Please wait...

Quant Mix Test 328
Result
Quant Mix Test 328

  • /

    Score

  • -

    Rank
Time Taken: -
  • Question 1/10
    1 / -0.25
    Find the Number of Factor of 1420
    Solutions

    1420 = 2 × 2 × 5 × 71 = 22 × 51 × 711

    No. of factors

    = (2 + 1) × (1 + 1) × (1 + 1)

    = 3 × 2 × 2 = 12

  • Question 2/10
    1 / -0.25
    If x2+1 = 2x; then the value of is
    Solutions
    (Given)
    ∴ Given expression



  • Question 3/10
    1 / -0.25
    In the given figure XYZ is a secant and ZT is a tangent. What is the value of x?


    Solutions

    By the properties of secant,

    ZT2 = ZY × ZX

    ⇒ 62 = 4 × (4 + x)

    ⇒ 4x + 16 = 36

    ⇒ 4x = 36 – 16 = 20

    ⇒ x =  = 5

  • Question 4/10
    1 / -0.25
    Shyam can complete a task in 12 days by working 10 hours a day. How many hours a day should he work to complete the task in 8 days?
    Solutions

    Total work of Shyam = 12 × 10 = 120 hours

    Now, hours per day required in order to complete the work in 8 days

    =  = 15 hours

  • Question 5/10
    1 / -0.25
    What is the ratio of the mean proportional between 24 and 150 and the third proportional of 12 and 6√5?
    Solutions

    Let, the third proportion of 12 and 6√5 is x.

    If 12, 6√5 and x will be in continuous proportion.

    Then, 12/(6√5) = (6√5)/x

    ⇒ 12x = 6√5 × 6√5

    = 12x = 36 × 5

    ⇒ x = 15

    Mean proportional between 24 and 150 =  = 60

    ∴ Required ratio = 60 : 15 = 4 : 1

  • Question 6/10
    1 / -0.25
    If the numerical value of the perimeter of an equilateral triangle is √3 times the area of it, then the length of each side of the triangle is:
    Solutions
    Perimeter of an equilateral triangle = 3a
    [Where "a" is the length of the side]

    Area of an equilateral triangle =     (√3/4) × a2

    According to the question,
    ⇒ 3a = √3 × (√3/4) × a2 

    ⇒ a = 4 units.

    Hence Option C is correct.
  • Question 7/10
    1 / -0.25
    The minimum value of cos2θ + sec2θ is
    Solutions
    We know that the minimum value of acos2x+bsec2x =
    Hence minimum value of cos2 θ + sec2θ = = 2
  • Question 8/10
    1 / -0.25
    The cost price of 12 pens is equal to the selling price of 8 pens. The profit percentage is:
    Solutions

    We know that,

    SP = CP + profit

    According to question,

    12 CP = 8 (CP + profit)

    12 CP = 8 CP + 8 profit

    4CP = 8 profit

    Profit / CP = ½

    Profit % = Profit/CP × 100 = ½ × 100 = 50%

  • Question 9/10
    1 / -0.25
    The average of 6 numbers is 20. If one number is removed, the average becomes 15. What is the number removed?
    Solutions

    Basic method : Let the six numbers be

    Average =

    ∴

    Let the removed number be

    When the number is removed =

    ∴

    Alternate method : Removed number = 20×6 – 15×5 = 45.

  • Question 10/10
    1 / -0.25

    Directions For Questions

    Direction: The following graph represents the salary, expenditure, tax and savings (in rupees) per month of the persons A, B, C and D per month.

    Study the graph and answer the question.

    ...view full instructions

    The expenditure as a percentage of salary is the least for:

    Solutions

    Expenditure as a percentage of salary for A =  = 50%

    Expenditure as a percentage of salary for B =  = 41.67%

    Expenditure as a percentage of salary for C =  = 37%

    Expenditure as a percentage of salary for D =  = 37.5%

    Hence, expenditure as a percentage of salary is the least for C.

User Profile
-

Correct (-)

Wrong (-)

Skipped (-)

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now