# A polynomial P has four roots 1/4, 1/2, 2, 4. The product of the roots is 1, and P(1) = 1. Find P(0)

1.  0

2.  1/9

3.  -1/9

4.  8/9

5.  -8/9

5

8/9

Explanation :
No Explanation available for this question

# Find the sum of all positive integers m such that m2 + 25m + 19 is a perfect square

1.  125

2.  130

3.  159

4.  164

5.  198

5

164

Explanation :
No Explanation available for this question

# Given that m, a, and b are positive integers such that m + 5a + 7b = 84 and m + 7a + 10b = 114 then find 9m + 23a + 30b =

1.  210

2.  426

3.  145

4.  325

5.  none of these

5

426

Explanation :
No Explanation available for this question

# Let A = {a1, a2..ak} be any set of k composite numbers such that1  ≤ ai ≤  120 for all i such that1 ≤ i ≤ k. Find the least value of k suchthat there exists at least one pair (ai, aj), 1 ≤ ,j i ≤  k in A which is not coprime

1.  3

2.  4

3.  5

4.  6

5.  7

5

5

Explanation :
No Explanation available for this question

# Let there be two lines AC and BC such that < ACB = 900. We draw circles C1,C2, ..Cn with radii R1,R2, ..Rn, (Ri > Rj , if i > j). All these circles are tangent to the lines AC and BC, and any two circles Cp,Cp+1(1≤p ≤ n−1) are tangent to each other. Find R1+R2+R3+...+Rn when n = N where N is very large

1.  ∫2+12 R1

2.  (∫2 + 1)R1

3.  ∫2+1/2 RN

4.  (∫2 + 1)RN

5.  none of these

5

∫2+1/2 RN

Explanation :
No Explanation available for this question

# a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

1.  equal to each other

2.  reciprocal to each other

3.  at leastone of the foregoing

4.  all of the foregoing

5.  none of the foregoing

5

reciprocal to each other

Explanation :
No Explanation available for this question

# What is the value of b

1.  1

2.  3

3.  9

4.  6

5.  can not be uniquely determined

5

3

Explanation :
No Explanation available for this question

# How many pairs (a, b) exist

1.  1

2.  2

3.  4

4.  6

5.  none of these

5

4

Explanation :
No Explanation available for this question

# A boy spends Rs. 81 in buying some pens and pencils. If a pen costs Rs.7 and a pencil Rs 3, What is the ratio of pens to pencils when the maximum number of pens are purchased such that no extra money is given to the shopkeeper

1.  3 : 2

2.  2 : 1

3.  5 : 4

4.  7 : 2

5.  none of these

5

3 : 2

Explanation :
No Explanation available for this question

# Find the sum 1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12

1.  1

2.  2

3.  3

4.  4

5.  none of these

5