Aptitude ratio MCQ

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Ratio

Question 81 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If 0.75 : x :: 5 : 8, then x is equal to:
A
1.2
B
1.12
C
1.25
D
1.3
Question 81 Explanation: 
$\left( {x \times 5} \right) = \left( {0.75 \times 8} \right) \Rightarrow x = \left( {\frac{6}{5} = 1.20} \right)$
Question 82 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio
A
3:13
B
9:13
C
13:9
D
36:13
Question 82 Explanation: 
\begin{align} & \left( {\frac{A}{B}} \right) \times \left( {\frac{B}{C}} \right) = \left( {\frac{3}{4}} \right) \times \left( {\frac{{12}}{{13}}} \right) \cr & Or, \, \frac{A}{C} = \frac{{36}}{{52}} = 9:13 \cr\end{align}
Question 83 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The difference between two positive numbers is 10 and the ratio between them is 5:3. Find the product of the two numbers.
A
275
B
175
C
125
D
375
Question 83 Explanation: 
Let the two positive numbers be 5x and 3x respectively.

According to question,

5x-3x = 10;

Or, x = 5.

Then numbers are 25 and 15.

Thus, their product = 25*15 = 375.

Question 84 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
A
Rs. 1500
B
Rs. 2000
C
Rs. 500
D
None of these
Question 84 Explanation: 
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x - 3x = 1000

x = 1000.

∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

Question 85 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to =?
A
1 : 2
B
7 : 2
C
14 : 3
D
2 : 1
Question 85 Explanation: 
\begin{align} & {\text{ }}a{\text{ }}:{\text{ }}b{\text{ }}:{\text{ }}c \cr & {\text{ }}3{\text{ }}:{\text{ }}4{\text{ }}:{\text{ }}7{\text{ }} \cr & \boxed{3x:4x:7x} \Rightarrow 14x \cr & \therefore a + b + c = 14x \cr & c = 7x \cr & \therefore \left( {a + b + c} \right):c \cr & = 14x:7x \cr & = 2:1 \cr\end{align}
There are 85 questions to complete.

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