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SSC & Banking · Practice Sheet 14

Sheet code: SSC-BANKING-S14 · 20 questions

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

    The sum of the ages of two people is 76 years, and one is 10 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  2. 2.
    Quantitative Aptitude

    A vehicle covers 688 km in 8 hours. Find its average speed.

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

    Two varieties costing ₹25 and ₹87 per kg are mixed to give a mixture worth ₹35 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2mmp1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
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  4. 4.
    Quantitative Aptitude

    Divide ₹1,611 between two people in the ratio 4:5. 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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  5. 5.
    Quantitative Aptitude

    The marked price of an item is ₹200. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  6. 6.
    Mathematics

    Find the distance between the points (-3, -5) and (-4, -4).

    Formula:Distance Between Two Points
    d=(x2x1)2+(y2y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
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  7. 7.
    Quantitative Aptitude

    Two varieties costing ₹27 and ₹83 per kg are mixed to give a mixture worth ₹35 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2mmp1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
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  8. 8.
    Quantitative Aptitude

    An item is bought for ₹900 and sold for ₹990. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  9. 9.
    Quantitative Aptitude

    Divide ₹2,980 between two people in the ratio 5:5. 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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  10. 10.
    Quantitative Aptitude

    Pipe A fills a tank in 13 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
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  11. 11.
    Quantitative Aptitude

    Find the compound interest on ₹20,000 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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  12. 12.
    Quantitative Aptitude

    A value changes from 300 to 330. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  13. 13.
    Quantitative Aptitude

    An item is bought for ₹700 and sold for ₹980. Find the profit percentage.

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

    The sum of the ages of two people is 51 years, and one is 17 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  15. 15.
    Quantitative Aptitude

    Find the compound interest on ₹7,000 at 20% 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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  16. 16.
    Quantitative Aptitude

    A vehicle covers 415 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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  17. 17.
    Quantitative Aptitude

    Find the average of these 6 numbers: 46, 36, 66, 46, 32, 27.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  18. 18.
    Quantitative Aptitude

    Find the compound interest on ₹7,000 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}
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  19. 19.
    Quantitative Aptitude

    The sum of the ages of two people is 56 years, and one is 8 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  20. 20.
    Quantitative Aptitude

    Find the HCF and LCM of 39 and 34.

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