Quantitative Aptitude – Mixed Questions Set 6

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Q(1-5) In the following questions two equations numbered I & II are given. You have to solve both equations and mark one of the option given below.

1. Q(1-5) Find out the wrong number in the following series
   22,10,8,11,20,49,96
   1. 8
   2. 11
   3. 49
   4. 96
   5. 20
   
   Answer & Explanation

   Answer – 4. 96
   Explanation :
   Solution:
   22*0.5 – 1 =10
   10*1 – 2 = 8
   8*1.5 – 1 = 11
   11*2 – 2 = 20
   20*2.5 – 1 = 49
   49*3 – 2 = 145
   
   
2. 8,19,188,573,1154,1159
   1. 19
   2. 188
   3. 573
   4. 1154
   5. 1159
   
   Answer & Explanation

   Answer – 1. 19
   Explanation :
   Solution:
   (8+1)*5 = 45
   (45+2)*4 = 188
   (188+3)*3 = 573
   (573+4)*2 = 1154
   (1154+5)*1 = 1159
   
   
3. 5,17,37,73,113,143
   1. 5
   2. 17
   3. 73
   4. 113
   5. 143
   
   Answer & Explanation

   Answer – 5. 143 
   Explanation :
   5+11+1 = 17
   17+22-2 = 37
   37+33+3 = 73
   73+44-4 = 113
   113+55+5 = 173
   
   
4. 15,17,25,65,145,295
   1. 17
   2. 25
   3. 65
   4. 145
   5. 295
   
   Answer & Explanation

   Answer – 2. 25
   Explanation :
   15+1²+1³ = 17
   17+2²+2³ = 29
   29+3²+3³ = 65
   65+4²+4³ = 145
   145+5²+5³ = 295
   
   
5. 10,10,22,4,84,16
   1. 10
   2. 22
   3. 4
   4. 84
   5. 16
   
   Answer & Explanation

   Answer – 5. 16
   Explanation :
   10+1 2 -1 3 = 10
   10+2 2 +2 3 = 22
   22+3 2 -3 3 = 4
   4+4 2 +4 3 = 84
   84+5 2 -5 3 = -16
   
   
6. A set of 11 pipes can fill 85% of a Tank in 8 min 30 sec. Another set of 9 pipes fills 4/9 of the Tank in 6 min 40 sec, a Third set of 8 pipes can empty 11/24 of the Tank in 8 min 15 sec. All the 28 Pipes are opened at 03:32 PM then the tank gets filled at what time?
   1. 3:36 PM
   2. 3:40 PM
   3. 3:41 PM
   4. 3:45 Pm
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 3. 3:41 PM
   Explanation :
   1/10+ 1/15 – 1/18 = 1/9
   9 minutes
   03:32 + 9 min = 03:41
   
   
7. When Suresh was born, his father age was 27 years older than his Brother and his Mother was 24 years older than his Sister. If his Brother is 2 year is elder than his Sister.Then his Father is how many years older than his Mother after 6 years?
   1. 4
   2. 5
   3. 6
   4. 7
   5. Cannot be determined
   
   Answer & Explanation

   Answer – C. 24 Months
   Explanation :
   Sister age = x
   Father age = x+29
   Mother age = x+24
   29-24 = 5
   
   
8. A cuboid of length 18 m, breadth 17 m and height 12 m is cut into two halves by cutting across the Length. Again it is cut into four halves by cutting across the Height. Now One cube is removed from them then what is total surface area of the remaining cuboid?
   1. 1452 m²
   2. 1444 m²
   3. 1344 m²
   4. 1320 m²
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 3. 1344 m²
   Explanation :
   2*(18*17+17*12+12*18) – 2(9*6) = 1344
   
   
9. Raju and Ramu can complete a work alone in 24 hours and 30 hours respectively, working 10 hours a day. Every day there are two shits- Morning and Night Shift for 6 and 4 hours respectively. On first day Raju works in Morning shift while Ramu works in Night shift. Next day Ramu works in Morning shift while Raju works in Night shift. They repeat the cycle until the work is completed. Then how many hours does Raju worked in total?
   1.130
   2.136
   3.140
   4.146
   5.Cannot be determined
   
   Answer & Explanation

   Answer – 2.136
   Explanation :
   Day 1 : 6/240+4/300
   Day 2 : 4/240 + 6/300
   2 days work : 10/240 + 10/300 = 9/120
   2*13 days work = 117/120
   remaining work = 3/120
   Now Raju’s turn in morning shift
   3/120*240/6 =1(completes in his shift)
   Total Raju Hour’s = 13*6+13*4+6 =136
   
   
10. A man can cross a downstream river with Streamer and Boat in 40 minutes and 72 minutes respectively. If the time of crossing Upstream by streamer is 50% more than Downstream time and the time required by Boat in Upstream is 75% more than time required by it in Downstream. What is the time taken for the man to cross the river downstream by streamer and then return to same place by Boat half way and by streamer the rest of the way?
    1. 113 minutes
    2. 123 minutes
    3. 133 minutes
    4. 143 minutes
    5. None
    
    Answer & Explanation

    Answer – 3. 133 minutes
    Explanation :
    Upstream – streamer – 60 min
    Upstream – Boat – 126 min
    40+30+63 = 133 minutes