Page 212 - Ganit Kaushal

17 15 2 6
5. Find the difference of: (a) and (b) and
24 16 3 7
1 3 1
6. Sandhya buys 1 kg of apples and 1 kg of oranges. She also buys 1 kg of guavas. Find the total
2 8 4
weight of the fruits with her.
1 3
7. Sonia had 11 L of oil in her kitchen. She used 6 L of it. Find the quantity of oil left with her.
2 4
Miscellaneous Solved Examples

There are four options (Q. 1 to Q. 7), out of which only one is correct. Choose the correct option.
4
Ex 1. The fraction which is not equal to is
5
40 12 16 9
(a) (b) (c) (d)
50 15 20 15
9 3 4
Sol. (d)  = and all others are equal to
15 5 5
5
Ex 2. The two consecutive integers between which the fraction lies are
7
(a) 5 and 6 (b) 0 and 1 (c) 5 and 7 (d) 6 and 7
Sol. (b)  Proper fractions lie between 0 and 1.
1
Ex 3. When is written with a denominator of 12, the numerator is
4
(a) 3 (b) 8 (c) 24 (d) 12
×
Sol. (a)  1 = 13 = 3
4 43 12
×
Ex 4. Which of the following is not in the lowest form?
5 15 13 27
(a) (b) (c) (d)
7 20 33 28
Sol. (b)  HCF (15, 20) = 5 ≠ 1
Ex 5. Which of the following fractions is the greatest?
5 5 5 5
(a) (b) (c) (d)
7 6 9 8
Sol. (b)  In unlike fractions with equal numerators, the fraction with the lowest denominator is the greatest.
11
Ex 6. can be expressed in the form
7
(a) 7 1 (b) 4 1 (c) 1 4 (d) 11 1
4 7 7 7
Sol. (c)  When 11 is divided by 7, quotient is 1 and remainder is 4.
4
Ex 7. The mixed fraction 5 can be expressed as
7
33 39 33 39
(a) (b) (c) (d)
7 7 4 4
Whole Number × Denominator +Numerator 39
Sol. (b)  Using the formula , we get .
Denominator 7

210 Mathematics-6