Mathematics
Fill in the blanks :
(i) Ratio has …………… unit.
(ii) To convert a ratio a : b in its simplest form, we divide a and b by …………… of a and b.
(iii) If a : b : : b : c, then a, b, c are said to be in …………… proportion.
(iv) If a, b, c are in continued proportion, then c is called the …………… proportional to a and b.
(v) In a proportion, the first and fourth terms are called the …………… .
Ratio Proportion
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Answer
(i) Ratio has no unit.
(ii) To convert a ratio a : b in its simplest form, we divide a and b by H.C.F. of a and b.
(iii) If a : b : : b : c, then a, b, c are said to be in continued proportion.
(iv) If a, b, c are in continued proportion, then c is called the third proportional to a and b.
(v) In a proportion, the first and fourth terms are called the extremes.
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Related Questions
The mean proportional between 5 and 45 is
- 10
- 12
- 15
- 25
Which of the following are in continued proportion?
- 4, 8, 12
- 5, 15, 25
- 6, 36, 216
- 9, 12, 18
Write true (T) or false (F) :
(i) If a, b, c, d are in proportion, then ac = bd.
(ii) If a : b : : c : d, then a, b, c, d are said to be in absolute proportion.
(iii) If a, b, c, are in continued proportion, then the mean proportion b = .
(iv) If x is the third proportional to a, b, then a : b : : b : x.
(v) 1, 2, 3, 4, are in proportion.
Ram Nath sold one of his properties worth ₹ 38,00,000. He wished to divide this money between his two daughters Priya and Seema in the ratio 7 : 12. He sold another property for ₹ 60,00,000. He divided this money between Priya and Seema in the ratio
(1) What amount did Priya receive from the sale of second property ?
- ₹ 14,00,000
- ₹ 24,00,000
- ₹ 25,00,000
- ₹ 35,00,000
(2) What amount did Seema receive from the sale of first property ?
- ₹ 14,00,000
- ₹ 24,00,000
- ₹ 25,00,000
- ₹ 49,00,000
(3) The difference between the total amounts received by Priya and Seema is :
- ₹ 0
- ₹ 1,00,000
- ₹ 2,00,000
- ₹ 5,00,000
(4) The ratio between the amounts received by Seema from the sale of the first and the second properties is :
- 1 : 1
- 12 : 7
- 24 : 25
- 14 : 35