View solutions
FormulaWon

CAT · Practice Sheet 11

Sheet code: CAT-S11 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Find the sum of the first 21 terms of an AP with first term 5 and common difference 9.

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

    A vehicle covers 126 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  3. 3.
    Quantitative Aptitude

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

    Formula:Combinations
    nCr=n!r! (n−r)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
    View formula →
  4. 4.
    Quantitative Aptitude

    An item is bought for ₹300 and sold for ₹360. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
    View formula →
  5. 5.
    Mathematics

    Find term number 6 of a geometric progression with first term 2 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →
  6. 6.
    Quantitative Aptitude

    Find the simple interest on ₹45,000 at 6% per annum for 6 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
    View formula →
  7. 7.
    Mathematics

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

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →
  8. 8.
    Quantitative Aptitude

    Two varieties costing ₹39 and ₹91 per kg are mixed to give a mixture worth ₹84 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2−mm−p1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
    View formula →
  9. 9.
    Quantitative Aptitude

    Find the average of these 8 numbers: 85, 27, 86, 90, 50, 75, 46, 87.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
    View formula →
  10. 10.
    Mathematics

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

    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 →
  11. 11.
    Quantitative Aptitude

    Find the compound interest on ₹19,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
    View formula →
  12. 12.
    Quantitative Aptitude

    Find the simple interest on ₹15,000 at 12% per annum for 1 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
    View formula →
  13. 13.
    Mathematics

    Find the binomial coefficient C(10, 3) — the coefficient of x^3 in (1 + x)^10.

    Formula:Binomial Coefficient
    (nr)=n!r! (n−r)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
    View formula →
  14. 14.
    Mathematics

    Find the distance between the points (-7, 5) and (2, 5).

    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 →
  15. 15.
    Mathematics

    For the quadratic 4x² − 3x − 2 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
    View formula →
  16. 16.
    Quantitative Aptitude

    A can finish a job in 6 days and B in 8 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  17. 17.
    Quantitative Aptitude

    Two varieties costing ₹38 and ₹68 per kg are mixed to give a mixture worth ₹47 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2−mm−p1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
    View formula →
  18. 18.
    Mathematics

    For the quadratic 5x² + 9x − 2 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
    View formula →
  19. 19.
    Quantitative Aptitude

    Two varieties costing ₹27 and ₹100 per kg are mixed to give a mixture worth ₹78 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2−mm−p1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
    View formula →
  20. 20.
    Quantitative Aptitude

    The marked price of an item is ₹1,100. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →

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

Go to full solutions for this sheet