Mixed Quantitative Aptitude Questions Set 112

Directions(1-5): What approximate value will come in place of question mark ‘?’ in the following questions.

1. [(55% of 740 + 408) – ? *(41*13 – 515)] = 77
   28
   35
   30
   41
   49
   Option D
   [(55% of 740 + 408) – ? *(41*13 – 515)] = 77
   =>[ (407+408)- ?*(41*13-515)] = 77
   => [815 – ?*(533 – 515)] = 77
   => ?*18 = 738
   => ? = 41

    

2. [29*9 + (589/19*3) – 14*17] = ?
   120
   129
   116
   132
   161
   Option C
   [29*9 + (589/19*3) – 14*17] = ?
   => 261 + (31*3) – 238 = ?
   => (261 + 93 – 238) = ?
   => ? = 116

    

3. [? – (16*17 – 309) – (483/23+39)] = 284
   187
   150
   177
   170
   163
   Option A
   [? – (16*17 – 309) – (483/23+39)] = 284
   => ? – (272 – 309) – (21+39) = 284
   => ? + 97 = 284
   => ? = 187

    

4. 612.12/17.91 + 11.04 *17.97 – (735.97/16) = ?
   190
   195
   200
   186
   188
   Option D
   612.12/17.91 + 11.04 *17.97 – (735.97/16) = ?
   => (612/18) + 11*18 – (736/16) = ?
   => 34 + 198 – 46 = ?
   => ? = 186

    

5. (65.05% of 919.95 – 21.95*8.13) – 12.11*? = 109.90
   15
   26
   12
   20
   14
   Option B
   (65.05% of 919.95 – 21.95*8.13) – 12.11*? = 109.90
   => (65% of 920 – 22*8) – 12*? = 110
   => 422 – 12*? = 110
   => ? = 26

    

6. A,B and C started a business with initial investments of Rs.1200, Rs.1500 and Rs.1800 resp. After one year A,B and C together invested Rs.2200 in the ratio 2:6:3 resp. Find the profit share of B out of the total profit of Rs.1224.
   Rs.444
   Rs.433
   Rs.425
   Rs.459
   Rs.400
   Option D
   Additional investments of A,B and C resp. = 2/11*2200, 6/11*2200 and 3/11*2200 = 400,1200 and 600
   Ratio of their investments = 2800:4200:4200 = 2:3:3
   Profit share of B = 3/8*1224 = Rs.459

    

7. Average age of a family of 6 persons four years ago was ‘x’ years. A baby born in between these four years. Now the averega age of the family is same as it was four years ago. Find the value of x if the present age of the baby is 2 years.
   26
   30
   22
   35
   37
   Option A
   Sum of the ages of the 6 family members 4 years ago = 6x years
   Sum of the ages of the 7 family members 4 years ago = 7x years
   6x+6*4+2 = 7x
   => x = 26

    

8. Vessel P contains mixture of milk and water mixed in the ratio 11:14 resp. Another vessel Q contains mixture of milk and water in the ratio 9:1 resp. In what ratio the mixture from container P is mixed with the mixture in container Q so as to obtain the resultant mixture having milk and water mixed in the ratio 4:1 resp.
   2:1
   1:5
   3:5
   3:2
   7:6
   Option D
   Fraction of milk in container P = 11/15
   Fraction of milk in container Q = 9/10
   P —— Q
   11/15 ——— 9/10
   ———4/5
   1/10 ———– 1/15
   => 3:2

    

9. A,B and C can do a certain piece of work individually in 24,32 and 28 days resp. They started working together but after x days B left the job and 2x days before the completion of the work C left. Thus the whole job is completed in ‘4x-1’ days. Find the value of x.
   5
   3
   4
   6
   8
   Option C
   (4x-1)/24+x/32+(2x-1)/28 = 1
   => [28(4x-1) + 21x + 24(2x-1)]/672 = 1
   => x = 4

    

10. A bag contains certain number of wrist watches out of which 7 are not working. Two watches are drawn randomly from the bag. The probability that one watch is working and other is not working is 7/18. Find the number of watches in the bag. (Number of working watches are more than the number of defected watches)
    20
    22
    30
    28
    21
    Option D
    Let total number of watches in the bag be x. xC1*7C1/(x+7)C1 = 7/18
    => x^2 – 23x + 42 = 0
    => x = 2,21
    Total number of watches in the bag = 21+7 = 28