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Railway Express Test 146
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Railway Express Test 146

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  • Question 1/10
    1 / -0.33
    If x = 5 – 2√6, then what is the value of √x + (1/√x)?
    Solutions
    x = 5 – 2√6 = (√3)2 + (-√2)2 -2√2 × √3

    ⇒ x = (√3-√2)2

    ⇒ √x = √3-√2

    and



    ⇒ 

  • Question 2/10
    1 / -0.33
    A and B can do given work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days. In how many days can A and C finish it?
    Solutions
    1 day’s work
    1 day’s work
    1 day’s work
    1 day’s work


    So, C and A can do the work in 8 days.
  • Question 3/10
    1 / -0.33
    what is the last digit in the expansion of (2457)754 ?
    Solutions
    The last digit in the expansion of (2457)754 is depend on value of 7
    When 7 raise to power 1 , last digit is 7
    When 7 is raised to power 2 , last digit is 9
    When 7 is raised to power 3, last digit is 3
    When 7 is raised to power , last digit is 1 
    So,it repeats its last digit after every power multiple of 4 and the process continues like
    When 7 raise to power 5 , last digit is 7
    When 7 raise to power 6 , last digit is 9
    When 7 raise to power 7 , last digit is 3
    When 7 raise to power 8 , last digit is 1
    So, divide the power by 4
    754/4, remainder 2
    Hence, last digit is decided by power 2  i.e  9.
  • Question 4/10
    1 / -0.33
    Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 5 ½ hours less than the first for the journey, the length of the journey is:
    Solutions
    Let x be the length of the journey.
    Time taken by the I bus to cover x km at 45 km/hr
    Time taken by the II bus to cover x km at 60 km/hr
    Since, second bus takes 5 ½ hours less than the first for the journey. Therefore,
  • Question 5/10
    1 / -0.33
    If = x2 – 2x + 2 then the value of x is:
    Solutions
    For x = 1



    &     x2 - 2x + 2 = 12 - 2×1 + 2 = 1

    Therefore the given equation is satisfied with x = 1, hence it would be the correct option.
  • Question 6/10
    1 / -0.33
    The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
    Solutions
    The compound ratio
  • Question 7/10
    1 / -0.33
    A shopkeeper bought some notebooks at the rate of 2 notebook for Rs. 30 and sold at the rate of 3 for Rs. 50. Find the gain percentage:
    Solutions
  • Question 8/10
    1 / -0.33
    A hemi-spherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹ Rs. 5 per 10 sq. cm will be
    Solutions

    Curved surface area of the hemisphere = 2πr2
    = 2 x (22/7) x (7/2) x (7/2) = 77 sq
    As bowl is to painted inside and outside.
    ∴ Total surface to be painted = 77 x 2 = 154 sq cm
    ∴ Cost of painting 154 sq cm = (5/10) x 154=77


  • Question 9/10
    1 / -0.33
    A and B can do a work in 18 and 24 days, respectively. They worked together for 8 days and then A left. The remaining work was finished by B in how many days?
    Solutions

    Let’s say total work = 72 units ( LCM of 18 and 24)


    Work A do per day = 72/18 = 4 units/ day
    Work B do per day = 72/24 = 3 units/ day



    • A+B per day = 7 units/ day

    • (A+B) for  8 days = 7*8 = 56 units


    Remaining work = 72-56 = 16 units (done by B only at the rate of 3 units/day)


    No of days for remaining work = 16/3 = 51/­3 days.

  • Question 10/10
    1 / -0.33
    Average of 36 results is 18. If 2 is subtracted from each result, then what will be the new average of the results?
    Solutions
    Short Trick:
    Average of 36 results = 18
    Since ‘2’ is subtracted from each result, new average will simply be:
    18 (Old average) – 2 = 16
    Hence, the correct option is B
    Alternate Method:
    average of 36 results = 18
    sum of 36 results = 36*18 
    since 2 is subtracted from each result, the new sum will be = 36*18 - 36*2 = 36 *(18-2) = 36*(16)
    new average = 36*(16)/36 = 16
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