What must be added to each term of the ratio 7 : 11, so as to mak

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 Multiple Choice QuestionsMultiple Choice Questions

61.

Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller of the numbers is

  • 36

  • 24

  • 18

  • 12

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62.

What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4?

  • 8

  • 7.5

  • 6.5

  • 5


D.

5

Let the required number is x, then
   rightwards double arrow space space space space fraction numerator 7 plus straight x over denominator 11 plus straight x end fraction space equals space 3 over 4
rightwards double arrow space space space space 28 space plus space 4 straight x space equals space 33 space plus space 3 straight x
rightwards double arrow space space space space space 4 straight x space minus space 3 straight x space equals space 33 space minus space 28 space
space rightwards double arrow space space space space straight x space equals space 5

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63.

If ₹ 1000 is divided between A and B in the ratio 3 : 2, then A will receive

  • ₹ 400

  • ₹ 500

  • ₹ 600

  • ₹ 800

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64.

What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2?

  • 5 is subtracted

  • 10 is added

  • 7 is added

  • 10 is subtracted

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65.

The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves ₹ 200 per week, then the sum of their weekly income is

  • ₹ 3200

  • ₹ 4200

  • ₹ 4800

  • ₹ 5600

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66.

If  x  :  y  = 5 : 6  then (3x2 - 2y2) : (y2 - x2) is

  • 7 : 6

  • 11 : 3

  • 3 : 11

  • 6 : 7

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67.

The incomes of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves 1/4 of his income, then the saving of A, B and C are in the ratio of 

  • 69 : 56 : 48

  • 47 : 74 : 99

  • 37 : 72 : 49

  • 56 : 99 : 69

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68.

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is

  • 20

  • 27

  • 39

  • 52

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69.

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

  • increased in the ratio 56 : 69

  • decreased in the ratio 56 : 45

  • increased in the ratio 13 : 17

  • decreased in the ratio 17 : 13

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70.

The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is ₹ 200 more than the price of a shoe. Then, the price of a shoe is

  • ₹ 700

  • ₹ 500

  • ₹ 1200

  • ₹ 200

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