Mixed Quantitative Aptitude Questions Set 206

Directions (1-3): Study the following information carefully and answer the questions given below:

There are total 800 people in a mall, each people likes one among the three colours viz. Red, Blue and Pink. Respective ratio of man and woman among them is 9:7. 30% of the men likes Red colour. Respective ratio of number of men who like Red colour and number of women who like Pink colour is 3:2. 25% of the total number of people like Blue colour. Number of boys who like Pink colour is 80% of the total number of people who like Blue colour.

1. Find the respective ratio of total number of people who like Red colour and total number of people who like Pink colour.
   10:5
   3:5
   6:5
   8:5
   7:5
   Option E
   Total = 800

   Number of boys = 800 * (9/16)

   = 450

   Number of girls = 800 * (7/16)

   = 350

   Number of boys like Red colour = (30/100) *450

   = 135

   Number of girls like Pink colour = 135 * (2/3)

   = 90

   Total number of students like Blue colour = (25/100)*800

   = 200

   Number of boys like pink colour = (80/100)*200

   = 160

   Number of boys like Blue colour = 450 – (160+135)

   = 450 – 295

   = 155

   Number of girls like Blue colour = 200 – 155

   = 45

   Number of girls like Red colour = 350 – (90+45)

   = 350 – 135

   = 215

   Required ratio = 350: 250 = 7:5

    

2. Find the difference between number of men who like Blue colour and number of women who like Pink colour.
   45
   55
   65
   75
   70
   Option C
   Required difference = 155 – 90 = 65

    

3. Find the average of the number of women who like Red colour and number of women who like Blue colour.
   130
   120
   110
   140
   150
   Option A
   Required average = (215 + 45)/2 = 260/2 = 130

    

4. The present age of Anish is 120% of the present age of Bragh. Chaithra’s age is 80% of the present age of Bragh. Deepika’s age is twice of Chaithra’s age. The ratio of the present ages of Anish to Elango is 3:2. If after 14 years Elango’s age is 30 years, then what is the present age of Deepika?
   32 years
   22 years
   12 years
   42 years
   52 years
   Option A
   Elango’s present age = 30 – 14 = 16 years

   Anish’s present age = 3/2 * 16 = 24 years

   Bragh’s present age = 100/120 * 24 = 20 years

   Chaithra’s present age = 80/100 * 20 = 16 years

   Davana’s present age = 2 * 16 = 32 years

    

5. Kiran bought out two equal amounts. Some amount is simple interest at 12% per annum for 8 years and another amount is compound interest at 10% per annum for three years. If the total interest amount is 6196.8, find the amount is bought out each case
   5500
   5590
   4580
   4800
   4300
   Option D
   (x * 12 * 8/100) + x * (1 + 10/100)3 – x = 6196.8

   96x/100 + 331x/1000 = 6196.8

   1291x = 6196800

   = > x = 4800

    

6. vessele 1 contains the mixture of juice and water in the ratio of 3: 2 and the Vessele 2 contains the mixture of juice and water in the ratio of 3: 4. The mixture of both the Vessele be mixed obtain the new mixture in Vessele 3, what is the ratio of mixture in new Vessele 3 contains 50% of milk and 50% of water?
   5: 4
   5: 3
   5: 6
   5: 7
   5: 8
   Option D
   4/7 2/5
   1/2
   1/10 1/14

   = 7: 5
   Required ratio = 5: 7

    

7. A train crosses the 300m long bridge in 54 seconds and also crosses the pole in 36 seconds. The same train crosses another 400m long train in 36 seconds. If both the trains are running in opposite direction, then find the speed of second train? (In kmph)
   40 kmph
   30
   20
   54
   50
   Option A
   Length of 1st train = L1

   Speed of first train when crosses 300 m long bridge = S1

   = (L1 + 300)/54 —– (1)

   Speed of first train when crosses a pole = S1 = L1/36 —-(2)

   (L1 + 300)/54 = L1/36

   (L1 + 300)/3 = L1/2

   = > 2 L1 + 600 = 3L1

   Length of first train = 600 m

   S1 = 600/36 = 50/3 m/s

   According to the question,

   (L1 + L2)/36 = S1 + S2

   (600 + 400)/36 = (50/3 + S2)

   1000/36 – 50/3 = S2

   = > (1000 – 600)/36 = S2

   = > 400/36 = S2

   S2 = 400/36 * 18/5 = 40 kmph

    

8. Person 1, 2 and 3 can do the work in 12 days, 24 days and 30 days respectively. They all started working together, after 25% of the work completed 3 leave the job and rest of the work is completed by 1 and 2 together. Find the time taken by 1 and 2 to complete the remaining work
   5 days
   6 days
   4 days
   8 days
   3 days
   Option B
   LCM (12, 24, 30) = 120

   1 completes = 10 units per day

   2 completes = 5 units per day

   3 completes = 4 units per day

   25% of the wok=120 * 25/100 = 30 units

   Remaining work = 120 – 30 = 90

   Time taken by 1 and 2 = 90/15 = 6 days

    

9. Harsha bought 240 liter of milk. That has the milk and water in the ratio of 9:11. If harsha added 120 liter of pure milk in the mixture, then what is the percentage of water in the new mixture?
   54%
   36.66%
   93%
   66%
   12.45%
   Option B
   Milk = 9/20 * 240 = 108

   Water = 11/20 * 240 = 132

   After adding 120 liter milk = 108 + 120 = 228

   Total quantity = 240 + 120 = 360

   Required percentage = 132/360 * 100 = 36.66%

    

10. Lalith and Hemanth can do the piece of work in 20 days. Hemanth is 25% more efficient than Lalith. If Arijith joins with them and the work finished in 15 days, and then find the number of days Arijith alone complete the work?
    50 days
    40 days
    60 days
    30 days
    27 days
    Option

    lalith/hemanth = 4/5

    1/5x + 1/4x = 1/20

    9/20x = 1/20

    x = 9 days

    1/45 + 1/36 + 1/arijith = 1/15

    1/arijith = 1/15 – 1/45 – 1/36

    1/arijith = (36 – 12 – 15)/540 = 1/60