Mixed Quantitative Aptitude Questions Set 129

1. The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is 6/5, what is the original fraction?
   22/7
   17/5
   21/4
   20/3
   28/5
   Option E
   [x – 25x/100]/[y + 250y/100] = 6/5 =>75x/350y = 6/5 =>x /y = 28/5
   
    



2. What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
   4
   2
   6
   3
   8
   Option B
   When compounded yearly, Student = 200 When compounded half – yearly r = 2%, n = 2 Interest = 202 Difference = 202 – 200 = 2
   
    



3. A profit of 8% is made by selling a shirt after offering a discount of 12%. If the marked price of the shirt is Rs.1080, find its cost price.
   800
   820
   880
   833
   850
   Option C
   Cost Price = 1080*88/100*100/108 = 880
   
    



4. A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A’s investment was 7 months, B invested the money for how many months.
   10 months
   50 months
   40 months
   30 months
   20 months
   Option A
   Let B invested money for x months. 5*7 : 7*x = 1:2 =>x = 10 months
   
    



5. How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
   4
   7
   5
   8
   9
   Option C
   Let required quantity = x 21/(9+x) = 3/2 =>x = 5
   
    
Directions(6-10): Find the missing term '?' of the following series.


6. 4,3,4,7,15, ?
   38.5
   30.1
   33.3
   29.7
   32.2
   Option A
   *0.5+1 *1+1 *1.5+1 *2+1 ? = 38.5
   
    



7. 23,55,136,200,?,231
   212
   200
   225
   218
   202
   Option C
   +2^5,+3^4,+4^3,+5^2,+6^1 ? = 225
   
    



8. 7,5,7,17,63, ?
   313
   309
   319
   330
   311
   Option B
   *1-2 *2-3 *3-4 *4-5 *5-6 ? = 309
   
    



9. 2, 60, 10, 120, 30, ?
   200
   210
   222
   230
   214
   Option B
   1^3 + 1 4^3 - 4 2^3 + 2 5^3 - 5 3^3 + 3 6^3 – 6 ? = 210
   
    



10. 11,14,19,28,43, ?
    60
    52
    74
    66
    59
    Option D
    Double difference ? = 66