# A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle

1.  4√2

2.  2√2

3.  √2

4.  None of the above

4

2√2

Explanation :
No Explanation available for this question

# N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N

1.  5

2.  7

3.  9

4.  None of these

4

7

Explanation :
No Explanation available for this question

# Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is

1.  4

2.  1

3.  2

4.  3

4

3

Explanation :
No Explanation available for this question

# If group B contains 23 questions, then how many questions are there in group C

1.  1

2.  2

3.  3

4.  Cannot be determined

4

1

Explanation :
No Explanation available for this question

# If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B

1.  11 or 12

2.  12 or 13

3.  13 or 14

4.  14 or 15

4

13 or 14

Explanation :
No Explanation available for this question

# Let C be a circle with centre P0and AB be a diameter of C. Suppose P1is the mid point of the line segment P0B, P2is the mid point of the line segment P1B and so on. Let C1, C2, C3, ...... be circles with diameters P0P1, P1P2, P2P3... respectively. Suppose the circles C1,C2, C3, .... are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is

1.  8:9

2.  9:10

3.  10:11

4.  11:12

4

11:12

Explanation :
No Explanation available for this question

# A new flag is to be designed with six vertical stripes using some or all of the colours yellow, green, blue and red. Then, the number of ways this can be done such that no two adjacent stripes have the same colour is

1.  12 x 81

2.  16 x 192

3.  20 x 125

4.  24 x 216

4

12 x 81

Explanation :
No Explanation available for this question

# What is the value of y

1.  (√13+3)/2

2.  (√13-3)/2

3.  (√15+3)/2

4.  (√15-3)/2

4

(√15-3)/2

Explanation :
No Explanation available for this question

# A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk

1.  2:3

2.  1:2

3.  1:3

4.  3:4

4

2:3

Explanation :
No Explanation available for this question

1.  1/2

2.  -1

3.  1/2 or -1

4.  -1/2 or -1

4