If two quantities x and y vary inversely with each other, then which one of the following is true?

• Product of their corresponding values remains constant
  
  

• Summation of their corresponding values remains constant
  
  

• Difference of their corresponding values remains constant
  
  

• Ratio of their corresponding values remains constant

Given $7x\times 6yyy$

Then, the value of y is

• 6
  
  

• 4
  
  

• 2
  
  

• 8

3.

In a meeting,"$\frac{4}{25}$ of the members were female. What percent of the members was this?

• 24%
  
  

• 4%
  
  

• 16%
  
  

• 40%

A shop reduced its prices by 10%. What is the new price of an item which was previously sold for $₹$500?

• $₹$550
  
  

• $₹$450
  
  

• $₹$400
  
  

• $₹$510

The numerical expression $\frac{3}{7}+\frac{\left(-7\right)}{8}=\frac{25}{56}$ shows that

• rational numbers are closed under subtraction
  
  

• rational numbers are closed under multiplication
  
  

• rational numbers are closed under division
  
  

• rational numbers are closed under addition

Let a, b, c be three rational numbers, where a=$\frac{3}{5}$, b= $\frac{2}{3}$ and c =$\frac{-5}{6}$, which one of the following is true?

• $a÷\left(b+c\right)=b÷\left(a+c\right)$

• $a+\left(b+c\right) =c +(a+b)$

• $a-\left(b-c\right)=c-(a-b)$

• $a\times \left(b+c\right)=b\times \left(a+c\right)$

If q is the square of a natural number p, then p is

• the square root of q
  
  

• equal to q
  
  

• greater than q
  
  

• the square of q

The value of $\sqrt{91+\sqrt{70+\sqrt{121}}}$ is

• 10

• 11

• 12

• 9

In a park, 784 plants are arranged, so that number of plants in a row is same as the number of rows. The number of plants in each row is

• 28
  
  

• 38
  
  

• 48
  
  

• 18

If 30% of (B- A) = 18% of (A + B), then the ratio A : B will be

• 4:1
  
  

• 5:3
  
  

• 1:4

• 5:2