If the ratio of two numbers is 1 : 5 and their product is 320, th

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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/-

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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


C.

1536

Let the numbers be x and 5x respectively.
According to the question,
   straight x space cross times space 5 straight x space equals space 320
rightwards double arrow space space 5 straight x squared space equals space 320
rightwards double arrow space space straight x squared space equals space 320 over 5 space equals space 64 space rightwards double arrow space space straight x space equals space 8
∴   Difference between the squares of these two numbers
      = (5 x 8)2 - (8)2 = 1600 - 64 = 1536

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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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