12 -2-1-3 -2-3-5 -2-5-7 -2-7-9 -2-9-11 -2-997-999 -1-2002-

The correct option is D 2 12×5/3×7/5×9/7×11/9×13/11………1001/999×(1/2002) = 12/3×1001/2002=2 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Fraction

12 ×2-1/3 ×2-...

Question

$12 \times (2 - \frac{1}{3}) \times (2 - \frac{3}{5}) \times (2 - \frac{5}{7}) \times (2 - \frac{7}{9}) \times (2 - \frac{9}{11}) \dots \dots \dots (2 - \frac{997}{999}) \times (\frac{1}{2002})$ = ?

1001

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None of these

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Solution

The correct option is D
2

$12 \times \frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} \times \frac{11}{9} \times \frac{13}{11} \dots \dots \dots \frac{1001}{999} \times (\frac{1}{2002})$

$= \frac{\frac{12}{3} \times 1001}{2002} = 2$

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Similar questions

Q. The value of the expression

[2 - \frac{1}{3}] [2 - \frac{3}{5}] [2 - \frac{5}{7}]

...

[2 - \frac{997}{999}]

is equal to

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number 5 followed by 1 or 2, but not preceded by 8 ?

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12×(2−13)×(2−35)×(2−57)×(2−79)×(2−911)………(2−997999)×(12002) = ?

The correct option is D 2 12×53×75×97×119×1311………1001999×(12002) =123×10012002=2

$12 \times (2 - \frac{1}{3}) \times (2 - \frac{3}{5}) \times (2 - \frac{5}{7}) \times (2 - \frac{7}{9}) \times (2 - \frac{9}{11}) \dots \dots \dots (2 - \frac{997}{999}) \times (\frac{1}{2002})$ = ?

The correct option is D
2

$12 \times \frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} \times \frac{11}{9} \times \frac{13}{11} \dots \dots \dots \frac{1001}{999} \times (\frac{1}{2002})$

$= \frac{\frac{12}{3} \times 1001}{2002} = 2$