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TMUA · Practice Sheet 14

Sheet code: TMUA-S14 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Evaluate log base 5 of 125.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  2. 2.
    Quantitative Aptitude

    Find the simple interest on £36,000 at 6% per annum for 3 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  3. 3.
    Quantitative Aptitude

    Find the HCF and LCM of 28 and 25.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  4. 4.
    Quantitative Aptitude

    A value changes from 900 to 450. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  5. 5.
    Quantitative Aptitude

    An item is bought for £300 and sold for £390. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  6. 6.
    Quantitative Aptitude

    The marked price of an item is £500. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  7. 7.
    Quantitative Aptitude

    A invests £9,000 and B invests £8,000 for the same period. If the total profit is £32,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
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  8. 8.
    Mathematics

    In an arithmetic progression with first term 4 and common difference 5, find term number 28.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  9. 9.
    Quantitative Aptitude

    Two varieties costing £20 and £90 per kg are mixed to give a mixture worth £46 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}
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  10. 10.
    Quantitative Aptitude

    Find the HCF and LCM of 12 and 23.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  11. 11.
    Mathematics

    For the quadratic 3x² − 3x − 4 = 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}
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  12. 12.
    Mathematics

    In an arithmetic progression with first term 15 and common difference 1, find term number 20.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  13. 13.
    Quantitative Aptitude

    An item is bought for £500 and sold for £600. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  14. 14.
    Quantitative Aptitude

    A invests £4,000 and B invests £4,000 for the same period. If the total profit is £32,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  15. 15.
    Quantitative Aptitude

    Find the compound interest on £11,000 at 20% per annum compounded annually for 3 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  16. 16.
    Mathematics

    Evaluate log base 5 of 15,625.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  17. 17.
    Quantitative Aptitude

    A invests £2,000 and B invests £3,000 for the same period. If the total profit is £32,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  18. 18.
    Mathematics

    Evaluate log base 5 of 3,125.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
    View formula →
  19. 19.
    Quantitative Aptitude

    What is 75% of 480?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  20. 20.
    Quantitative Aptitude

    Find the compound interest on £2,000 at 10% per annum compounded annually for 2 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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