Bissoy.com
Doctors Medicines MCQs Q&A

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers? Correct Answer 177

Let the second & third numbers are 2x & 3x respectively. ATQ, 5x*6x = 4320 30*x*x = 4320 x*x = 144 x=12 Hence, second number = 5x = 5*12 = 60 Third number = 6x = 6*12 = 72 Ratio of first & second number = ¾ Hence, first number = ( ¾)*60 = 45 Sum of these 3 numbers = 60+72+45 = 177

Related Questions

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Select from the alternatives that combination of numbers, which will form a meaningful word if given letters are arranged accordingly. \(\begin{matrix} \ \ \ \text{A} & \rm R & \rm W & \rm L & \rm E & \rm K \\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\\ \ \ 1 & 2 & 3 & 4 & 5 & 6 \end{matrix}\)
Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right
Of three positive numbers, the ratio of first and second is 3 : 4, that of second and third is 5 : 6 and the product of second and third is 4320. What is the sum of the three numbers?
In a coded language “ADETP” is coded as “$&$&&” and “DTPQUV” is coded as “&&&&$&”? What is the code word for “&&$$&$”?
দুটি সংখ্যার অনুপাত ৫ঃ৬ অনুপাত ৫ঃ৬ এবং তাদের গ.সা.গু ৪ হলে, চোট সংখ্যাটি কত?
Three cars start from point A together and reach point B at equal intervals. Second car whose sped is less than third car but more than first car taken a u turn and starts its journey towards A whereas third car heads for point C which is 100 km away from point B. First car and third car meet each other at mid way of A and C after third car takes u turn from C. First car travels half the distance between A and B when second reaches B. The sum of speed of second car and third car is 100 kmh.  What is the difference between speed of third car and first car?
Of three positive numbers, the ratio of first and second is 2 : 3, ratio of second and third is 3 : 4. The product of first and third is 28800. What is the sum of the three numbers?
Of three positive numbers, the ratio of the first and the second is 5 : 2, the ratio of the second and the third is 5 : 4. The product of the first and the third is 1800. What is the sum of the three numbers?