Ftre 2012 Paper 2

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Talent Reward Exam for students presently in

Class 10 Paper 2 One Sample question of each subject The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive).

Physics

Section-I Q.

Two parallel current carrying conductor exert some force on each other. If the current in both conductors is doubled the force become k times. Find the value of k.

Chemistry

Section-II Q.

In the following given metals: K, Na, Ca, Al, Fe, Zn How many of these metals do not react with hot or cold water?

Mathematics

Section-III Q.

For some x ∈

(

2,

)

3 fractional part of 1/x and x2 are the same. Find the value of x4 − 3/x.

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FTRE-2012-PCM-X-P2-(SAMPLE)-2

FIITJEE

Talent Reward Exam for students presently in

Class 10 Paper 2 ANSWERS / & SOLUTIONS

Physics Ans.

4

Chemistry Ans. Sol.

3 Al, Fe, Zn (these metals do not react with hot or cold water). But they react with steam to form metal oxides and H2.

Mathematics Ans. Sol.

5 1  2  and x ∈(2, 3). 2 1 1 1 Fraction part of = and that of x2 = x2 − 2 ⇒ = x 2 − 2 x x x ⇒ x3 − 2x = 1 ⇒ (x + 1) (x2 − x − 1) = 0, x ≠ − 1 ⇒ x2 = x + 1. 1 3 3 ⇒ x4 = 3x + 2 and = x 2 − 2 ⇒ = 3x − 3 ⇒ x 4 − = 5 . x x x

For x ∈

(

2,

)

3 ,

1  1 ∈ , x  3

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