Given that 5x + 12y = 60 find the minimum value of ∫x2 + y2

1.  13/60 

2.  60/13

3.  5

4.  1/5

5.  none of these

View Answer  
5
Correct Answer :

60/13


Explanation :
No Explanation available for this question

if x + y + xy = 75 and x2 − y2 = 315 how many (x, y) pairs are possible

1.  0

2.  1

3.  2

4.  4

5.  none of these

View Answer  
5
Correct Answer :

1


Explanation :
No Explanation available for this question

A regular pentagon ABCDE is such that diagonal AC and BD meet at P.Then

1.  AP = CD 

2.  BP=AE

3.  DP=BC

4.  All three

5.  Only a and c

View Answer  
5
Correct Answer :

All three


Explanation :
No Explanation available for this question

x, y and z are positive integers. Then how many triplets (x, y, z) exist (x + y + z)2 + (x + y − z)2 + (x − y + z)2 = 40

1.  1

2.  3

3.  5

4.  6

5.  2

View Answer  
5
Correct Answer :

2


Explanation :
No Explanation available for this question

Let A,B,C,...X,Y,Z be positive numbers such that AC=B,BD=C...XZ=Y. Given that A+B=1988 find max value of Y+Z

1.  994

2.  1988

3.  ∫1988

4.  3976

5.  none of these

View Answer  
5
Correct Answer :

1988


Explanation :
No Explanation available for this question

If n is a positive integer, then n2n can

1.  end with 4

2.  never end with 4 

3.  can end with 1

4.  a and c only

5.  b and c only

View Answer  
5
Correct Answer :

b and c only


Explanation :
No Explanation available for this question

If for some natural numbers A and B, B2 +BA+1 divides A2 +AB +1,then A − B = k, where k is an integer. How many such k exist

1.  0

2.  1

3.  2

4.  infinitely many 

5.  cannot be determined

View Answer  
5
Correct Answer :

0


Explanation :
No Explanation available for this question

)Let X(1),X(2),X(3)...X(n) be n integers. and let Y (1), Y (2), Y (3)...Y (n) be any rearrangement of these n integers. Then |X(1) − Y (1)| + |X(2) −Y (2)|... + |X(n) − Y (n)|

1.  is even 

2.  is odd

3.  can be even or odd

4.  is 0

5.  is 1

View Answer  
5
Correct Answer :

is even 


Explanation :
No Explanation available for this question

)Let X(1),X(2),X(3)...X(n) be n integers. and let Y (1), Y (2), Y (3)...Y (n) be any rearrangement of these n integers. Then |X(1) − Y (1)| + |X(2) −Y (2)|... + |X(n) − Y (n)|

1.  is even 

2.  is odd

3.  can be even or odd

4.  is 0

5.  is 1

View Answer  
5
Correct Answer :

is even 


Explanation :
No Explanation available for this question

Let X = 2n, how many n, positive integer, exist such that X does not have a digit which is a power of 2

1.  0

2.  1

3.  2

4.  3

5.  none of these

View Answer  
5
Correct Answer :

2


Explanation :
No Explanation available for this question
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