NDA MATHEMETICS QUIZ

$\sin ^{2} 60^{\circ}+\cos ^{2} 30^{\circ}+\cot ^{2} 45^{\circ}+\sec ^{2} 60^{\circ}=?$

If the roots of the equation $x^{2}-x-1=0$ are $\alpha$ and $\beta$, then what is the equation whose roots are $\frac{\alpha}{\beta}$ and $\frac{\beta}{\alpha}$ ?

Read the following questions and decide which of the equations are sufficient to answer the question.

What is the value of $x$ ?

Equation

1. $x^{2}-18 x+81=0$

2. $ p+q+r=0$

When dividing $2 x^{2}+a x+b$ by $x-3$ leaves a remainder of 31 and dividing $x^{2}$ $+b x+a$ by $x-3$ leaves a remainder of 24 , then the value of $a+b$ is equal to?

If 35% of a number is 700, then what will be 50% of the same number?

What is the smallest number which if divided by 35,45,55 leaves remainder 18,28,38 respectively?

A trader allows a 10% discount on the marked price. How much more than the cost price should he mark on the articles to make a profit of 17 %?

What is the value of

$72 \div[38-\{30-(31-60 \div 4 \times 5)\}]=$

A loss of Rs. 1,152 has to be divided among $A, B$ and $C$ in the ratio $7: 8: 9$, then what is the share of $A$ ?

Direction : The following graph shows the import of a certain commodity $X$ in Crore Rupees between 2013 and $2019 .$

The questions are based on the shown figure. Answer these questions.

Average of the increase in import of $X$ year by year for all the years is (in ₹ crore)