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 + sn = n is

1.  81

2.  16

3.  18

4.  9

View Answer  
4
Correct Answer :

9


Explanation :
No Explanation available for this question

Rectangular tiles each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm, such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is

1.  4

2.  5

3.  6

4.  7

View Answer  
4
Correct Answer :

6


Explanation :
No Explanation available for this question

In the following figure, the diameter of the circle is 3 cm. AB and MN are two diameters such that MN is perpendicular to AB. In addition, CG is perpendicular to AB such that AE:EB = 1:2, and DF is perpendicular to MN such that NL:LM = 1:2. The length of DH in cm is

1.  2 √2 -1

2.  (2√2-1)/2

3.  (3√2-1)/2

4.  (2√2-1)/3

View Answer  
4
Correct Answer :

(2√2-1)/2


Explanation :
No Explanation available for this question

Consider the triangle ABC shown in the following figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠BCD = ∠BAC What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC

1.  7 /9

2.  8/ 9

3.  6/ 9

4.  5/9

View Answer  
4
Correct Answer :

7 /9


Explanation :
No Explanation available for this question

P, Q, S, and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. What is the perimeter of the quadrilateral PQSR

1.  2r(1√+3)

2.  2r(2+√3)

3.  r(1+√5)

4.  2r+√3

View Answer  
4
Correct Answer :

2r(1√+3)


Explanation :
No Explanation available for this question

Let S be a set of positive integers such that every element n of S satisfies the conditions a) 1000 ≤ n ≤ 1200 b) every digit in n is odd Then how many elements of S are divisible by 3

1.  9

2.  10

3.  11

4.  12

View Answer  
4
Correct Answer :

9


Explanation :
No Explanation available for this question

Let x = √4 +√4-√4 +√4- ... to infinity. Then x equals

1.  3 (2)

2.  √13+ 1/2

3.  13√ -1/2

4.  √13

View Answer  
4
Correct Answer :

13√ -1/2


Explanation :
No Explanation available for this question

A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is

1.  10

2.  12

3.  14

4.  16

View Answer  
4
Correct Answer :

12


Explanation :
No Explanation available for this question

Find the number of quadratic polynomials ax2 + bx + c such that a) a, b, c are distinct b) a, b, c 2 {1, 2, 3, ...2008} c) x + 1 divides ax2 + bx + c

1.  2013018

2.  2013021

3.  2014024

4.  2018040

5.  none of these

View Answer  
5
Correct Answer :

2014024


Explanation :
No Explanation available for this question

Suppose K be the number of integers n such that 2n+1/n2 is also an integer.Then K is

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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