In ?PQR , straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:

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Question
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
Options
A. 5:11
B. 6:5
C. 11:6
D. 11:5

Correct Answer

5:11

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Ratio and Proportion problems

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2. A, B and C start a business and the ratio of their investment is 8 : 5 : 3. If at the end the ratio of their profits is 4 : 15 : 6, then what is the ratio of time period of their investment?
Options
A. 1 : 6 : 5
B. 2 : 3 : 4
C. 1 : 6 : 4
D. 2 : 6 : 3

3. The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C?s income is Rs 4000 more than the half of E?s income, then what is the D?s income (in Rs)?
Options
A. 40000
B. 43000
C. 50000
D. 60000

5. A company reduces his employee in the ratio 14 : 12 andincreases their wages in the ratio 16:18. Determine whetherthe bill of wages increases or not and in what ratio
Options
A. Decreases, 28: 27
B. Increases, 27:28
C. Decreases, 29:28
D. Increases, 28:29

6. 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 ?
Options
A. Rs.25,000
B. Rs.30,000
C. Rs.15,000
D. Rs.20,000

7. 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?
Options
A. Quantity I > Quantity I
B. Quantity I ? Quantity II
C. Quantity I < Quantity II
D. Quantity I < Quantity II

8. 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?
Options
A. 3 : 2 : 2
B. 2 : 3 : 3
C. 2 : 2 : 3
D. 4 : 5 : 3

9. 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?
Options
A. 2400 ?84
B. 2200 ?84
C. 1400 ?84
D. None

10. In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?
Options
A. 6160
B. 1540
C. 3080
D. 9240

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