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- Question
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
- Correct Answer
- Quantity I < Quantity II
ExplanationQuantity 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
- 1. 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 Discuss
- 2. 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 Discuss
- 3. The cash difference between the selling price of an article at a profit of 4% and 6% is Rs. 3. The ratio of two selling prices is:
Options- A. 51:53
- B. 55:53
- C. 52:53
- D. 54:53 Discuss
- 4. 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 Discuss
- 5. 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 Discuss
- 6. 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 Discuss
- 7. 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 Discuss
- 8. 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 Discuss
- 9. x and y are two numbers such that their mean proportion is 16 and third proportion is 128. What is the value of x and y?
Options- A. 8 and 16
- B. 16 and 32
- C. 8 and 32
- D. 16 and 16 Discuss
- 10. Select the related word/letters/number from the given alternatives. 1 : 8 :: ? :64
Options- A. 25
- B. 36
- C. 30
- D. 27 Discuss
Ratio and Proportion problems
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Correct 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
Correct Answer: 5:11
Correct Answer: 52:53
Correct Answer: 1 : 6 : 4
Correct Answer: 40000
Correct Answer: 2 : 3 : 3
Correct Answer: None
Correct Answer: 3080
Correct Answer: 8 and 32
Correct Answer: 27
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