If a sheet of paper having an area of $42\dfrac{1}{4}$ cm² is cut into 13 strips of equal area, then the area of each strip will be

1. $4\dfrac{1}{4}$cm²

2. $3\dfrac{1}{4}$cm²

3. $4\dfrac{1}{52}$cm²

4. $7\dfrac{1}{13}$cm²

Fill in the blanks :

(i) If $\dfrac{a}{b}$ is a fraction, then a and b are …………… .

(ii) In an improper fraction, the numerator is …………… the denominator.

(iii) The product of two improper fractions is a/an …………… fraction.

(iv) $\dfrac{a}{b}$ ÷ $\dfrac{c}{d}$ equal to the product of $\dfrac{a}{b}$ and …………… .

(v) The product of two proper fractions is …………… than each of the given fractions.

(vi) The reciprocal of a proper fraction is a/an …………… fraction.

(vii) The fraction whose reciprocal is equal to the fraction itself is …………… .

When Prabhu Dayal died, he left all his money for his grand-children, 3 of whom were boys and 5 were girls. In his will he insisted that each grand-child must get equal share of the total amount of ₹56,00,000.

(1) What was the share of each child ?

1. ₹8,00,000

2. ₹11,20,000

3. ₹6,40,000

4. ₹7,00,000

(2) What fraction of the money did the girls receive ?

1. $\dfrac{5}{3}$

2. $\dfrac{3}{5}$

3. $\dfrac{5}{8}$

4. $\dfrac{3}{8}$

(3) How much did the boys receive in total ?

1. ₹21,00,000

2. ₹24,00,000

3. ₹35,00,000

4. ₹40,00,000

(4) If one of the girls did not take her share and the money is divided among the remaining grand-children, the fraction of the money received by the boys is :

1. $\dfrac{3}{5}$

2. $\dfrac{2}{5}$

3. $\dfrac{4}{7}$

4. $\dfrac{3}{7}$

Amar is an electrician. He bought $7\dfrac{1}{2}$ bundles of an electric cable where each bundle had $202\dfrac{4}{5}$ m of cable.

(1) Find the total length of the cable purchased by Amar.

1. 1427 m
2. 1521 m
3. 1605 m
4. 1717 m

(2) If the cost of cable is ₹$6\dfrac{2}{3}$ per metre, find the amount paid by Amar.

1. ₹8830
2. ₹9520
3. ₹10140
4. ₹11280

(3) Amar used $2\dfrac{1}{2}$ bundles of cable for electric connections in the top floor of the building. What length of cable was used for the top floor ?

1. 476 m
2. 507 m
3. 625 m
4. 712 m

(4) Amar cut a length of $13\dfrac{4}{5}$m from a bundle and divided the remaining cable of this bundle into pieces of 21 m, length each. How many pieces of 21 m did he get from this bundle ?

1. 9
2. 10
3. 11
4. 12