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If P: Q = 2 : 3 , Q : R = 5 : 7 and R : ...

If `P: Q = 2 : 3 , Q : R = 5 : 7 and R : S = 3 : 10 ` then P : S = ?

A

` 1 : 5`

B

` 1 : 7`

C

` 3: 2`

D

` 6 : 15`

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The correct Answer is:
To find the ratio \( P : S \) given the ratios \( P : Q = 2 : 3 \), \( Q : R = 5 : 7 \), and \( R : S = 3 : 10 \), we can follow these steps: ### Step 1: Express the ratios in terms of a common variable 1. From \( P : Q = 2 : 3 \), we can express \( P \) and \( Q \) as: - Let \( P = 2x \) - Let \( Q = 3x \)
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The following are the steps in finding the matrix B, if B + ({:(2, 3), (4, 5):}) = ({:(5, 4), (3, 2):}) . Arrange them in sequential order. (A) therefore ({:(p, q), (r, s):}) + ({:(2, 3), (4, 5):}) = ({:(5, 4), (3, 2):}) (B) Let B = ({:(p, q), (r, s):}) (C) ({:(p+2, q+3), (r+4, s+5):}) = ({:(5, 4), (3, 2):}) (D) P + 2 = 5, q + 3 = 4, r+ 4 = 3, s + 5 = 2 rArr p = 3, q = 1, r = -1, s = -3 (E) therefore B = ({:(3, 1), (-1, -3):})

S CHAND IIT JEE FOUNDATION-RATIO AND PROPORTION -QUESTION BANK -15
  1. If A : B = 5 : 2, B : C = 2 : 3 and C: D = 5: 3 , then the ratio A: B...

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  2. If P: Q = 2 : 3 , Q : R = 5 : 7 and R : S = 3 : 10 then P : S = ?

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  3. If ( 3a+ 5b)/(3a- 5b) = 5, then a: b is equal to

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  4. If A : B=1/2:3/8, B : C=1/3:5/9\ a n d\ C : D=5/6:3/4, then the ...

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  5. If a: b= 3 : 5 and b: c = 6 : 2 , find a : b : c

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  6. If a : b = 2: 5 , then ( 3a+ 4b) : (5a +6b) is equal to

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  7. If (2a+b)/(a+4b)=3, the value of (a+b)/(a+2b) is equal to

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  8. The number of boys is more than the number of girls by 12% of the tota...

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  9. The ratio of the number of ladies to that of gents at a party was 3: 2...

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  10. The ratio of the ages of two boys is 5 : 6 After 2 years, the ratio of...

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  11. the sum of three number is 116. the ratio of the second to the third i...

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  12. A man encashes a cheque of 600 from a bank. The bank pays him money in...

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  13. If 372 coins-consist.of one rupee, 50 paise and 25 paise coins whose v...

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  14. An amount of money is to be divided among P, Q and R in the ratio 4:7:...

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  15. The ratio of A to B is 4:5 and that of B to C is 2:3. If A equals 800,...

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  16. In a examination , the number of those who passed and the number of th...

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  17. The incomes of A and B are in the ratio 5:3. The expenses of A, B and ...

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  18. The speeds of three cars are in the ratio 2:3 : 4. What is the ratio b...

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  19. The sum of the squares of three numbers which are in the ratio 2:3:4 i...

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  20. 2430 are distributed among three persons so that their shares be dimin...

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