GATE · Practice Sheet 17

1. 1.

   Physics

   A projectile is launched at 38 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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2. 2.

   Physics

   A force of 922 N acts on an area of 2 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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3. 3.

   Physics

   Find the force required to accelerate a 34 kg mass at 13 m/s².

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

   $F = ma$

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4. 4.

   Quantitative Aptitude

   Find the simple interest on ₹6,000 at 6% per annum for 1 year(s).

   Formula:Simple Interest

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

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5. 5.

   Mathematics

   Find term number 5 of a geometric progression with first term 4 and common ratio 3.

   Formula:GP nth Term

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

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6. 6.

   Physics

   Find the electrical power when 144 V drives a current of 4 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   A constant force of 100 N moves an object 7 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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8. 8.

   Physics

   If 4,782 J of work is done in 37 s, find the power.

   Formula:Power

   $P = \dfrac{W}{t}$

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9. 9.

   Quantitative Aptitude

   Find the HCF and LCM of 16 and 13.

   Formula:LCM & HCF

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

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10. 10.

    Physics

    A force of 99 N acts on an area of 3 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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11. 11.

    Physics

    Find the voltage across a 45 Ω resistor carrying a current of 20 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Mathematics

    In an arithmetic progression with first term 14 and common difference 3, find term number 18.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

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13. 13.

    Physics

    Find the force required to accelerate a 4 kg mass at 13 m/s².

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

    $F = ma$

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14. 14.

    Quantitative Aptitude

    What is 40% of 280?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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15. 15.

    Physics

    Find the electrical power when 227 V drives a current of 7 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Physics

    If 4,877 J of work is done in 19 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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17. 17.

    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)

    Formula:Permutations

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

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18. 18.

    Physics

    Find the kinetic energy of a 1 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

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19. 19.

    Physics

    Find the electrical power when 11 V drives a current of 9 A.

    Formula:Electrical Power

    $P = VI$

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20. 20.

    Physics

    A projectile is launched at 34 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

    $R = \dfrac{u^{2}\sin 2\theta}{g}$

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