CHAPTER EXERCISES - TEST SET

Calculate:
$\frac{(10008.99{)}^2}{10009.001}\times \sqrt{3589}\times 0.4987$

Jayesh is twice as old as Vijay and half as old as Suresh. If the sum of Suresh’s and Vijay’s ages is $85$ years, then what is Jayesh’s age in years?

In how many ways $6$ members of a committee (with at least $3$ men) be selected from a group of $8$ men and $6$ women?

For which value of $x$, the inequality $3(x^2-4x+4)<x$ gets satisfied?

What approximate value should come in place of the question mark $(?)$ in $9.95\times 29.07\times ?+40.25=399.99$?

If the numerator of a fraction is increased by $40\%$ and the denominator is doubled, the new fraction obtained is $\frac{7}{16}$. What is the original fraction?

In how many different ways, can the letters of the word ADJUST be arranged so that the vowels never come together?

Abhishek invested an amount of $₹ 29000$ in two parts under two different schemes A and B and earned total interest of $₹ 3840$. Schemes A and B offered $15\%$ and $12\%$ interest, respectively. What was the amount investment in Scheme 'A'?