Ratios

Q.

The pairs of natural numbers whose least common multiple is $78$ and the greatest common divisor is $13$ are:

Q. Question 1 (d)
Find the ratio of:
d) 30 days to 36 hours

Q.

Question 1 (c)
Find the ratio of:
c) 9 m to 27 cm

Q.

Solve the following.

10 men can construct a 75km road in 5 days. In how many days can 15 men construct 45km road?

Q. The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ and its perimeter is 104 cm. The length of the longest side is

1. 52 cm.
2. 48 cm
3. 32 cm
4. 26 cm

Q.

Find the mean proportion between :$0.32$ and $0.08$

Q.

Fill in the blanks:

In direct proportion, if one quantity increases another quantity also ...........

Q.

Question 116 (i)

Health Application A doctor reports blood pressure in millimetres of mercury (mm Hg) as a ratio of systolic blood pressure to diastolic blood pressure (such as 140 over 80). Systolic pressure is measured when the heart beats and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.

Manohar is a healthy 37 yr old man whose blood pressure is in the normal category.
Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.

Q. What number must be added to each of the number 5 , 12 , 11 , , 21 to get the numbers in proportion?

Q.

Find the third proportional 1/7and3/14

Q.

Sarita bought eggs at $Rs.8.40$ a dozen. At what price per hundred must she sell them so as to earn a profit of $15\%$

Q.

In a class, there are $20$ boys and $40$ girls. What is the ratio of the number of boys to the number of girls?

Q.

(a) The ratio of 20 minutes to 2 hrs.
(b) Find $x$ if $5:4::125:x$
[2 MARKS]

Q.

Question 118 (i)

Language Application
Given below are few mathematical terms.
Find
The ratio of consonants to vowels in each of the terms.

Q.

The number of boys and girls in a school are $480$ and $720$ respectively. Find the ratio of the number of boys to the number of girls.

Q.

The ratio between two numbers is $2:3$. If their sum is $120$, the smaller of the two number is

1. $72$

2. $48$

3. $60$

4. $40$

Q. There are 56 teacher in a school out of them 42 are lady teacher and rest arr male teachers find the ratio
(1) male teachers to the lady teachers
(2) lady teachers to male treacher
​​​​(3) male teacher to total number of teachers

Q.

Question 116 (iii)

Health Application A doctor reports blood pressure in millimetres of mercury (mm Hg) as a ratio of systolic blood pressure to diastolic blood pressure (such as 140 over 80). Systolic pressure is measured when the heart beats and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.
Manohar is a healthy 37 yr old man whose blood pressure is in the normal category.
Calculate the ratio of average systolic to average diastolic blood pressures in the prehypertension category.

Q.

The ratio of weights of tin and zinc in an alloy is $2:5$. How much zinc is there in $31.5gm$ of alloy?

Q.

Amita has $12$ marbles and Reeta has $8$ marbles. Reeta says that she has $x/y$ times the marbles that Amita has, where x and y are co-prime numbers.

Then $x+y=$

___

Q.

One - tenth of a number added to one - sixth of the same number gives $64$ . Find the number .

Q.

the numbers(25-x), 34, (59-x) and 102 are in proportion . Find X

Q.

Mention the rule of proportion.

Q.

Tick the correct option for the following.

The ratio of the number of sides of a rectangle to the number of edges of a cuboid is -

1. $4:1$

2. $1:2$

3. $1:3$

4. $3:2$

Q.

The weights of two bags are in the ratio $7:6$. If the total weight of the both bags is $91kg$, find the weight of each bag.

Q.

Ram can type 50 words per minute. If the ratio of words typed by Rahul and Ram is 1 : 2, then Rahul can type ___ words per minute.

Q.

Express the given ratios in the simplest form: $1000:880$

Q.

If the radius of a circle is three times the even prime number, the diameter of the circle is ______.

___

Q. If three quantities are in the ratio a:b:c, then the value of those three quantities can be represented as ax, bx and cx respectively.

1. True
2. False

Q. Find the third proportional of:
(i) 2 m 40 cm and 40 cm
(ii) 1.8 and 0.6