Mixed Quantitative Aptitude Questions Set 139

Banya
  1. Rs. 1800 is given at 20% per annum SI while Rs (1800 – P) is given at 30% per annum CI. If the difference between both interests at the end of two years is Rs 315. Find P.
    200
    400
    300
    100
    500
    Option C
    Total S.I. = 1800ร—2ร—20/ 100 = Rs. 720
    Total C.I. = (1800 โˆ’ ๐‘) [(1 + 30 100 ) 2 โˆ’ 1] = (1800 โˆ’ ๐‘ƒ) ร— 69/ 100
    ATQ, (1800 โˆ’ ๐‘ƒ) ร— 69/ 100 โˆ’ 720 = 315
    (1800 โˆ’ ๐‘ƒ) = 100/ 69 ร— 1035
    1800 โˆ’ ๐‘ƒ = 1500
    โ‡’ ๐‘ƒ = 300

     

  2. Three partners A , B and C invested their amounts in ratio 7:5:3. At the end of six months, A withdraws his amount such that his total investment will be equal to Cโ€™s initial investment. If Cโ€™ share in annual Profit is Rs. 3600. Aโ€™s annual profit will be ?
    5000
    4000
    3000
    6000
    2000
    Option D
    Let their initial investments be 7๐‘ฅ, 5๐‘ฅ and 3๐‘ฅ respectively.
    Ratio of their profit = 7๐‘ฅ ร— 6 + 3๐‘ฅ ร— 6 โˆถ 5๐‘ฅ ร— 12 โˆถ 3๐‘ฅ ร— 12
    = 60๐‘ฅ โˆถ 60๐‘ฅ โˆถ 36๐‘ฅ = 15 โˆถ 15 โˆถ 9
    Aโ€™s profit = 3600 ร— 39/ 9 ร— 15/ 39
    = Rs. 6000

     

  3. Bโ€™s age is 10 years older than A. If the ratio of Bโ€™s age 11 years hence and Cโ€™s present age is 3:2. At present Cโ€™s age is thrice Aโ€™s age. What will be the age of C after 7 years?
    22
    27
    25
    28
    21
    Option C
    Let, age of A be โ€˜๐‘ฅโ€™ years.
    Then age of B = โ€˜๐‘ฅ + 10โ€™ years
    And age of C = 3๐‘ฅ years
    ATQ, (๐‘ฅ+10+11)/ 3๐‘ฅ = 3/ 2
    (๐‘ฅ + 21)2 = 9๐‘ฅ
    7๐‘ฅ = 42
    โ‡’ ๐‘ฅ = 6
    Age of C after 7 years = 3๐‘ฅ + 7
    = 18 + 7 = 25 years

     

  4. If the ratio of curved surface area to the volume of cylinder is 4:7 while the ratio of diameter to the height of cylinder is 14:5. Find the total surface area of cylinder.?
    118
    120
    125
    110
    132
    Option E
    2๐œ‹๐‘Ÿโ„Ž/ ๐œ‹๐‘Ÿ^ 2โ„Ž = 4/ 7
    2 ๐‘Ÿ = 4/ 7
    ๐‘Ÿ = 7/ 2
    2๐‘Ÿ/ โ„Ž = 14/ 5
    โ‡’ โ„Ž = 5 /2
    Total surface area = 2 ร— 22/ 7 ร— 7 /2 ( 7 /2 + 5/ 2 )
    = 22 ร— 12 /2 = 132

     

  5. A and B sold two articles at 25% profit and 40% profit respectively. If total profit is Rs. 178 and the cost price of A is Rs 120 less than B. find the CP of B.
    280
    200
    320
    220
    300
    Option C
    Let, CP of B be ๐‘ฅ + 120
    And that of A be ๐‘ฅ
    Then, 25/100 ร— ๐‘ฅ + 40/100 (๐‘ฅ + 120) = 178
    65๐‘ฅ /100 + 48 = 178
    ๐‘ฅ = 200
    C.P. of B = ๐‘ฅ + 120 = Rs. 320

     

    6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

  6. 24.001 ร— 14.999 ร— 9.998 = ?
    3230
    3600
    3125
    3000
    3250
    Option B
    24.001 ร— 14.999 ร— 9.998 = ?
    24 ร— 15 ร— 10 โ‰ˆ 3600

     

  7. 14.003โˆš?+ 53.0345โˆš? = 67/26.999 ร— (? )
    729
    772
    670
    789
    770
    Option A
    14.003โˆš?+ 53.0345โˆš? = 67/26.999 ร— (? )
    14โˆš?+ 53โˆš? = 67/27 ร—?
    67โˆš?= 67/ 27 ร—?
    โˆš? = 27
    ? = 729

     

  8. 10.11ร—36.93+โˆš48.875 ร— 19.99 = 17.231 ร— โˆš?
    700
    900
    600
    800
    1000
    Option B
    10.11ร—36.93+โˆš48.875 ร— 19.99 = 17.231 ร— โˆš?
    10 ร— 37 + 7 ร— 20 = 17 ร— โˆš?
    โˆš? = 30
    ? = 900

     

  9. 1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89
    6
    7
    9
    8
    4
    Option D
    1898.88 รท 189.921 + 9.99 + (? )^2 = 83.89
    โ‰ˆ 1900 รท 190 + 10 +?^2 = 84
    ?^ 2 = 84 โˆ’ 10 โˆ’ 10
    ? = 8

     

  10. 39.7% ๐‘œ๐‘“ 801 โˆ’ 250.17 = ? โˆ’63% ๐‘œ๐‘“ 801
    567
    647
    663
    574
    600
    Option D
    39.7% ๐‘œ๐‘“ 801 โˆ’ 250.17 = ? โˆ’63% ๐‘œ๐‘“ 801
    โ‰ˆ 40 ร— 8 โ€“ 250
    =? โˆ’63 ร— 8
    ?= 574

     



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