View solutions
FormulaWon

GATE · Practice Sheet 49

Sheet code: GATE-S49 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Physics

    A force of 915 N acts on an area of 33 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →
  2. 2.
    Physics

    Find the kinetic energy of a 6 kg object moving at 2 m/s.

    Formula:Kinetic Energy
    KE=12mv2KE = \tfrac{1}{2}mv^{2}
    View formula →
  3. 3.
    Mathematics

    Evaluate log base 2 of 32.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
    View formula →
  4. 4.
    Physics

    Find the kinetic energy of a 10 kg object moving at 25 m/s.

    Formula:Kinetic Energy
    KE=12mv2KE = \tfrac{1}{2}mv^{2}
    View formula →
  5. 5.
    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
    View formula →
  6. 6.
    Mathematics

    Find the slope of the line through (5, -4) and (1, 5).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
    View formula →
  7. 7.
    Quantitative Aptitude

    Find the simple interest on ₹31,000 at 8% per annum for 3 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
    View formula →
  8. 8.
    Mathematics

    Find the distance between the points (8, 3) and (-5, -3).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  9. 9.
    Physics

    A projectile is launched at 30 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range
    R=u2sin⁡2θgR = \dfrac{u^{2}\sin 2\theta}{g}
    View formula →
  10. 10.
    Mathematics

    Find term number 5 of a geometric progression with first term 4 and common ratio 2.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →
  11. 11.
    Mathematics

    Find the sum of the first 23 terms of an AP with first term 9 and common difference 8.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
    View formula →
  12. 12.
    Quantitative Aptitude

    Find the HCF and LCM of 36 and 19.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
    View formula →
  13. 13.
    Physics

    A force of 278 N acts on an area of 15 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →
  14. 14.
    Quantitative Aptitude

    Find the HCF and LCM of 7 and 9.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
    View formula →
  15. 15.
    Mathematics

    Evaluate ∫ from 2 to 5 of 2x^2 dx.

    Formula:Definite Integral of a Power
    ∫pqaxn dx=an+1[xn+1]pq\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}
    View formula →
  16. 16.
    Mathematics

    Find the distance between the points (-5, 3) and (5, 8).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  17. 17.
    Mathematics

    Find the sum of the first 23 terms of an AP with first term 2 and common difference 3.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
    View formula →
  18. 18.
    Mathematics

    Find term number 5 of a geometric progression with first term 6 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →
  19. 19.
    Physics

    If 4,492 J of work is done in 2 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
    View formula →
  20. 20.
    Physics

    A force of 178 N acts on an area of 14 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →

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

Go to full solutions for this sheet