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

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

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

The director of a marching band wishes to place the members into a formation that includes all of them and has no unfilled positions. If they are arranged in a square formation, there are 5 members left over. The director realizes that if he arranges the group in a formation with 7 more rows than columns, there are no members left over. Find the maximum number of members this band can have

1.  172

2.  273

3.  374

4.  294

5.  476

View Answer  
5
Correct Answer :

294


Explanation :
No Explanation available for this question

Let n be a positive integer such that 1335 + 1105 + 845 + 275 = n5.Find n

1.  134

2.  144

3.  154

4.  164

5.  174

View Answer  
5
Correct Answer :

144


Explanation :
No Explanation available for this question

P, x and y are natural numbers. If P, when successively divided by x, x and y, gives remainders of 1,4 and 4 respectively, which of the following statements is/are definitely true 1. P is odd 2. P is a perfect square 3.The least possible value ofP is 121 4. The least possible value of P is 9

1.  Only I and II

2.  Only I,II and III

3.  only III

4.    only I,II and IV

View Answer  
4
Correct Answer :

only III


Explanation :
No Explanation available for this question

The decimal equivalent of (123.21) 4 is

1.  27.2625

2.  27.0625

3.  27.5625

4.    None of these

View Answer  
4
Correct Answer :

27.5625


Explanation :
No Explanation available for this question

If p, q and r are distinct positive integers, such that r is even, while p and q are both odd, which of the following is true

1.  rp + pq + rq is even

2.  (p + q) (p + r) (q + r) is odd

3.  (p + q - r)2 + (p + r - q) + (r+q- p)3 is odd

4.  r(p + q)2+ p(q – r)3 + q(p - r) is even

View Answer  
4
Correct Answer :

r(p + q)2+ p(q – r)3 + q(p - r) is even


Explanation :
No Explanation available for this question
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