If  and , then the ratio 2x : 3y equals from Quantitative Ap

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 Multiple Choice QuestionsMultiple Choice Questions

31.

An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was ₹ 18,900, find the ratio in which the wage bill is decreased.

  • 20 : 21

  • 21 : 20

  • 20 : 19

  • 20 : 19

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32.

There is a ratio of 5 : 4 between two numbers. If 40 percent of the first is 12, then 50% of the second number is

  • 12

  • 24

  • 18

  • 18

220 Views

33.

The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is

  • 95

  • 76

  • 100

  • 100

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34.

₹ 864 is divided among A, B and C such that 8 times A's share is equal to 12 times B's share and also equal to 6 times C's share. How much did B get?

  • ₹ 399

  • ₹ 192

  • ₹ 288

  • ₹ 288

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35.

The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is

  • 41,800

  • 48,900

  • 56,800

  • 56,800

314 Views

36.

Annual income of Amit and Veeri are in the ratio 3 : 2, while the ratio of their expenses is 5 : 3. If at the end of year each saves ₹ 1,000, the annual income of Amit is

  • ₹ 9,000

  • ₹ 8,000

  • ₹ 7,000

  • ₹ 7,000

238 Views

37.

If A : B = 2 : 3,  B : C = 4 : 5  and C : D = 5 : 9, then A : D is equal to

  • 11 : 17

  • 8 : 27

  • 5 : 9

  • 5 : 9

164 Views

38.

Rs. 1050 are divided among A, B and C in such a way that the share of A is 2 over 5 of the combined share of B and C. A will get

  • Rs. 200

  • Rs. 300

  • Rs. 320

  • Rs. 320

284 Views

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39.

If A : B = 2 : 3  and B : C = 3 : 7, then A + B : B + C : C + A is

  • 4 : 8 : 9

  • 5 : 8 : 9

  • 5 : 10 : 9

  • 5 : 10 : 9

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40.

If left parenthesis straight x cubed space minus space straight y cubed right parenthesis thin space colon thin space left parenthesis straight x squared plus xy plus straight y squared right parenthesis space equals space 5 space colon space 1 and left parenthesis straight x squared minus straight y squared right parenthesis thin space colon left parenthesis straight x minus straight y right parenthesis space equals space 7 space colon space 1, then the ratio 2x : 3y equals

  • 4 : 1

  • 2 : 3

  • 4 : 3
  • 4 : 3


A.

4 : 1

fraction numerator straight x cubed minus straight y cubed over denominator straight x squared plus xy plus straight y squared end fraction space equals space 5 over 1
rightwards double arrow space space space space space fraction numerator left parenthesis straight x minus straight y right parenthesis thin space left parenthesis straight x squared plus xy plus straight y squared right parenthesis over denominator straight x squared plus xy plus straight y squared end fraction space equals space 5
rightwards double arrow space space space space straight x space minus space straight y space equals space 5 space space space space space space space space space space space... left parenthesis straight i right parenthesis

Again,
  fraction numerator straight x squared minus straight y squared over denominator straight x minus straight y end fraction space equals space 7
rightwards double arrow space space fraction numerator left parenthesis straight x plus straight y right parenthesis thin space left parenthesis straight x minus straight y right parenthesis over denominator straight x minus straight y end fraction space equals space 7
rightwards double arrow space space space straight x space plus space straight y space equals space 7 space space space space space space... left parenthesis ii right parenthesis
On adding equations (i) and (ii),
2x = 12  ⟹   x = 6
From equations (ii),
    x + y = 7  ⟹  y  = 7 - 6  = 1
therefore space space space fraction numerator 2 straight x over denominator 3 straight y end fraction space equals space fraction numerator 2 space cross times space 6 over denominator 3 space cross times space 1 end fraction space equals space 4 space colon space 1
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