Mixed Quantitative Aptitude Questions Set 198

1. Ratio of the cost price to marked price of the Book is 4: 5. the shop offer a discount of 15% and the marked price of the article is Rs.720. What is the profit percentage of the Book?
   3.25%
   5.25%
   4.25%
   5.25%
   6.25%
   Option E
   CP = 4/5 * 720 = Rs.576
   SP = 720 * 85/100 = Rs.612
   Profit percentage = (612 – 576)/576 * 100
   = 6.25%
   
   
    



2. Kayal and Mayan together can complete a work in 30 days. If Mayan alone complete 20% of the work in 16 days. In how many days Kayal alone complete 75% of the work?
   36
   38
   40
   42
   44
   Option A
   K+ M = 1/30
   M = 5/1 * 16 = 80 days
   K= 1/30 – 1/80
   K = (8 – 3)/240 = 5/240
   K = 1/48
   K complete the 75% of the work in = 48 * ¾ = 36 days
   
   
    



3. Kiran and Mithun invests in the ratio of 2: 3 and the investment period of x months and y months respectively. If the total profit of the business is 3500 and Mithun’s share is Rs.1500, then what is the ratio of x: y?
   2/1
   3/4
   2/5
   4/7
   2/9
   Option A
   profit = 3500 – 1500 = 2000
   (2 * x)/(3 * y) = 2000/1500
   2x/3y = 4/3
   x/y = 2/1
   
   
    



4. Person S invests Rs.8000 in scheme A which offer simple interest at 15% per annum for x years. After x years S received the total amount is Rs.17600. Find the value of x
   5
   6
   7
   8
   9
   Option D
   SI = (P * N * R)/100
   SI = 17600 – 8000 = Rs.9600
   9600 = (8000 * 15 * N)/100
   N = 8 years
   
   
    



5. Ratio of the speed of Ship in still water to river is 4: 1. If the ship rowing the speed of 20 kmph in still water, then what is the ratio of the speed of ship rowing against the current and along the current?
   3: 5
   3: 7
   4: 5
   3: 8
   3: 10
   Option A
   Speed of river = ¼ * 20 = 5 kmph
   Speed of the ship along the river = 20 + 5 = 25 kmph
   Speed of the boat against the river = 20 – 5 = 15 kmph
   Required ratio = 15: 25
   = 3: 5
   
   
    



6. A container of 120 liters contains oil and ghee. If 60 % of oil and 30 % of ghee is taken out, then the vessel will be half empty. Find the ratio of initial quantity of oil and ghee in the container?
   5:6
   2 : 1
   1:6
   7:4
   2:0
   Option B
   O+ G = 120 -à (1)
   (60/100) * O + (30/100) * G = 60
   6O + 3G = 600 —> (2)
   By solving the equation (1) and (2), we get,
   O = 80 liters, G = 40 liters
   Required ratio = 80 : 40 = 2 : 1
   
   
    



7. How many 6 letter words with or without meaning can be formed out of the letters of the word, ‘INCUBATORS’, if repetition of letters is not allowed?
   169006
   350861
   151200
   713058
   601427
   Option C
   The word contains 10 different letters.
   Required number of words = 10p6
   = > (10 * 9 * 8 * 7 * 6 * 5) = 151200
   
   
    



8. A guy drives 360 km from point A to B in 5 hours and backs to point B in 4 hours. If M is the average speed of the entire trip, then the average speed for the journey from B to A exceeds M by?
   10 km/hr
   56km/hr
   89km/hr
   45km/hr
   16km/hr
   Option A
   The speed from A to B = 360/5 = 72 km/hr
   The speed from B to A = 360/4 = 90 km/hr
   The average speed of the entire trip = 2xy/(x+ y)
   = > [(2 * 72 * 90) / 162]
   = > 80 km/hr
   Required difference = 90 – 80 = 10 km/hr
   
   
    



9. A purse has the dollars of 10p, 50p and 1 rupee is in the ratio of 5: 4: 3. If there is Rs. 22 in all, then find the total number of 50p coins?
   90
   14
   54
   98
   16
   Option E
   A purse has the coins of 10p, 50p and 1 rupee is in the ratio = 5: 4: 3 (5x, 4x, 3x)
   22 = [(5x * 10) / 100] + [(4x * 50) / 100] + [(3x * 1)]
   22 = (50x/100) + (200x/100) + 3x
   22 = (x/2) + 2x + 3x
   44 = 11x
   x = 4
   The total number of 50p coins = 4x = 16
   
   
    



10. A express train crosses a pole in 25 sec and the same train crosses a platform of length 150 m in 40 sec. Find the length of the train?
    567m
    605m
    845m
    250 m
    831m
    Option D
    Let the length of express be x,
    Here, the speed of the train is equal. So,
    (x / 25) = (x + 150) / 40
    8x = 5x + 750
    3x = 750
    x = 250
    The length of the train (x) = 250 m