# Twenty-seven persons attend a party. Which one of the following statements can never be true

1.   There is a person in the party who is acquainted with all the twenty-six others.

2.  Each person in the party has a different number of acquaintances.

3.  There is a person in the party who has an odd number of acquaintances.

4.  In the party, the is no set of three mutual acquaintances.

4

Each person in the party has a different number of acquaintances.

Explanation :
No Explanation available for this question

# What is the number of projects in which Medha alone is involved

1.   Uniquely equal to zero

2.  Uniquely equal to 1

3.  Uniquely equal to 4

4.  Cannot be determined uniquely

4

Uniquely equal to 1

Explanation :
No Explanation available for this question

# What is the number of projects in which Gyani alone is involved

1.   Uniquely equal to zero

2.  Uniquely equal to 1

3.  Uniquely equal to 4

4.  Cannot be determined uniquely

4

Cannot be determined uniquely

Explanation :
No Explanation available for this question

# If the product of n positive real numbers is unity, then their sum is necessarily

1.  a multiple of n

2.  equal to n +(1/n)

3.  never less than n

4.  a positive integer

4

never less than n

Explanation :
No Explanation available for this question

# There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is

1.  34

2.  38

3.  36

4.  32

4

36

Explanation :
No Explanation available for this question

# In the figure below, the rectangle at the corner measures 10 cm 20 cm. The corner A of the rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm

1.  10 cm

2.  40 cm

3.  50 cm

4.  None of the above

4

50 cm

Explanation :
No Explanation available for this question

# A vertical tower OP stands at the center O of a square ABCD. Let h and b denote the length OP and AB respectively. Suppose APB = 60o then the relationship between h and b can be expressed as

1.  2b2 = h2

2.  2h2 = b2

3.  3b2 = 2h2

4.  3h2 = 2b2

4

2h2 = b2

Explanation :
No Explanation available for this question

# How many three digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s place respectively, exist such that x < y, z < y and x 0?

1.  245

2.  285

3.  240

4.  320

4

240

Explanation :
No Explanation available for this question

# In the figure given below, AB is the chord of a circle with center O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ACD = y degrees and AOD = x degrees such that x = ky, then the value of k is

1.  3

2.  2

3.  1

4.  None of the above

4

3

Explanation :
No Explanation available for this question

1.  1 : 1

2.  3 : 2

3.  4 : 1

4.   3 : 8

4