SSC GD (RATIO) MATH QUIZ

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Question 1:

A and B are solutions of acid and water. The ratios of water and acid in A and B are 4:5 and 1:2, respectively. If x litres of A is mixed with y litres of B, then the ratio of water and acid in the mixture becomes 8: 13. What is x:y?

Question 2:

Rs.7000 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal $=3: 2$ and Seema : Rita $=4: 5$. Find Rita's share.

Question 3:

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

Question 4:

Find the fourth proportional 3,4 and 9 .

Question 5:

Shalini saves one-third of her income. If her income increases by $x\%$ and expenses by $15\%$, then her savings increases by $21\%$. find the value of $x$.

Question 6:

When $x$ is added to each of $6,12,18$ and 28, the numbers obtained in this sequence are in a proportion. What will be the value of $(5 x-8):(x+4)$?

Question 7:

The total number of gold medals and silver medals won by India in the Games is 85. Which of the following cannot be the ratio between the number of silver medals won by India and the number of gold medals?

Question 8:

A sum of ₹ 7,560 is divided between A, B and C such that if their shares are diminished by ₹ 400, ₹ 300 and ₹ 260, respectively, then their shares are in the ratio $4: 2: 5$. What is the original share of $\mathrm{B}$ ?

Question 9:

If a student distributes sweets in the ratio of $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{7}$ among five of his friends $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and $\mathrm{E}$, then the total number(minimum) of sweets he should have is:

Question 10:

If $\mathrm{a}=(5 / 4) \mathrm{b}$ and $\mathrm{b}=(2 / 10) \mathrm{c}$, then what is $\mathrm{a}: \mathrm{b}: \mathrm{c}$ ?