ACT · Practice Sheet 41

1. 1.

   Quantitative Aptitude

   The marked price of an item is $1,400. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

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2. 2.

   Mathematics

   Find the distance between the points (-6, 7) and (5, 3).

   Formula:Distance Between Two Points

   $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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3. 3.

   Physics

   Find the force required to accelerate a 39 kg mass at 19 m/s².

   Formula:Newton's Second Law (F = ma)

   $F = ma$

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4. 4.

   Physics

   Find the kinetic energy of a 2 kg object moving at 10 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

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5. 5.

   Physics

   Find the voltage across a 44 Ω resistor carrying a current of 6 A.

   Formula:Ohm's Law

   $V = IR$

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6. 6.

   Quantitative Aptitude

   A vehicle covers 325 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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7. 7.

   Physics

   Find the voltage across a 12 Ω resistor carrying a current of 2 A.

   Formula:Ohm's Law

   $V = IR$

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8. 8.

   Mathematics

   Evaluate ∫ from 2 to 4 of 4x^1 dx.

   Formula:Definite Integral of a Power

   $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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9. 9.

   Quantitative Aptitude

   Find the HCF and LCM of 12 and 23.

   Formula:LCM & HCF

   $\text{LCM}\times\text{HCF} = a\times b$

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10. 10.

    Mathematics

    Find term number 7 of a geometric progression with first term 6 and common ratio 2.

    Formula:GP nth Term

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

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11. 11.

    Mathematics

    For the quadratic 1x² − 1x − 5 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

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

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12. 12.

    Quantitative Aptitude

    Find the compound interest on $15,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest

    $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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13. 13.

    Physics

    An object starts at 14 m/s and accelerates at 1 m/s² for 2 s. Find its final velocity.

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

    $v = u + at$

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14. 14.

    Quantitative Aptitude

    Find the simple interest on $24,000 at 10% per annum for 5 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

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15. 15.

    Quantitative Aptitude

    Two varieties costing $33 and $76 per kg are mixed to give a mixture worth $68 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

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16. 16.

    Quantitative Aptitude

    The marked price of an item is $200. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

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17. 17.

    Physics

    Find the electrical power when 164 V drives a current of 10 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Quantitative Aptitude

    The marked price of an item is $700. After a 30% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

    View formula →
19. 19.

    Physics

    Find the kinetic energy of a 2 kg object moving at 22 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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20. 20.

    Quantitative Aptitude

    The marked price of an item is $700. After a 15% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

    View formula →

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