Mixed Quantitative Aptitude Questions Set 89

Directions(1-5): What will come in place of question mark “?” in the following questions.

  1. 15.2% of 726 × 12.8% of 643 = ?
    Option C
    15% of 725 × 13% of 643 = ?
    => ?= 15 100 × 725 × 13 100 × 643
    => ? = 15 × 7.25 × 13 × 6.43
    => ? = 15 × 7.25 × 13 × 6.5
    => ? = 195 × 7.25 × 6.5 = 9189.375 == 9190


  2. (13.96)^2 − (15.03)^2 + (18.09)^2 − 32.65 = ?
    Option A
    (14)^2 − (15)^2 + (18)^2 − 32 = ?
    => ? = 196 – 225 + 324 – 32
    => ? = 196 + 324 – 225 – 32
    => ? = 520 – 257 = 263 == 264


  3. 423.62 – 269.21 ÷ (11.9% of 78) = ?
    Option D
    425 – 270 ÷ (12% of 80) = ?
    => 425 − 270 ÷ ( 12 × 80 100 ) = ?
    => ? = 425 – 270 ÷ 10
    => ? = 425 – 27
    => ? = 398 == 395


  4. (19.97% of 781) + ? + (30% of 87) = 252
    Option D
    (19.97% of 781) + ? + (30% of 87) = 252
    => (20% of 780) + ? + (30 % of 87) = 252
    => 156 + ? + 26 = 252
    => 182 + ? = 252
    => ? = 252 – 182
    => ? = 70


  5. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?
    Option E
    (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?
    = 111.1 + 25.8 + 153.5 = 290.4


  6. The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of Rs. 500. What is the new profit percentage if instead of two successive discounts the markup price was further increased successively two times by the same percentage?
    Option C
    CP = 500
    SP = 576
    MP = 900 [80% above the CP] Now, SP = MP*[1-(R/100)]^2
    576 = 900*[1-(R/100)]^2
    R = 20%
    gain, SP = MP*[1+(R/100)]^2
    SP = 900*[1+(20/100)]^2
    SP = 1296
    New Profit Percentage, = [(SP-CP)/CP]*100
    = [(1296-500)/500]*100 = 159.2%


  7. Verma has a total of Rs. 24,000. And in that, he lends Rs. 6,000 at 7 2% per annum simple interest and Rs. 8,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 3200 at the end of a year. The rate of interest per annum, at which the remaining money is lent, is?
    Option B
    For first loan SI = PNR/100 = 6000×7×1/100×2 = 210
    For Second loan = 8000×6×/100 = 480
    Total interest = 3200
    So, for the third loan SI=3200- (480+210) = 2510
    Rate of interest for third loan = 2510 × 100/10000
    = 25.1% == 25%


  8. A 20 litres mixture contains milk and water in the respective ratio of 3 : 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively ?
    Option D
    Original quantity of milk = 20*3/5 = 12 l
    and water = 20 – 12 = 8 l
    Ratio of milk and water after first changing = (12-6)+10 : (8-4) = 4 : 1
    Ratio of milk and water after second changing = (16-8)+10 : (4-2) = 9 : 1


  9. In a circus, there was a leopard and a tiger walking in the two different rings of same radii. There Anjali observed that when leopard moved three steps, tiger moved 5 steps in the same time, but the distance traversed by leopard in 5 steps is equal to the distance traversed by tiger in 4 steps. What is the number of rounds that a leopard made when tiger completed 100 rounds?
    Option D
    Ratio of speeds = Ratio of distances, when time is constant.
    Ratio of distance covered by Leopard to the tiger = 12 : 25
    Again, Ratio of rounds made by Leopard to the tiger = 12 : 25
    = 48 : 100


  10. When two dice are rolled, find the probability of getting a greater number on the first die than the one on the second, given that the sum should equal 8.
    Option B
    Let the event of getting a greater number on the first die be G.
    There are 5 ways to get a sum of 8 when two dice are rolled = {(2,6),(3,5),(4,4), (5,3),(6,2)}.
    And there are two ways where the sum should equal 8, G = {(5,3), (6,2)}.
    Therefore, P(Sum equals 8) = 5/36 and P(G) = 2/36. = (2/36)/(5/36) = 2/5


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