What is the number of distinct triangles with integral valued sides and perimeter 14

1.  6

2.  5

3.  4

4.  3

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

Let S be the set of prime numbers greater than or equal to 2 and less than 100. [Multiply all elements of S. With how many consecutive zeros will the product end]

1.  1

2.  4

3.  5

4.  10

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

Let S be the set of integers x such that: (i)100 ≤ x ≤ 200 (ii)x is odd (iii)x is divisible by 3 but not by 7 How many elements does S contain

1.  16

2.  12

3.  11

4.  13

View Answer  
4
Correct Answer :

13


Explanation :
No Explanation available for this question

One red flag, three white flags and two blue flags are arranged in a line such that, (a) no two adjacent flags are of the same colour.(b) the flags at the two ends of the line are of different colours. In how many different ways can the flags be arranged

1.  6

2.  4

3.  10

4.  2

View Answer  
4
Correct Answer :

6


Explanation :
No Explanation available for this question

Sam has forgotten his friend's seven-digit telephone number. He remembers the following : the first three digits are either 635 or 674, the number is odd, and the number nine appears once. If Sam were to use a trial and error process to reach his friend, what is the minimum number of trials he has to make before he can be certain to succeed

1.  1000

2.  2430

3.  3402

4.  3006

View Answer  
4
Correct Answer :

3402


Explanation :
No Explanation available for this question

The table below shows the age-wise distribution of the population of Reposia. The number of people aged below 35 years is 400 million.  Age group  Percentages  Below 15 years  30.00  15-24  17.75  25-34  17.00  35-44  14.50  45-54  12.50  55-64  7.10  65 and above  1.15 If the ratio of females to males in the 'below 15 years' age group is 0.96, then what is the number of females (in millions) in that age group

1.  82.8

2.  90.8

3.  80.0

4.  90.0

View Answer  
4
Correct Answer :

90.8


Explanation :
No Explanation available for this question

A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence-posts at six metre intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was five less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them eight metres apart. What is the length of the side of his property and how many posts did he buy

1.  100 metres, 15

2.  100 metres, 16

3.  120 metres, 15

4.  120 metres, 16

View Answer  
4
Correct Answer :

120 metres, 16


Explanation :
No Explanation available for this question

Let D be a recurring decimal of the form, D = 0. a1 a2 a1 a2 a1 a2..................., where digits a1 and a2 lie between 0 and 9. Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by D

1.  18

2.  108

3.  198

4.  288

View Answer  
4
Correct Answer :

198


Explanation :
No Explanation available for this question

Consider a circle with unit radius. There are 7 adjacent sectors, S1, S2, S3, ........, S7 in the circle such that their total area is (1/8)th of the area of the circle. Further, the area of the jth sector is twice that of the (j-1)th sector, for j = 2, .........., 7. What is the angle, in radians, subtended by the arc of S1 at the centre of the circle

1.  π/508

2.  π/2040

3.  π/1016

4.  π/1524

View Answer  
4
Correct Answer :

π/508


Explanation :
No Explanation available for this question

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC

1.  x + y = - 1

2.  x - y = - 1

3.  x + y = 1

4.  None of the above

View Answer  
4
Correct Answer :

x + y = - 1


Explanation :
No Explanation available for this question
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