₹ 730/- were divided among A, B, C in such a wa

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 Multiple Choice QuestionsMultiple Choice Questions

51.

The third proportional of the following numbers (x - y)2,  (x2 - y2)2 is:

  • (x + y)3 (x - y)2

  • (x + y)4 (x - y)2

  • (x + y)2 (x - y)2

  • (x + y)2 (x - y)2

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52.

The numbers x, y, z are respectively proportional to 2 : 3 : 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax - 8, then a is

  • 6

  • 3 over 2

  • 3

  • 5 over 2

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53.

₹ 730/- were divided among A, B, C in such a way that if A gets â‚¹ 3/-, then B gets ₹ 4/- and if B gets â‚¹ 3.50/- then C gets â‚¹ 3/-. The share of B exceeds that of C by

  • ₹ 30/-

  • ₹ 40/-

  • ₹ 70/-

  • ₹ 210/-


B.

₹ 40/-

A gets â‚¹ 3, then B gets â‚¹ 4.
∴   A : B = 3 : 4   ... (i)
B gets â‚¹ 3.50, then C gets â‚¹ 3
∴    B : C = 3.50 : 3 ...(ii)
From (i) and (ii),
∴   A : B : C = 3 x 3.50 : 4 x 3.50 : 4 x 3
                   = 10.5 : 14 : 12
  straight B apostrophe straight s space share space equals space fraction numerator 14 over denominator left parenthesis 10.5 plus 14 plus 12 right parenthesis end fraction space cross times space 730
space space space space space space space space space space space space space space space equals space fraction numerator 14 over denominator 36.5 end fraction space cross times space 730 space equals space ₹ space 280 divided by negative
straight C apostrophe straight s space Share space equals space fraction numerator 12 over denominator 36.5 end fraction space cross times space 730 space equals space ₹ space 240 space divided by space minus
∴  Required difference = 280 - 240 = â‚¹ 40/-  


 

 

 

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54.

A certain sum of money was divided between A, B and C in the ratio 5 : 6 : 9. If A received â‚¹ 450/-, the sum divided was:

  • ₹ 2,000/-

  • ₹ 1,800/-

  • ₹ 2,250/-

  • ₹ 1,000/-

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55.

The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many girl should be admitted to make the ratio 1 : 1.

  • 90%

  • 120%

  • 220%

  • 240%

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56.

In an ornament the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is

  • 60%

  • 40%

  • 30%

  • 20%

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57.

If the ratio of two numbers is 1 : 5 and their product is 320, then the difference between the square of these two numbers is

  • 1024

  • 1256

  • 1536

  • 1435

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58.

Two numbers whose sum is 84, can do be in the ratio:

  • 5 : 7

  • 13 : 8

  • 1 : 3

  • 3 : 2

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59.

A and B together have Rs 6,300/-. If 5 over 19 of A's income is equal to 2 over 5 of B's amount. The amount of B is

  • Rs 2,500

  • Rs 3,800

  • Rs 2,300

  • Rs 4,000


60.

If 60% of A = 3/4 of B,  then A: B  is

  • 9 :  20

  • 20 : 9

  • 4 : 5

  • 5 :  4

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