If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : | Ratios and Proportions Questions & Answers

Q:

If a : b is 32 : 35 and b : c is 21 : 32, then a : c is?

A) 5 : 3	B) 3 : 5
C) 1 : 1	D) 5 : 7

Answer & Explanation Answer: B) 3 : 5

Explanation:

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Q:

The ratio of the sides of a triangular shaped park is 3 : 4 : 5 and the perimeter of the park is 170 m. What is the perpendicular distance in meters from the vertex, opposite to the largest side of the park?

A) 2400 √84	B) 2200 √84
C) 1400 √84	D) None

Answer & Explanation Answer: D) None

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Q:

S, T and U started a business and their capitals are in the ratio of 3 : 4 : 6. At the end they receive the profit in the ratio of 1 : 2 : 3. What will be the respectiveratio of time period for which they contributed their capitals?

A) 3 : 2 : 2	B) 2 : 3 : 3
C) 2 : 2 : 3	D) 4 : 5 : 3

Answer & Explanation Answer: B) 2 : 3 : 3

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Q:

The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?

A) 142	B) 137.5
C) 82.5	D) 110.5

Answer & Explanation Answer: B) 137.5

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Q:

Each question contains Quantity I and Quantity II. Read the contents carefully and answer your questions accordingly.

Quantity I: there are three numbers in the ratio 5:6:10. The sum of the largest and the smallest numbers is 126 more than the other number. Find the largest number?

Quantity II: 12% of first number is equal to 25 % second number. The difference of these two numbers is 78. Then find the largest number?

A) Quantity I > Quantity I	B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II	D) Quantity I < Quantity II

Answer & Explanation Answer: C) Quantity I < Quantity II

Explanation:

Quantity I= Let the three numbers will be 5x, 6x and 10x respectively

ATQ

10x+5x−6x=126

9x=126 X=14

So largest number =10x=10×14=140

Quantity II=let x and y are two numbers

ATQ

12% of x=25%of y And their difference is 78

So first no.=150 2nd no.=72

Hence Quantity I < Quantity II

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Q:

If Gaganjyot's salary is 7/6 times of Hafiz's and Sayed's is 8/7 times of Hafiz's, what is the ratio of Gaganjyot's salary to Sayed's.

A) 49:48	B) 3:4
C) 4:3	D) 48:49

Answer & Explanation Answer: A) 49:48

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Q:

Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?

A) Rs.25,000	B) Rs.30,000
C) Rs.15,000	D) Rs.20,000

Answer & Explanation Answer:

Explanation:

Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

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Q:

In $∆ PQR$ , straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be

A) 5:11	B) 6:5
C) 11:6	D) 11:5

A) 105 : 50 : 84	B) 24 : 25 : 32
C) 15 : 21 : 25	D) 20 : 42 : 25

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

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