# Let x, y be two positive numbers such that x+y=1.Then, the minimum value of (x+1/x)2 + (y+1/y)2 is

1.  12

2.  20

3.  12.5

4.  13.3

4

13.3

Explanation :
No Explanation available for this question

# Let a1 = 1 and an be the number formed by putting the digits of n at the end of an−1. For k = 1 to 2008, compute the number of ak that aredivisible by 3

1.  2008

2.  1338

3.  669

4.  1004

5.  502

5

1338

Explanation :
No Explanation available for this question

# In Quadrilateral ABCD < B = 900, AB = 3, BC = 4 and CD = 5.Find the area of the Quadrilateral

1.  6

2.  12

3.  18

4.  24

5.  none of these

5

18

Explanation :
No Explanation available for this question

# If a + b + c = 3, a2 + b2 + c2 = 9, a3 + b3 + c3 = 24 , Then find a4 + b4 + c4

1.  27

2.  69

3.  24

4.  36

5.  none of these

5

69

Explanation :
No Explanation available for this question

# If x + a is the HCF of x2 + px +q and x2 + kx + m, what is the value of

1.  a

2.

3.  a2

4.

4

a

Explanation :
No Explanation available for this question

# The positive integers a and b are such that the numbers 15a+16b and 16a−15b are both squares of positive integers. Find the least possible value that can be taken by the minimum of these two squares.

1.  132

2.  372

3.  4812

4.  (481.13)2

5.  (481.37)2

5

4812

Explanation :
No Explanation available for this question

# Given that p, q are prime numbers such that p2+q = 37q2+p. find p−q

1.  3

2.  4

3.  16

4.  36

5.  50

5

36

Explanation :
No Explanation available for this question

# Find the number of positive integers that are divisors of at least one of 1010, 157, 1811

1.  434

2.  435

3.  436

4.  462

5.  461

5

435

Explanation :
No Explanation available for this question

# N is a natural number . How many values of N exist, such that N2 + 24N + 21 has exactly three factors

1.  0

2.  1

3.  2

4.  3

5.  none of these

5

0

Explanation :
No Explanation available for this question

1.  0

2.  1

3.  2

4.  3

5.  4

5