is constructedwhich is equal in area to the triangle and has a width of 10 units. Then the perimeterof the rectangle is

1.  30

2.  26

3.  13

4.  None of these

4

26

Explanation :
No Explanation available for this question

# The base 6 representation of 0.3333333............. is

1.  3/5

2.  2/3

3.  1/3

4.  3/4

5.  none of these

5

1/3

Explanation :
No Explanation available for this question

# Which one of the following cannot be the ratio of angles in a right-angled triangle

1.  1: 2 : 3

2.  1 : 1 : 3

3.  1 : 3 : 6

4.  None of these

4

1 : 3 : 6

Explanation :
No Explanation available for this question

# Find the largest number n such that (2004!)! is divisible by ((n!)!)!

1.  2

2.  4

3.  5

4.  6

5.  7

5

6

Explanation :
No Explanation available for this question

# Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certaintime they begin to chime together. What length of time will elapse before they chimetogether again

1.  2 hours 24 minutes

2.  4 hours 48 minutes

3.  1 hour 36 minutes

4.  5 hours

4