General Mathematics
 

  1. Question: The difference between the compound interests on Rs.`1600` for one year at `20%`per annum, when compounded half yearly and quarterly is :

    A
    `Rs. 8.81`

    B
    `Rs. 9.4`

    C
    `Rs. 10.36`

    D
    `Rs. 8.50`

    Note: C.I. when interest is compounded half yearly = Rs.`[1600 xx (1 + 10/100)^2 - 1600]` `= Rs. 336` C.I. when interest is compounded quarterly = Rs.`[1600 xx (1 + 5/100)^4 - 1600]` `= Rs. 344.81` :. Difference = Rs.`(344.81 - 336)` `= Rs. 8.81`.
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  2. Question: The compound interest on Rs.`8000` at `15%` per annum for `2` years `4` months, compounded annually is :

    A
    `Rs. 2980`

    B
    `Rs. 3091`

    C
    `Rs. 3109`

    D
    `Rs. 3100`

    Note: Time`= 2` years `4`months`= 2 4/12` years `= 2 1/3`years. :. C.I.`= Rs.[8000 xx (1 + 15/100)^2 xx (1 + (1/3 xx 15)/100) - 8000]` = Rs.` (8000 xx 23/ 20 xx 23/20 xx 21/20 - 8000)` `= Rs. 3109`.
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  3. Question: The present worth of Rs.`4913` due `3` years hence at years hence at `6 1/4%`per annum compound interest is :

    A
    `Rs. 4216`

    B
    `Rs. 4096`

    C
    `Rs. 4200`

    D
    `Rs. 4168%`

    Note: P.W.`= 4813/(1 + 25/(4 xx 100)^3` `= (4813 xx 16/17 xx 16/17 xx 16/17)` `= Rs. 4096`
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  4. Question: The compound interest on Rs. `30000` at `7%` per annum for a certain period is Rs.`4347`

    A
    `2 years`

    B
    `2 1/2 years`

    C
    `3 years`

    D
    `4 years`

    Note: Amount `= Rs.(30000 + 4347) ` `= Rs.3447`. Let `30000 (1 + 7/100)^n` `= 34347` `or (107/100)^n` `= 34347/30000` `= 11449/10000` `= (107/100)` `:. n = 2 years`
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  5. Question: `A` and `B` together have Rs. `1210` with them. If `4/(15)` of `A`'s amount is equal to `2/5` of `B`'s amount, how much amount does `B` have ?

    A
    `Rs. 466`

    B
    `Rs. 484`

    C
    `Rs. 550`

    D
    `Rs. 664`

    Note: `4/(15) A = 2/5 B` `=> A/B = (2/5 xx (15)/4) = 3/2`. Thus, `A : B = 3 : 2`. `:. B`'s share `= R's (1210 xx 2/5)` `= Rs. 484`.
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  6. Question: Five bananas and four apples cost as much as three bananas and seven apples. The ratio of the cost of one banana to that of one apple is :

    A
    `3 : 2`

    B
    `4 : 3`

    C
    `3 : 4`

    D
    `1 : 3`

    Note: Let the cost of each banana be `x` paise and that of each apple by `y` paise. Then, `5x + 4y = 3x + 7y ` `iff 2x = 3y` `iff x/y = 3/2`. `:.` Required ratio is `3 : 2`.
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  7. Question: At what rate of compound interest per annum will a sum of Rs.`1200` become Rs.`1348.32` in `2` years ?

    A
    `7%`

    B
    `6%`

    C
    `7.5%`

    D
    `6.5%`

    Note: `1200 xx (1 + R/100)^2 + 1348.32` `or (1 + R/100)^2` `= 134832/120000` `= 11236/10000` `:. (1 + R/100)^2` `= (106/100)^2` `or 1 + R/100` `= 106/100` `or R = 6%`
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  8. Question: A sum of money invested at compound interest amounts to Rs.`800` in `3` years and Rs.`840` in `4` years. What is the rate of interest per annum ?

    A
    `2%`

    B
    `4%`

    C
    `5%`

    D
    `10%`

    Note: Interest on Rs.`800` for `1` year = Rs. (840 - 800)` `= Rs. 40` :. Rate`= (100 xx 40)/(800 xx 1)%` `= 5%`
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  9. Question: A sum of money becomes `8` times of itself in `3` years at compound interest. The rate of interest is :

    A
    `100%`

    B
    `8%`

    C
    `1%`

    D
    date inadequate

    Note: P (1 + R/100)^3 = 8P` `or (1 + R/100)^3` `= 8 = 2^3` `:. 1 + R/100 = 1` `or R = 100`
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  10. Question: The capacity of a tank of dimension `(8 m xx 6 m xx 2.5 m),` is :

    A
    `120 litres`

    B
    ``1200 litres`

    C
    `12000 litres`

    D
    `120000 litres`

    Note: Not available
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