If I- 3 4 - 5 6 -II-3- 4- 5- 6 - -III- 3- 4- 5 - - 6-IV-3- 45- 6- then which of the following are equal-

The correct option is C I and IV are equal I= 3 4 × 6 5 = 9 10 II=3÷[ 4 5 × 1 6 #160;] =3÷[ 2 15 #160;] = 45 2 III=[ ...

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Standard X

Mathematics

Solving Inequalities

If I= 3 4 ÷...

Question

If $I = \frac{3}{4} \div \frac{5}{6}, I I = 3 \div [(4 \div 5) \div 6], I I I = [3 \div (4 \div 5)] \div 6, I V = 3 \div 4 (5 \div 6)$ , then which of the following are equal?

I

and

I I

are equal

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I

and

I I I

are equal

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I

and

I V

are equal

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All are equal

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Solution

The correct option is C $I$ and $I V$ are equal
$I = \frac{3}{4} \times \frac{6}{5} = \frac{9}{10}$
$I I = 3 \div [\frac{4}{5} \times \frac{1}{6}] = 3 \div [\frac{2}{15}] = \frac{45}{2}$
$I I I = [3 \div \frac{4}{5}] = 3 \times \frac{5}{4} \times \frac{1}{6} = \frac{5}{8}$
$I V = 3 \div 4 (\frac{5}{6}) = 3 \times \frac{6}{20} = \frac{9}{10}$
Hence $I$ and $I V$ are equal.

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Similar questions

Q. If

I = \frac{13}{4} \div \frac{5}{6}

I I = 13 \div [(4 \div 5) \div 6]

I I I = [13 \div (4 \div 5)] \div 6

and

I V = 13 \div 4 (5 \div 6)

then, which of the following are equal?

I = \frac{3}{4} \div \frac{5}{6}

I I = 3 \div

[(

4 \div 5

)

\div 6

]

I I I = [3 \div (4 \div 5)] \div 6

I V = 3 \div 4 (5 \div 6)

Select the correct option from the following.

Match Column A appropriately with Column B.

$\begin{matrix} C o l u m n A & C o l u m n B (i)The Central Nervous System constitutes of & 1.Ears,Eyes,Nose (ii)Reflex axes are formed in & 2.Olfactory (iii)Receptors that detect taste & 3. Spinal cord and the Brain (iv)Receptors that detect smell & 4. Muscles and Glands (v)Examples of receptor organs are & 5. Gustatory (vi)Examples of effector organs are & 6. Spinal Cord (vii)Peripheral Nervous System consists of & 7. Spinal nerves from the spinal cord and cranial nerves from the brain \end{matrix}$

Question 48

Which pair of ratios are equal? and why?

(i) $\frac{2}{3}, \frac{4}{6}$
(ii) $\frac{8}{4}, \frac{2}{1}$
(iii) $\frac{4}{5}, \frac{12}{20}$

Match Column A appropriately with Column B.

$\begin{matrix} C o l u m n A & C o l u m n B (i)The Central Nervous System constitutes of & 1.Ears,Eyes,Nose (ii)Reflex arcs are formed in & 2.Olfactory (iii)Receptors that detect taste & 3. Spinal cord and the Brain (iv)Receptors that detect smell & 4. Muscles and Glands (v)Examples of receptor organs are & 5. Gustatory (vi)Examples of effector organs are & 6. Spinal Cord (vii)Peripheral Nervous System consists of & 7. Spinal nerves from the spinal cord and cranial nerves from the brain \end{matrix}$

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If I=34÷56,II=3÷[(4÷5)÷6],III=[3÷(4÷5)]÷6,IV=3÷4(5÷6), then which of the following are equal?

The correct option is C I and IV are equalI=34×65=910II=3÷[45×16]=3÷[215]=452III=[3÷45]=3×54×16=58IV=3÷4(56)=3×620=910Hence I and IV are equal.

If $I = \frac{3}{4} \div \frac{5}{6}, I I = 3 \div [(4 \div 5) \div 6], I I I = [3 \div (4 \div 5)] \div 6, I V = 3 \div 4 (5 \div 6)$ , then which of the following are equal?