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CAT · Practice Sheet 48

Sheet code: CAT-S48 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Quantitative Aptitude

    Find the compound interest on ₹12,000 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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  2. 2.
    Quantitative Aptitude

    A vehicle covers 240 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  3. 3.
    Mathematics

    Evaluate log base 3 of 81.

    Formula:Logarithm Evaluation
    logb(bk)=k\log_{b}(b^{k}) = k
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  4. 4.
    Quantitative Aptitude

    Divide ₹2,856 between two people in the ratio 5:7. How much does each receive?

    Formula:Sharing in a Ratio
    Share=Total×partsum of parts\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}
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  5. 5.
    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 3.)

    Formula:Permutations
    nPr=n!(nr)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  6. 6.
    Quantitative Aptitude

    Find the simple interest on ₹19,000 at 5% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  7. 7.
    Quantitative Aptitude

    What is 75% of 920?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  8. 8.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
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  9. 9.
    Mathematics

    In an arithmetic progression with first term 16 and common difference 5, find term number 5.

    Formula:AP nth Term
    an=a+(n1)da_n = a + (n-1)d
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  10. 10.
    Mathematics

    Find the binomial coefficient C(6, 2) — the coefficient of x^2 in (1 + x)^6.

    Formula:Binomial Coefficient
    (nr)=n!r!(nr)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
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  11. 11.
    Quantitative Aptitude

    Find the average of these 10 numbers: 76, 62, 21, 56, 56, 78, 68, 57, 89, 53.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  12. 12.
    Quantitative Aptitude

    Divide ₹1,638 between two people in the ratio 2:5. How much does each receive?

    Formula:Sharing in a Ratio
    Share=Total×partsum of parts\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}
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  13. 13.
    Mathematics

    In an arithmetic progression with first term 19 and common difference 8, find term number 23.

    Formula:AP nth Term
    an=a+(n1)da_n = a + (n-1)d
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  14. 14.
    Quantitative Aptitude

    What is 20% of 600?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  15. 15.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 7?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
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  16. 16.
    Quantitative Aptitude

    A vehicle covers 195 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  17. 17.
    Quantitative Aptitude

    A value changes from 600 to 660. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  18. 18.
    Quantitative Aptitude

    Find the simple interest on ₹38,000 at 6% per annum for 1 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  19. 19.
    Mathematics

    Find term number 7 of a geometric progression with first term 3 and common ratio 2.

    Formula:GP nth Term
    an=arn1a_n = a\,r^{\,n-1}
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  20. 20.
    Quantitative Aptitude

    Find the simple interest on ₹16,000 at 6% per annum for 6 year(s).

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