Mixed Quantitative Aptitude Questions Set 155

  1. Gita buys a plot of land for Rs 36000. She sells 2/5th of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is.
    59/3 %
    67/5 %
    61/4 %
    62/3 %
    53/2 %
    Option D
    Land at 6% loss /Land at x% profit = (x – 10)/ 16
    ⇒ 2/5/3/5 = x – 10/16
    => 2/3 = x – 10/16
    ⇒ x = 62/3 %

     

  2. 600 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

    110g
    130g
    125g
    100g
    120g
    Option E
    Let x g sugar is added Original sugar = 600 × 40/100 = 240 g
    (240+x)/ (600+x) × 100 = 50
    ⇒ 480 + 2x = 600 + x
    ⇒ x = 120g

     

  3. A milk seller has milk of Rs 100 per litre, in what ratio should water be mixed in that milk so that after selling the mixture at Rs 80 per litre, he gets a profit of 50%?
    8:9
    3:4
    7:8
    1:3
    5:4
    Option C
    Cost price of mixture = 80 × 100/150 = 160/3
    Milk :Water = 160:140 = 8:7
    Water: Milk = 7:8

     

  4. A person has Rs 8400. He lent a part of it at 4% and the remaining at 10/3 % at simple interest. His total annual interest was Rs 294. Find the sum he lent at 4%.
    Rs.1500
    Rs.1800
    Rs.2100
    Rs.2500
    Rs.3000
    Option C
    Let annual rate is r%.
    r = 100 × 294/8400 × 1 = 3.5%
    Sum at 4% /Sum at 10/3% = 1/6:1/2 = 1:3
    Sum at 4% = 1/4 × 8400 = Rs.2100

     

  5. How many kg of sugar worth Rs. 25 per kg must be blended with 30 kg of sugar worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be gain of 10%?
    20 kg
    36 kg
    33 kg
    22 kg
    30 kg
    Option B
    C.P. of mixture of sugar = 30 × 100/110 = 300/11 rupee⁄kg
    According to law of mixture ,
    sugar1/sugar2 = 30/25 = 6/5
    Quantity of sugar 1 = 6/5 × 30 = 36 kg

     

  6. 15 men can do a work in 12 days. 18 women can do the same work in 20 days. In how many days 8 men & 12 women together will complete that work?
    15(1/8) days
    12(6/7) days
    11(3/4) days
    13(5/7) days
    10(2/5) days
    Option B
    Let efficiency of one man and one woman be ‘m’ units/day and ‘w’ units/day respectively. 15m × 12 =18w × 20
    1m = 2w
    Now,(8m + 12w) ×x = 18w × 20
    => (16w + 12w) ×x = 18w × 20
    =>𝑥 = 18𝑤 × 20/28𝑤 = 12(6/7) days

     

  7. A sum of money fetches Rs 240 as simple interest at the rate of 5 p.c.p.a. after 6 years. What is that sum?
    Rs. 700
    Rs. 800
    Rs. 400
    Rs. 500
    Rs. 600
    Option B
    Principal = 𝑆𝐼 × 100/𝑇𝑖𝑚𝑒 × 𝑅𝑎𝑡𝑒
    = 240 × 100/5 × 6 = Rs. 800

     

  8. A boat running upstream takes 20 minutes to cover a distance of 12 km, while it takes 22 minutes to cover a distance of 22 km in downstream. Find the speed of current.
    10 km/hr.
    14 km/hr.
    12 km/hr.
    15 km/hr.
    17 km/hr.
    Option C
    Upstream speed = 12/20 × 60 = 36 km/hr.
    Downstream speed = 22/22 × 60 = 60 𝑘𝑚/ℎ𝑟
    x -y = 36 …(i)
    x + y = 60 …(ii)
    from (i) & (ii)
    y = 12 km/hr.

     

  9. A circular road runs around a circular ground. If the radius of the ground is 3.5m and the difference between the circumference of the outer circle and that of the inner circle is 88 m, then the area of the road is:
    920 𝑚^2
    819 𝑚^2
    888 𝑚^2
    900 𝑚^2
    924 𝑚^2
    Option E
    Let the radius of the outer circle be R m.
    And the radius of the inner circle be r m.
    Then, according to the question 2𝜋𝑟 − 2𝜋𝑟 = 88
    𝑜𝑟, 𝑅 − 𝑟 = (88 × 7)/(2 × 22) = 14
    => R = 14 + r = 14 + 3.5 = 17.5 m
    Now, area of the road = π (17.5² – 3.5²) = 22/7 × 21 × 14 = 924 𝑚^2

     

  10. How many different 5 digits numbers can be made from the first 7 whole numbers, using each digit only once?
    2121
    2200
    2160
    2110
    2000
    Option C
    Required number of 5 digit number = 6 × 6 × 5 × 4 × 3 = 2160

     


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