Mixed Quantitative Aptitude Questions Set 156

Directions(1-5): Find the odd one out of the following series.

1. 11,16,32,59,75,81
   75
   32
   16
   81
   11
   Option D
   +5^1,+4^2,+3^3,+2^4,+1^5
   76 should be in place of 81.
   
   
    



2. 21,120,208,295,351,406
   21
   295
   120
   208
   406
   Option B
   +99,+88,+77,+66,+55
   285 should be in place of 295.
   
   
    



3. 41,50,75,124,245,470
   41
   50
   470
   75
   124
   Option C
   +3^2,+5^2, +7^2, +11^2, +13^2
   414 should be in place of 470.
   
   
    



4. 240,220,198,170,140,110
   240
   220
   140
   110
   170
   Option B
   -2*9, -2*8, -2*7, -2*6, -2*5
   222 should be in place of 220.
   
   
    



5. 10,22,46,118,202,310
   22
   10
   118
   46
   202
   Option D
   +12*1, +12*3, +12*5, +12*7, +12*9
   58 should be in place of 46.
   
   
    



6. A shopkeeper bought an article for Rs.10x and marked it ‘x’% above the cost price and sold it after two consecutive discounts of 20% and 25%. Find the difference between the marked price and the cost price of the article if in this transaction, he has a profit of Rs.384.
   Rs.1400
   Rs.1250
   Rs.1320
   Rs.1000
   Rs.1440
   Option E
   MP = 10x*(100+x)/100 = Rs.10x+0.1x^2
   SP = 10x+384 = (10x+0.1x^2)*0.75*0.80
   10x+384 = 6x+0.06x^2
   => 3x^2 -200x – 19200 = 0
   => x=120
   CP = Rs.1200
   MP = 1200*2.20 = Rs.2640
   Difference = 2640 – 1200 = Rs.1440
   
   
    



7. P,Q and R started a business together with an initial investment in the ratio 4:7:10 resp. After one year P,Q and R made additional investments of Rs.4000, Rs. 4500 and Rs.5000 resp. Find the initial investment of Q, if the profit share of P out of the total profit of Rs.5310 after two years is Rs.1180.
   Rs.5125
   Rs.5200
   Rs.5250
   Rs.5115
   Rs.5000
   Option C
   Ratio of their investments = 4x+4x+4000:7x+7x+4500:10x+10x+5000
   = 8x+4000:14x+4500:20x+5000
   (8x+4000)/(42x+13500) = 1180/5310
   =>x = 750
   Initial investment of Q = 7*750 = Rs.5250
   
   
    



8. Vessel A contains mixture of milk and water mixed in the ratio of 11:3 resp. Another Vessel B contains 72 litres mixture of milk and water mixed in the ratio of 7:2 resp. half of the mixture from Vessel A is taken out and poured in Vessel B. Now, the ratio of milk to water in Vessel B becomes is 61:17. Find the difference in the quantities of milk and water present in Vessel A initially.
   87
   80
   120
   96
   100
   Option D
   [(56+11x/2)]/[16 + 3x/2] = 61/17
   =>x = 12
   Difference = 132 – 36 = 96 L
   
   
    



9. A contractor got a contract of constructing a bridge in 45 days. He employed 75 workers for the work but after 40 days he realized that only 75% of the work is done. How many more workers does he need to employ so as to complete the work on time?
   125
   100
   110
   115
   120
   Option A
   Let the contractor employed ‘x’ more workers after 40 days.
   (75*40)/0.75 = {(x+75)*5}/0.25
   => 20x + 1500 = 4000
   =>x = 125
   
   
    



10. Present ages of A and B are in the ratio is 7:5 resp. Present age of C is 20% more than the age of B five years ago. Find the present age of A, if the present average age of A, B and C is 2 years more than the present age of B.
    20
    18
    16
    12
    28
    Option E
    Present age of C = (5x-5)*1.20 = 6x-6 years
    7x + 5x + 6x – 6 = 3*(5x+2)
    =>18x – 6 = 15x+6
    =>x = 4
    Present age of A = 28 years