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Question 1:

Abhay borrows Rs. 9800 from Ajay on simple interest at the rate of 11% per annum. What amount of money (in rupees) should Abhay pay to Ajay after 4 years to clear the debt?

Question 2:

Anita bought a car for Rs. $11,31,846$ which is $43 \%$ of her annual income. What is her monthly income (in rupees)?

Question 3:

What is the value of $98-296 \div[36 \div\{8 \times 6+(5 \times 8-79)\}]$

Question 4:

Aakash and Vikash together can complete a piece of work in 15 days and Vikash alone can complete it in 36 days. In how many days can Aakash alone complete the $\frac{7}{15}$ part of the same work?

Question 5:

If $5 a^{2}+3 b^{2}=107$ and $a b=12(a>b, a>0, b>0)$ then the value of $(6 a-7 b)$ is

Question 6:

If $\sin \left(3 x+30^{\circ}\right)=\cos x$ and angle $x$ and $\left(3 x+30^{\circ}\right)$ (in degrees) are acute angles,

then the value of $\operatorname{cosec} 3 x$ is

Question 7:

The income of Sanjay is $25 \%$ less than the income of Alok, and the income of Alok is $12 \%$ more than Rs. 24000 . The income of Sanjay (in rupees) is

Question 8:

If $A=\frac{1+7 x}{1-7 x}$ and $B=\frac{1-7 x}{1+7 x}$, then the value of $\frac{A+B}{A-B}$ is

Question 9:

The difference between the compound interest and the simple interest on a sum of Rs. 28,000 for 2 years at the rate of $4 \% \mathrm{p} . \mathrm{a} .$, is ___rupees:

Question 10:

In a circle centred at $\mathrm{O}, \mathrm{AB}$ is a chord and $\mathrm{C}$ is any point on $\mathrm{AB}$ such that $\mathrm{OC}$ is perpendicular to $\mathrm{AB}$. If the radius of the circle is $68 \mathrm{~cm}$ and $\mathrm{OC}=32 \mathrm{~cm}$, then the length of the chord (in $\mathrm{cm}$ ) is