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

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

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


B.

(x + y)4 (x - y)2

Let a = (x - y)2 = 1st Proprotion,   b=  (x2 - y2)2 = 2nd Proportion,

Now C = Third proprotion = straight b squared over straight a

                                  equals space fraction numerator open curly brackets open parentheses straight x squared minus straight y squared close parentheses squared close curly brackets squared over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction
equals space open square brackets fraction numerator left parenthesis straight x squared minus straight y squared right parenthesis to the power of 4 over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction close square brackets space equals space fraction numerator left parenthesis straight x minus straight y right parenthesis to the power of 4 thin space left parenthesis straight x plus straight y right parenthesis to the power of 4 over denominator left parenthesis straight x minus straight y right parenthesis squared end fraction
therefore space space straight c space equals space left parenthesis straight x plus straight y right parenthesis to the power of 4 space left parenthesis straight x minus straight y right parenthesis squared

 

    

110 Views

Advertisement
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

92 Views

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/-

59 Views

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/-

59 Views

Advertisement
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%

68 Views

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%

87 Views

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

65 Views

58.

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

  • 5 : 7

  • 13 : 8

  • 1 : 3

  • 3 : 2

59 Views

Advertisement
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

76 Views

Advertisement