Find the number of pairs of real numbers x, y such that (x2 + 8x +17)(y2 − 2y + 6) = 5

1.  0

2.  1

3.  2

4.  3

5.  4

View Answer  
5
Correct Answer :

4


Explanation :
No Explanation available for this question

Find the no of triplets (x, y, z) of positive integers such that xy + yz +zx = xyz

1.  0

2.  1

3.  4

4.  7

5.  10

View Answer  
5
Correct Answer :

4


Explanation :
No Explanation available for this question

If the lcm of (10!)(18!) and (12!)(17!) is expressed as a!b!/c! where a, b are two digit positive numbers and c is a one digit positive number. Then abc equals

1.  54

2.  648

3.  216

4.  324

5.  none of these

View Answer  
5
Correct Answer :

648


Explanation :
No Explanation available for this question

Find the remainder when 2184 is divided by 343

1.  0

2.  1

3.  49

4.  341

5.  none of these

View Answer  
5
Correct Answer :

none of these


Explanation :
No Explanation available for this question

Two friends get home at 2:30 P.M. They both go to bed 10 P.M. If both friends will go to a park twice for 15 minutes, what is the probability that they will be able to see each other at any random time between the two time intervals Assume that the travel to and from the park takes no time.

1.  25/225

2.  8/15

3.  27/225

4.  29/225

5.  3/17

View Answer  
5
Correct Answer :

29/225


Explanation :
No Explanation available for this question

Let p be a prime number such that f(p) = (2 + 3) − (22 + 32) + (23 +33) − ... − (2p−1 + 3p−1) + (2p + 3p) is divisible by 5. If p1, p2 and p3 are the three smallest such primes, then p1 + p2 + p3 equals

1.  15

2.  19

3.  21

4.  25

5.  35

View Answer  
5
Correct Answer :

35


Explanation :
No Explanation available for this question

Let a, b, c be positive integers such that a2 +b2 = c2(1+ab). then which is true

1.  a ≥ b

2.  b ≥ c

3.  b ≥ c

4.  a,b,c

5.  b,c

View Answer  
5
Correct Answer :

b,c


Explanation :
No Explanation available for this question

How many positive integral values of x and y satisfy xy = (y + 1)4

1.  1

2.  2

3.  3

4.  4

5.  Infinite

View Answer  
5
Correct Answer :

4


Explanation :
No Explanation available for this question

Positive integers x and y satisfy 3x2 − 8y2 + 3x2y2 = 2008. Find the product x2y

1.  28

2.  49

3.  16

4.  98

5.  112

View Answer  
5
Correct Answer :

112


Explanation :
No Explanation available for this question

Let n be a 5-digit number, and let q and r be the quotient and remainder,respectively, when n is divided by 100. For how many values of n is q + r divisible by 11

1.  8180

2.  8181

3.  8182

4.  9000

5.  9090

View Answer  
5
Correct Answer :

8181


Explanation :
No Explanation available for this question
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