Mixed Quantitative Aptitude Questions Set 225

  1. What is the monthly income of Jitu ?
    I. Jitu spends 85% of his income on various expenses and remaining amount he saved.
    II. Monthly saving of Jitu are rs.7500.
    III. Out of total money spent by Jitu in a month, one-fifth is spent on rent and remaining amount of rs.34000 on other items.
    Only I and II sufficient
    Only II and III sufficient
    Only I and II sufficient
    Neither I nor II and III is sufficient
    Any of the two statements is sufficient
    Option E
    Let income of Jitu = rs.x
    from I and II,
    15% of x = 7500
    x = 7500 * 100/15 = 50000
    From I and III,
    x * 85/100 * 4/5 = 34000
    x = 50000
    from I and III
    4/5 th of expenditure = 34000
    expenditure = 42500
    income = 42500 + 7500 = 50000
    thus, answer can be find out by any of two given statement

     

  2. How much time will require the train to reach from point X to point Y ?
    I. The train will pass the other train of equal length of 400m running opposite in direction in 16 secs
    II. Distance between point X and Y is 252 km.
    III. The 400m long train crosses a signal pole in 20sec.
    Only I and II is sufficient
    Only II and III is sufficient
    Neither of any statement is sufficient
    All statements are sufficient
    Only I and III is sufficient
    Option B
    Statement I is not required to get answer
    from statement III,
    Speed of train = 400/20 = 20 m/sec
    speed( in km) = 20 * 18/5 = 72 km/hr
    from statement II,
    time = 252/72 = 3.5 hr
    statement II and III required to get answer.

     

  3. What is the length of a running train A crossing another running train B ?
    I. A and B two train take 18secs to cross each other, while running opposite direction.
    II. The length of train B is 180m
    Only I and II is sufficient
    Only II is sufficient
    Either I or II statement
    Neither I nor II is sufficient
    Only I sufficient
    Option D
    Length of train A = l meters
    from I, time taken by train to cross each other = 18secs
    let speed of train A and B = x and y respectively
    relative speed of A and B = (x + y) m/s
    from II, length of train B = 180 meters
    180 + l/x + y = 18
    thus, we can not calculate answer by using these two statements.

     

  4. What will be respective ratio of saving of A and B.
    I. Income of A is 4% less than that of C and also expenditure of A is 12.5% less than that of C. B spend 3/5 th of his income.
    II. C save rs. 7000 and A save rs.7400. Income of B is rs.1000 more than that of C.
    Only I is sufficient
    Only II is sufficient
    Either I or II statement
    Neither I nor II is sufficient
    Only I and II is sufficient
    Option E
    Let income of C = 25x
    income of A = 25x * 96/100 = 24x
    let expenditure of A = 7y
    expenditure of C = 8y
    B spend 3/5 th of his his income
    from II
    saving of C = 7000
    saving of A = 7400
    Income of B is 1000 that of C
    from I and II,
    expenditure of A = 24x – 7y = 7400
    expenditure of C = 25x – 8y = 7000
    by solving two equations,
    x = 600 and y = 1000
    income of B = 25 * 600 + 1000 = 16000
    saving B = 16000 * 2/5 = 6400
    Ratio = 7400 : 6400 = 37 : 32
    statement I and II is required

     

  5. What is the CI on a sum at the end of 3 years ?
    I. CI at the end of two years is rs.110
    II. Difference between CI and SI at the end of two year is rs.100 and rate of percent is 10%.
    Only I is sufficient
    Only II is sufficient
    Either I or II statement
    Neither I nor II is sufficient
    Only I and II is sufficient
    Option B
    From I,
    Sum can not be find out as rate is not given
    From II,
    Difference PR^2/100^2
    100 = P *100/10000
    P = 10000
    only statement II is sufficient.

     

  6. I. x^2v- 41x + 348 = 0
    II. y^2 – 20y + 99 = 0
    X < Y
    X > Y
    X ≥ Y
    X ≤ Y
    X = Y or no relation.
    Option B
    I. x^2 – 29x – 12x + 99 = 0
    x = 29, 12
    II. y^2 – 11y – 9y + 99 = 0
    y = 11, 9

     

  7. I. 2x^2 – 2x _ 24 = 0
    II. 3y^2 – 8y + 4 = 0
    X < Y
    X > Y
    X ≥ Y
    X ≤ Y
    X = Y or no relation.
    Option E
    I. 2x^2 – 8x + 6x – 24 = 0
    x = 8, – 6
    x = 4, -3
    II. 3y^2 – 6y – 2y + 4 = 0
    3y = 6, 2
    y = 2, .67

     

  8. I. 5x^2 – 28x + 15 = 0
    II. 3y^2 – 29 y + 68 = 0
    X < Y
    X > Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option E
    I. 5x^2 – 25x – 3x + 15 = 0
    5x = 25, 3
    x = 5, .6
    II. 3y^2 – 17y – 12y + 68 = 0
    y3y = 17, 12
    y = 5.66, 4

     

  9. I. x^3 = 4913
    II. y^2 = 225
    X < Y
    X > Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option B
    I. x^3 = 4913
    x = 17
    II. y^2 = 225
    y = 15, -15

     

  10. I. 2x^2 – 20x + 48 = 0
    II. y^2 – 15y + 56 = 0
    X < Y
    X > Y
    X ≤ Y
    X ≥ Y
    X = Y or no relation.
    Option A
    I. 2x^2 – 12x – 8x + 48 = 0
    2x = 12, 8
    x = 6, 4
    II. y^2 – 8y – 7y + 56 = 0
    y = 8, 7

     

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