EVALUESERVE

2010

1) What is the product of all factors of the number N=6^4 X 10^2, which are divisible by 5?

a) 2^210 X 3^102 X 5^140

b) 2^210 X 3^140 X 5^105

c) 2^140 X 3^210 X 5^102

d) 2^140 X 3^102 X 5^210

e) 2^102 X 3^210 X 5^140

2) . A dry fruit seller purchased 3 kinds of nuts at the rate of Rs.100/kg, Rs.80/kg and Rs.60/kg

respectively. He then mixed them in the ratio of 3 : 4 : 5 by weight and sold the same to a

customer at 50% profit. The price per kg at which he sold the mix to the customer is :

a. Rs.110

b. Rs.90

c. Rs.70

d. None of these

3) There are 50 integers a1, a2… a50, not all of them necessarily different. Let the greatest integer of these50 integers

be referred to as G, and the smallest integer be referred to as L. The integers a1 through a24 formsequence S1, and

the rest form sequence S2. Each member of S1 is less than or equal to each member of S2

4)

5)

6)

if a number (be)^2 = mpb where b,e,p,m are distinct integers what is the

value of m ?

(19) ^2 = 361 (ANS)

7)

a straight line having absolute slope equal to minimum distance from centre is

a perfect line . Find the area enclosed by all such perfect lines having

absolute value of slope =1 ?

a) 2 b) 4 c) 8 d) 16

Ans =4

8 ) given a real function f(x) = x2 +1 . find a real value of x for F(x), F(2x), F(4x) are

in HP ?

I think the answer is x=0