Triplicate Ratio

Q.

A bag contains $1$ rupee $2$ rupee and $5$ rupees coins in the ratio of $4:8:5$ . The total amount was Rs. $90$ . The number of $5$rupee coin equal

1. $8$

2. $16$

3. $15$

4. $10$

Q.

What is the triplicate ratio of 9:4?

1. 81:64

2. 729:64

3. 729:65

4. 625:64

Q.

Question 108

Evalutate : $\left(0.3\right)\times \left(0.3\right)-\left(0.2\right)\times \left(0.2\right)$

Q.

Question 96

In a survey, 200 students were asked what influenced them most to buy their latest CD. The results are shown in the circle graph

(a) How many students said radio influenced them most?
(b) How many students were influenced by radio than by a music video channel?
(c) How many said a friend or relative influenced them or they heard the CD in a Shop?

Q.

$25:125::36:?$

1. $318$

2. $180$

3. $206$

4. $216$

Q.

Find the greatest number that divides $20,30,40$ leaving the remainder $2,6,4$ respectively.

Q.

Question 43

2__ $\frac{5}{3}=\frac{10}{3}$

Q. Question 1 (i)
$2-\frac{3}{5}$

Q. Question 5 (vii)
Find
76.5 $÷$ 0.15

Q.

If (3x - 9) : (5x + 4) is the triplicate ratio of 3: 4, find the value of x.

Q. Question 3(ii)
Find
$\frac{4}{9}÷5$

Q.

A ratio in simplest form is $7:12$. If its consequent is $144$, find its antecedent.

Q.

Question 13

$(-10)\times (-5)+(-7)$ is equal to

(a) -57
(b) 57
(c) -43
(d) 43

Q. $A,B$ and $C$ are partners sharing profits in the ratio of $5:3:2$. $C$ retires and his share is taken by $A$. Calculate new profit-sharing ratio of $A$ and $B$.

Q. If $\frac{a}{x-2y+3z}=\frac{b}{y-2z+3x}=\frac{c}{z-2x+3y}$ and
$x+y+z\ne 0$, then each ratio is also equal to ______.

1. $\frac{a+b+c}{2(x+y+z)}$
2. $\frac{a+b+c}{(x+y+z)}$
3. $\frac{2(a+b+c)}{x+y+z}$
4. $\frac{a+b+c}{x+y+z}$

Q. Let $R$ be a relation on the set of all natural numbers given by $aRb\iff a$ divides $b^2.$
Which of the following properties does $R$ satisfy ?
I. Reflexivity
II. Symmetry
III. Transitivity

1. I only
2. III only
3. I and III only
4. I and II only

Q. If $A:B=5:8$ and $B:C=12:7$ find $A:B:C$.

Q. If the ratio of the sum of the first n terms of two A.P.s is
$(7n+1):(4n+27)$ , then find the ratio of their 9th terms.

Q.

Question 45

State whether the following statement is true (T) or false (F).

If $\frac{x}{11}=15,thenx=\frac{11}{15}.$

Q. The triplicate ratio of $2:5$ is ____

1. $8:125$
2. $4:25$
3. $\sqrt[3]{32}:\sqrt[3]{35}$
4. $5:2$

Q. Three numbers are in the ratio $2:3:5$ and the sum of these numbers is $800$. Find the numbers.

Q. If $x:y=2:5,y:z=15:8$ and $z:w=3:2$, then find the triplicate ratio of $x:w$

1. $\sqrt[3]{39}:\sqrt[3]{38}$
2. $3:4$
3. $729:512$
4. $81:64$

Q. Simplify:
$\frac{1}{\sqrt{14}}:\frac{1}{2}:\frac{1}{40}:?$

Q.

The mid point of 2 co-ordinates (x, y) and (a, b) is

1. ((x+a)/2 , (y+b)/2)

2. ((x+b) , (y+a))

3. ((x+b)/2 , (y+b)/2)

4. (x+a , y+b)

Q. The triplicate ratio of $\sqrt[3]{3b^2}:\sqrt[3]{3a^2}$ is _____

1. $b^2:a^2$
2. $a:b$
3. $a^2:b^2$
4. $b^3:a^3$

Q. If $(5x+3):(3x+1)$ is the triplicate ratio of $4:3$, then $x=$ _____

1. $4$
2. $17$
3. $57$
4. $\frac{17}{57}$

Q. $A,B,C$ and $D$ were partners in a firm sharing in $5:3:2:2$ ratio. $B$ and $C$ retired from the firm. $B^{\prime }s$ share was acquired by $D$ and $C^{\prime }s$ share was acquired by $A$. Calculate new profit-sharing ratio of $A$ and $D$.

Q. The triplicate ratio of $4:7$ is _____

1. $16:49$
2. $49:16$
3. $\sqrt[3]{34}:\sqrt[3]{37}$
4. $64:243$

Q. Express each of the following ratios in simplest form:
$4:5:\left(9/2\right)$

Q. If $x:y=3:8$ and $y:z=4:9$, then the triplicate ratio of $x:z$ is _____

1. $1:216$
2. $27:512$
3. $3:9$
4. $64:729$