# Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90o or concave if the internal angle is 270o. If the number of convex corners in such a polygon is 25, the number of concave corners must be

1.   20

2.  0

3.  21

4.  22

4

21

Explanation :
No Explanation available for this question

# The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f…. is

1.  u

2.  v

3.  w

4.  x

4

x

Explanation :
No Explanation available for this question

# Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true

1.  The minimum possible value of a2 + b2 + c2 + d2 is 4m2– 2m + 1

2.  The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1

3.  The maximum possible value of a2 + b2 + c2 + d2 is 4m2 - 2m + 1

4.  The maximum possible value of a2 + b 2 + c2 + d2 is 4m2 + 2m + 1

4

The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1

Explanation :
No Explanation available for this question

# The number of non-negative real roots of 2x – x – 1 = 0 equals

1.  0

2.  1

3.  2

4.  3

4

2

Explanation :
No Explanation available for this question

# Three horses are grazing within a semi-circular field. In the diagram given below, AB is thediameter of the semi -circular field with centre at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi -circles with centers at P and R respectively, and S is the centre of the circle touching the two semi -circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi -circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to

1.  20

2.  28

3.  36

4.  40

4

28

Explanation :
No Explanation available for this question

# Amit wants to reach N2 from S1. It would take him 90 minutes if he goes on minor arc S1 – E1 on OR, and then on the chord road E1 – N2. What is the radius of the outer ring road in kms

1.   60

2.  40

3.  30

4.  20

4

30

Explanation :
No Explanation available for this question

# Amit wants to reach E2 from N1 using first the chord N1 – W2 and then the inner ring road. What will be his travel time in minutes on the basis of information given in the above question

1.  60

2.  45

3.  90

4.  105

4

105

Explanation :
No Explanation available for this question

# The number of positive integers n in the range 12 n ?40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is

1.   5

2.  7

3.  13

4.  14

4

13

Explanation :
No Explanation available for this question

# In a certain examination paper, there are n questions. For j = 1, 2 …n, there are  2n-j students who answered j or more questions wrongly. If the total number of wrong answe rs is 4095, then the value of n is

1.  12

2.  11

3.  10

4.  9

4

12

Explanation :
No Explanation available for this question

# Consider the following two curves in the x-y plane: y = x3+ x2 + 5 y = x2+ x + 5 Which of the following statements is true for -2x 2

1.  The two curves intersect once

2.  The two curves intersect twice

3.  The two curves do not intersect

4.  The two curves intersect thrice

4