Number S is obtained by squaring the sum of digits of a two digit number D. If the difference between S and D is 27, then the two digit number D is:

1.  24

2.  54

3.  34

4.  45

View Answer  
4
Correct Answer :

54


Explanation :
No Explanation available for this question

Convert the number 1982 from base 10 to base 12. The result is:

1.  1182

2.  1912

3.  1192

4.  1292

View Answer  
4
Correct Answer :

1192


Explanation :
No Explanation available for this question

The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n

1.  289

2.  367

3.  453

4.  307

View Answer  
4
Correct Answer :

307


Explanation :
No Explanation available for this question

Let N = 553 + 173 - 723. N is divisible by:

1.  both 7 and 13

2.  both 3 and 13

3.  both 17 and 7

4.  both 3 and 17

View Answer  
4
Correct Answer :

both 3 and 17


Explanation :
No Explanation available for this question

Let n! = 1×2×3×....×n for integer n ≥ 1. If p=1!+(2×2!)+(3×3!)+....+(10×10!), then p+2 when divided by 11! leaves a remainder of

1.  10

2.  0

3.  7

4.  1

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X, Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is

1.  780

2.  800

3.  820

4.  741

View Answer  
4
Correct Answer :

780


Explanation :
No Explanation available for this question

The digits of a three-digit number A are written in the reverse order to form another three-digits number B. If B > A and B - A is perfectly divisible by 7, then which of the following is necessarily true

1.  100 < A < 299

2.  106 < A < 305

3.  112 < A < 311

4.  118 < A < 317

View Answer  
4
Correct Answer :

106 < A < 305


Explanation :
No Explanation available for this question

Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S

1.  228

2.  216

3.  294

4.  192

View Answer  
4
Correct Answer :

216


Explanation :
No Explanation available for this question

The rightmost non-zero digit of the number 302720 is

1.  1

2.  3

3.  7

4.  9

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

For a positive integer n, let Pn denote the product of the digits of n, and Sn denote the sum of the digits of n. The number of integers between 10 and 1000 for which Pn+5n = n is

1.  81

2.  16

3.  18

4.  9

View Answer  
4
Correct Answer :

9


Explanation :
No Explanation available for this question
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