IIT-JEE · Practice Sheet 9

1. 1.

   Physics

   An object starts at 17 m/s and accelerates at 6 m/s² for 7 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

   View formula →
2. 2.

   Quantitative Aptitude

   A vehicle covers 264 km in 4 hours. Find its average speed.

   Formula:Speed, Distance & Time

   $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

   View formula →
3. 3.

   Physics

   Find the electrical power when 43 V drives a current of 13 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
4. 4.

   Quantitative Aptitude

   In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)

   Formula:Combinations

   $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

   View formula →
5. 5.

   Physics

   Find the density of an object with mass 104 g and volume 2 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

   View formula →
6. 6.

   Chemistry

   How many moles are present in 18 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

   View formula →
7. 7.

   Chemistry

   45 mL of a 2 M solution is diluted to 145 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

   View formula →
8. 8.

   Mathematics

   For the quadratic 4x² + 1x − 9 = 0, find the sum and product of its roots.

   Formula:Vieta's Formulas (roots)

   $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

   View formula →
9. 9.

   Mathematics

   Find the slope of the line through (6, 7) and (-2, 6).

   Formula:Slope of a Line

   $m = \dfrac{y_2-y_1}{x_2-x_1}$

   View formula →
10. 10.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

    Formula:Probability (two dice)

    $P = \dfrac{\text{favourable}}{\text{total}}$

    View formula →
11. 11.

    Mathematics

    Find the sum of the first 7 terms of a GP with first term 6 and common ratio 2.

    Formula:GP Sum of n Terms

    $S_n = a\,\dfrac{r^{n}-1}{r-1}$

    View formula →
12. 12.

    Mathematics

    Find term number 3 of a geometric progression with first term 1 and common ratio 2.

    Formula:GP nth Term

    $a_n = a\,r^{\,n-1}$

    View formula →
13. 13.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 2 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

    View formula →
14. 14.

    Physics

    Find the electrical power when 229 V drives a current of 13 A.

    Formula:Electrical Power

    $P = VI$

    View formula →
15. 15.

    Physics

    Find the voltage across a 44 Ω resistor carrying a current of 11 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
16. 16.

    Mathematics

    Find the sum of the first 16 terms of an AP with first term 7 and common difference 4.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

    View formula →
17. 17.

    Mathematics

    If f(x) = 2x³ + 2x² + 3x, find f′(3).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

    View formula →
18. 18.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 5?

    Formula:Probability (two dice)

    $P = \dfrac{\text{favourable}}{\text{total}}$

    View formula →
19. 19.

    Quantitative Aptitude

    In how many ways can 2 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 2.)

    Formula:Combinations

    $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →
20. 20.

    Physics

    Find the voltage across a 36 Ω resistor carrying a current of 17 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.