# There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lies are required

1.  72

2.  90

3.  96

4.  144

4

90

Explanation :
No Explanation available for this question

# In the figure (not drawn to scale) given, P is a point on AB such that AP:PB = 4:3. PQ is parallel to AC and QD is parallel to CP. In triangle ARC, ARC = 90°, and in triangle PQS, PSQ = 90°. The length of QS is 6 cms. What is ratio AP:PD

1.  10:3

2.  2:1

3.  7:3

4.  8:3

4

7:3

Explanation :
No Explanation available for this question

# A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower

1.  5(3+1)

2.  6(3+2)

3.  7 (3-1)

4.  8 (3-2)

4

7 (3-1)

Explanation :
No Explanation available for this question

# In the figure (not drawn to scale) given below, if AD =CD = BC, and angle BCE = 96°, how much is angle DBC

1.  32°

2.  84°

3.  64°

4.  Cannot be determined

4

64°

Explanation :
No Explanation available for this question

# If both a and b belong to the set {1,2,3,4}, then the number of equations of the form ax2 + bx ?+ 1= 0 having real roots is

1.  10

2.  7

3.  6

4.  12

4

7

Explanation :
No Explanation available for this question

# What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7

1.  666

2.  676

3.  683

4.  777

4

676

Explanation :
No Explanation available for this question

# In the figure below (not drawn to scale). A,B and C are there points on a circle with centre O. The chord BA is extended to a point T such that CT becomes a tangent to the circle at point C. if angle ATC = 30° and ACT = 50°, then the angle BOA is

1.  100°

2.  150°

3.  80°

4.  Not possible to determine

4

100°

Explanation :
No Explanation available for this question

# What is the sum of ‘n’ terms in the series: logn log?(m2 / n??) + log?(m3 / n2) + ?log(?m4 / n3)

1.  Log[n(n-1)/m(m+1)]n/2

2.  Log[mm/nn] n/2

3.  Log [m(1-n)/n(1-m)] n/2

4.  Log [m(m+1)/ n(n-1)] n/2

4

Log [m(m+1)/ n(n-1)] n/2

Explanation :
No Explanation available for this question

# . Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3,……be the areas and P1, P2, P3,……..be the perimeters of S1, S2, S3,……., respectively, then the ratio equals

1.  2(1+√2)/a

2.  2(2+√2)/a

3.   2(2-√2)/a

4.  2(1+2√2)/a

4

2(2-√2)/a

Explanation :
No Explanation available for this question

1.  27/14

2.  21/13

3.  49/27

4.  256/147

4