Aptitude ratio MCQ

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Ratio

Question 86 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which of the following is the lowest ratio?
A
15 : 23
B
17 : 25
C
21 : 39
D
7 : 15
Question 86 Explanation: 
\begin{align} & \Rightarrow 7:15 = \frac{7}{{15}} = 0.466 \cr & \Rightarrow {\text{15:23}} = \frac{{15}}{{23}} = 0.652 \cr & \Rightarrow {\text{17:25}} = \frac{{17}}{{25}} = 0.68 \cr & \Rightarrow 21:39 = \frac{{21}}{{39}} = 0.538 \cr\end{align} Clearly, 7 : 15 is the lowest
Question 87 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If 2A = 3B = 4C, the A : B : C is =?
A
2 : 3 : 4
B
3 : 4 : 6
C
6 : 4 : 3
D
4 : 3 : 2
Question 87 Explanation: 
\begin{align} & \, \, \, {\text{A}}\, \, \, \, \, \, \, {\text{:}}\, \, \, \, \, \, {\text{B}}\, \, \, \, \, \, {\text{:}}\, \, \, \, \, {\text{C}} \cr & 3 \times 4:2 \times 4:2 \times 3 \cr & \, \, \, 12\, \, \, \, :\, \, \, \, \, {\text{8}}\, \, \, \, \, :\, \, \, \, {\text{6}} \cr & \, \, \, \boxed{\, \, 6\, \, \, \, :\, \, \, \, 4\, \, \, \, \, \, :\, \, \, \, 3} \cr\end{align}
Question 88 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A box contains 280 coins of one rupee, 50 paise and 25 paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is =?
A
70
B
60
C
80
D
90
Question 88 Explanation: 
Rs. 1 : 50 P : 25 p
Values of coins 8x : 11x : 3x
Number of coins 8x$\times$1 : 4x$\times$2 : 3x$\times$4
8x : 8x : 12x
\begin{align} & \therefore {\text{Total coins}} \cr & \Rightarrow 8x + 8x + 12x = 28x \cr & \Rightarrow 28x = 280{\text{ (given)}} \cr & \Rightarrow x = \frac{{280}}{{28}} \cr & \Rightarrow x = 10 \cr\end{align} ∴ Number of 50 P coins are 8x

= 8 $\times$ 10 = 80

Question 89 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5. How many litres of the latter must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water =?
A
52/5 litres
B
33/4 litres
C
52/3 litres
D
41/2 litres
Question 89 Explanation: 
image rakesh yadav 1
Question 90 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Rs. 33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is -
A
Rs. 16257
B
Rs. 12390
C
Rs. 13290
D
Rs. 14868
Question 90 Explanation: 
\begin{align} & {\text{A}}:{\text{B}} = 3:7, \cr & {\text{B}}:{\text{C}} = 6:5, \cr & = \left( {6 \times \frac{7}{6}} \right):\left( {5 \times \frac{7}{6}} \right) \cr & = 7:\frac{{35}}{6}. \cr & {\text{A}}:{\text{B}}:{\text{C}} = 3:7:\frac{{35}}{6} \cr & = 18:42:35. \cr & {\text{Sum of ratio terms}} \cr & = \left( {18 + 42 + 35} \right) \cr & = 95 \cr & \therefore {\text{B's share}} = \cr & {\text{Rs}}{\text{.}}\left( {33630 \times \frac{{42}}{{95}}} \right) \cr & = {\text{Rs}}{\text{. }}14868. \cr\end{align}
There are 90 questions to complete.

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