**1**. If x/y = 8/9 then 5x-4y/3x+2y is

**Answer** – **2:21**

**If x/y = 8/9 then 5x-4y/3x+2y is 2:21**

**1**. If x/y = 8/9 then 5x-4y/3x+2y is

**Answer** – **2:21**

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**If x/y = 8/9 then 5x-4y/3x+2y is 2:21**

**2**. The third proportional to 1 and 2 is?

**Answer** – **4**

**The third proportional to 1 and 2 is 4.**

**2**. The third proportional to 1 and 2 is?

**Answer** – **4**

**The third proportional to 1 and 2 is 4.**

**3**. The difference between two positive numbers is 10 and the ratio between them is 5:3. Find the product of the two numbers.

**Answer** – **375**

**The difference between two positive numbers is 10 and the ratio between them is 5:3. The product of the two numbers is 375.**

**3**. The difference between two positive numbers is 10 and the ratio between them is 5:3. Find the product of the two numbers.

**Answer** – **375**

**The difference between two positive numbers is 10 and the ratio between them is 5:3. The product of the two numbers is 375.**

**4**. Four numbers in the ratio 1:3:4:7 add up to give a sum of 105, find the value of second biggest number.

**Answer** – **28**

**Four numbers in the ratio 1:3:4:7 add up to give a sum of 105, the value of second biggest number is 28.**

**4**. Four numbers in the ratio 1:3:4:7 add up to give a sum of 105, find the value of second biggest number.

**Answer** – **28**

**Four numbers in the ratio 1:3:4:7 add up to give a sum of 105, the value of second biggest number is 28.**

**5**. Rs.53 is divided among Alex, Bella, Charles such that Alex’s share is Rs.7 more than Bella’s share and Bella’s share is Rs.8 more than Charles’s share. The ratio of their shares is:

**Answer** – **25: 18: 10**

**Rs.53 is divided among Alex, Bella, Charles such that Alex’s share is Rs.7 more than Bella’s share and Bella’s share is Rs.8 more than Charles’s share. The ratio of their shares is 25:18:10.**

**5**. Rs.53 is divided among Alex, Bella, Charles such that Alex’s share is Rs.7 more than Bella’s share and Bella’s share is Rs.8 more than Charles’s share. The ratio of their shares is:

**Answer** – **25: 18: 10**

**Rs.53 is divided among Alex, Bella, Charles such that Alex’s share is Rs.7 more than Bella’s share and Bella’s share is Rs.8 more than Charles’s share. The ratio of their shares is 25:18:10.**

**6**. A man has in all Rs.640 in the denominations of one rupee, five-rupee and ten rupee notes. The numbers of each type of notes are equal. What is the total number of notes he has?

**Answer** – **120**

**A man has in all Rs.640 in the denominations of one rupee, five-rupee and ten rupee notes. The numbers of each type of notes are equal. The total number of notes he has is 120.**

**6**. A man has in all Rs.640 in the denominations of one rupee, five-rupee and ten rupee notes. The numbers of each type of notes are equal. What is the total number of notes he has?

**Answer** – **120**

**A man has in all Rs.640 in the denominations of one rupee, five-rupee and ten rupee notes. The numbers of each type of notes are equal. The total number of notes he has is 120.**

**7**. The present ratio of ages of Alpha and Beta is 4: 5. 18 years ago, this ratio was 11: 16. Find the sum of their ages 18 years ago.

**Answer** – **54 years**

**The present ratio of ages of Alpha and Beta is 4: 5. 18 years ago, this ratio was 11: 16. 54 is the sum of their ages 18 years ago.**

**7**. The present ratio of ages of Alpha and Beta is 4: 5. 18 years ago, this ratio was 11: 16. Find the sum of their ages 18 years ago.

**Answer** – **54 years**

**The present ratio of ages of Alpha and Beta is 4: 5. 18 years ago, this ratio was 11: 16. 54 is the sum of their ages 18 years ago.**

**8**. If the ratio of sines of angles of a triangle is 1: 1:√2, then the ratio of square of the greatest side to sum of the squares of the other two sides is

**Answer** – **1:1**

**If the ratio of sines of angles of a triangle is 1: 1:√2, then the ratio of square of the greatest side to sum of the squares of the other two sides is 1:1.**

**8**. If the ratio of sines of angles of a triangle is 1: 1:√2, then the ratio of square of the greatest side to sum of the squares of the other two sides is

**Answer** – **1:1**

**If the ratio of sines of angles of a triangle is 1: 1:√2, then the ratio of square of the greatest side to sum of the squares of the other two sides is 1:1.**

**9**. Anup and Balaji have monthly incomes in the ratio 5: 6 and monthly expenditures in the ratio 3: 4. If they save Rs 11800 and Rs 1600 respectively, find the monthly income of Balaji?

**Answer** – **7200**

**Anup and Balaji have monthly incomes in the ratio 5: 6 and monthly expenditures in the ratio 3: 4. If they save Rs 11800 and Rs 1600 respectively, the monthly income of Balaji is 7200.**

**9**. Anup and Balaji have monthly incomes in the ratio 5: 6 and monthly expenditures in the ratio 3: 4. If they save Rs 11800 and Rs 1600 respectively, find the monthly income of Balaji?

**Answer** – **7200**

**Anup and Balaji have monthly incomes in the ratio 5: 6 and monthly expenditures in the ratio 3: 4. If they save Rs 11800 and Rs 1600 respectively, the monthly income of Balaji is 7200.**

**10**. The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.

**Answer** – **Rs. 1 lakh**

**The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs. 70,000 less. The original price of the diamond is Rs. 1 Lakh.**

**10**. The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.

**Answer** – **Rs. 1 lakh**

**The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs. 70,000 less. The original price of the diamond is Rs. 1 Lakh.**