# What is the probability that the sum of the digits of a 10-digit numberis divisible by 10

1.  1/5

2.  1/10

3.  1/15

4.  1/20

5.  none of these

5

1/10

Explanation :
No Explanation available for this question

# n4 − 20n2 + 4 = k where k is a prime number and n is an integer. How many such k exist

1.  0

2.  2

3.  4

4.  6

5.  none of these

5

0

Explanation :
No Explanation available for this question

# The last 7 digits of n! are 8000000. What is n

1.  25

2.  26

3.  27

4.  28

5.  29

5

27

Explanation :
No Explanation available for this question

# A pythagorean triangle is a triangle with one angle equal to 900 and sides of integer length. Find the number of pythagorean triangles whose area is twice the perimeter

1.  0

2.  1

3.  2

4.  3

5.  4

5

3

Explanation :
No Explanation available for this question

# For the triangles found in problem132) , find the sum of areas of all the triangles ( in sq units)

1.  180

2.  300

3.  276

4.  396

5.  450

5

396

Explanation :
No Explanation available for this question

# Find all ordered pair of integers (a,b) such that a(a + 1) = b(b + 1)(b +2)(b + 3)

1.  8

2.  12

3.  16

4.  24

5.  none of these

5

8

Explanation :
No Explanation available for this question

# Which of the following best reflects the central theme of this poem

1.   If you don't have high expectations, you will not be disappointed.

2.  Don't rush to your goal; the journey is what enriches you

3.  The longer the journey the greater the experiences you gather.

4.  You cannot reach Ithaka without visiting Egyptian ports

4

Don't rush to your goal; the journey is what enriches you

Explanation :
No Explanation available for this question

# The poet recommends a long journey. Which of the following is the most comprehensive reason for it

1.   You can gain knowledge as well as sensual experience

2.  You can visit new cities and harbours.

3.  You can experience the full range of sensuality.

4.  You can buy a variety of fine things

4

You can gain knowledge as well as sensual experience

Explanation :
No Explanation available for this question

# In the poem, Ithaka is a symbol of

1.  the divine mother

3.  the path to wisdom

4.  life's distant goal

4

life's distant goal

Explanation :
No Explanation available for this question

# What does the poet mean by 'Laistrygonians' and 'Cyclops'

1.   Creatures which, along with Poseidon, one finds during a journey

2.  Mythological characters that one should not be afraid of.

3.  Intra -personal obstacles that hinder one’ s journey.

4.  Problems that one has to face to derive the most from one's journey.

4