The product of two rational numbers is −\frac{40}{3} If one of the two numbers is −\frac{5}{2} then the reciprocal of the other number lies between:

CTET 2 Math and Science 21 Jan 2024 Paper

Question : 40 of 150

Marks: +1, -0

The product of two rational numbers is

−\;{40}/{3}

If one of the two numbers is

−\;{5}/{2}

then the reciprocal of the other number lies between:

Solution:

Let the Two numbers be

a

and

b

a × b=-40 \/ 3

Let

a =-5 \/ 2

-5 \/ 2 × b=-40 \/ 3

b=-40 \/ 3 × 2 \/-5=16 \/ 3=5.3333

\;\text " now, "\; 1 \/ b=1 \/ 5.333=0.18761726078

9 \/ 50=0.18 \;\text " and "\; 1 \/ 5=0.20

Hence, The reciprocal of the numbers lies between

9 \/ 50

and

1 \/ 5

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