ADMISSION TEST FOR PROGRAMME 2008-10

SECTION – B (PART – i)
n n
Pr
37. The value of ∑
r = 1 r!
is:
n
A. 2
n
B. 2 - 1
1
C. 2 D. + 1
− n n
2
38. Mr. Jeevan wanted to give some amount of money to his two children, so that
although today they may not be using it, in the future the money would be of use to
them. He divides a sum of Rs.18,750/- between his two sons of age 10 years and 13
years respectively in such a way that each would receive the same amount at 3% p.a.
compound interest when he attains the age of 30 years. What would be the original
share of the younger son?
A. 8959.80 B. 8559.80
C. 8969.80 D. 8995.80
1 3
39. Let ω = − + i,
then the value of the determinant 1
2 2
1
A. 3ω B. 3 ω ( ω −1)
2
C. 3 ω D. 3ω
( 1 − ω)
1
1
1
2
2
− 1−
ω ω is:
40. There are 2 men, 3 women and 1 child in Pradeep’s family and 1 man, 1 woman and
2 children in Prabhat’s family. The recommended calorie requirement is- Men: 2400,
Women: 1900, Children: 1800 and for proteins is: Men: 55gm, Woman: 45 gm,
Children: 33gm. Calculate the total requirement of calories and proteins for each of
the two families.
A⎡12300
278⎤
A⎡12400
A. ⎢ ⎥ B.
B ⎣ 7900 166
⎢
⎦
B ⎣ 8000
A⎡12300
278⎤
A⎡15000
C. ⎢ ⎥ D.
B ⎣ 6600 200
⎢
⎦
B ⎣ 7900
300⎤
167
⎥
⎦
278⎤
166
⎥
⎦
41. x1 , x2
, x3...
x50
are fifty real numbers such that r < for r = 1, 2, 3…49. Five
numbers out of these are picked up at random. The probability that the five numbers
have as the middle is:
x xr
= 1
x
20
15
2
ω
4
ω