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Railway Express Test 147
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Railway Express Test 147
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  • Question 1/10
    1 / -0.33

    ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other; if ∠ABC = 75° then the measure of ∠BCD is :
    Solutions

    Since, ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other; if ∠ABC = 75°
    Therefore,

    ∠ADC = 180o - ∠ABC = 105o
    ∠BCD = 180o - ∠ADC = 75o

  • Question 2/10
    1 / -0.33

    Sandeep deposits 10000 amount at 10% annual rate of interest for three year. What is difference between compound interest and simple interest of this term?

    Solutions

    SI = PRT/100 = 10000*10*3/100 = Rs.3000

    CI = P(1 + r/100)3 - P
    CI = 10000(11/10)3 - 10000
    CI = 13310 - 10000 = Rs.3310

    Difference = CI - SI = 3310 - 3000 = Rs.310

  • Question 3/10
    1 / -0.33

    Value of (4a2 + 12ab + 9b2)/(2a + 3b) is
    Solutions

  • Question 4/10
    1 / -0.33

    In an acute-angled triangle ABC if sin(B + C - A) = √3/2 and tan(C + A – B) = 1 then ∠C is equal to:
    Solutions
    Given that, 

    sin(B + C - A) = √3/2
     
    ⇒ B + C – A = 60°  ----------(i)

    And tan(C + A – B) = 1

    ⇒ C + A – B = 45°  ----------(ii)


    Adding both of these numbers, we get


    ⇒∠C = 52.5°
  • Question 5/10
    1 / -0.33

    Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16.5 km/hour, the time taken by him is
    Solutions
    Distance covered on foot

    Time taken on cycle
  • Question 6/10
    1 / -0.33

    Three persons walk from place A to place B. their speed are in the ratio 4 : 3 :5. The ratio of the times taken by them to reach B will be :
    Solutions
    Time taken is inversely pro-portional to relevant speeds.
    Required ratio
  • Question 7/10
    1 / -0.33

    Find the length of the largest pen that can be placed in a box. The length, breadth and height of the box are 12, 9 and 8 cm respectively.
    Solutions
    Since the box is in cuboid shape,
    The length of the largest pen = Diagonal of Cuboid


  • Question 8/10
    1 / -0.33

    A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?
    Solutions
    Let he buy 100 litre milk so cost price = 3000
    After adding 1/5 of water amount will be = 100+ 100× 1/5 = 120 litre
    Selling price = 32 rupee per litre
    So Gain = SP – CP = (32×120)-3000= 840 Rupee
    %Gain= 840/3000 ×100= 28%
  • Question 9/10
    1 / -0.33

    The area of the largest circle, which can be inscribed in a square whose perimeter is 240 cm, is
    Solutions
    Let a be the side of square
    Perimeter of square = 4a = 240 a = 60 cm
    Diameter of circle = side of square = 60 cm
    Radius of circle = 30 cm
    Area of the largest circle =
  • Question 10/10
    1 / -0.33

    The ratio of the incomes of A and B as well as of B and C is 3 : 2. If one third of As income exceeds one fourth of C's income by 1000, what is B's income in Rs?
    Solutions
    A:B = 3:2 and B:C = 3:2
    Thus, A:B:C = 9:6:4
    So A income = 9x, B = 6x and C = 4x
    According to given situation,
    1/3 of 9x – 1/4 of 4x = 1000
    x = 500
    So B income = 6x = 3000
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