Quantitative Aptitude – Mixed Questions Set 12

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Q (1-5) In the given series identify what should come in place of question mark(?)

1. 15, 74, 49, 24, -1, ?
   1. -15
   2. -18
   3. -23
   4. -26
   5. None
   
   Answer & Explanation

   Answer – 4. -26
   Explanation :
   15*5-1 = 74
   15*4-11 =49
   15*3-21 = 24
   15*2-31 =-1
   15*1-41= -26
   
   
   
2. ?, 11,24,75,304
   1. 5
   2. 6
   3. 7
   4. 9
   5. 10
   
   Answer & Explanation

   Answer – 5. 10
   Explanation :
   10*1+1 =11
   11*2+2 =24
   24*3+3 =75
   75*4+4 =304
   
   
   
3. ?, 4, 45, 176, 475
   1. -1
   2. 1
   3. 2
   4. 3
   5. 5
   
   Answer & Explanation

   Answer – 1. -1
   Explanation :14 -13-12 =-1
   24 -23-22 =4
   34 -33-32 =45
   44 -43-42 =176
   54 -53-52 =475
   
   
   
4. 3, 7,?, 24, 33,69
   1. 8
   2. 15
   3. 18
   4. 21
   5. 23
   
   Answer & Explanation

   Answer – 1. 8
   Explanation :
   3+ (1+1)2 =7
   7+ (2-1)2 =8
   8+ (3+1)2 =24
   24+ (4-1)2 = 33
   33+ (5+1)2 = 69
   
   
   
5. 12, 42, 174, 654, 1914, 3774, ?
   1. 3714
   2. 3774
   3. 6374
   4. 8124
   5. None
   
   Answer & Explanation

   Answer – 1. 3714
   Explanation :
   12*6-30 =42
   42*5-36 =174
   174*4-42=654
   654*3-48=1914
   1914*2-54 =3774
   3774*1-60 = 3714
   
   
   
6. A tank is connected with four pipes A, B, C and D of which two are inlet pipes and two are outlet pipes. The time taken by the pipes A, B, C and D either to fill or empty the tank is 12, 15, 30 and 24 hrs respectively. All the four pipes are opened then they filled an empty tank in 120 hrs. Then which two pipes could be the outlet pipes?
   1. A and B
   2. B and C
   3. C and D
   4. A and C
   5. B and D
   
   Answer & Explanation

   Answer – 5. B and D
   Efficiency of A, B, C and D are = 8.333%, 6.666%, 3.333% and 4.166%
   Efficiency of A+B+C+D is = 0.833%
   Now comparing options
   (8.333+3.333-6.666-4.1666) = 0.833%
   Hence B and D
   
   
   
7. In a family of four members -Father, Mother, Son, and Daughter the sum of their ages 8 years ago is 100. Today the daughter was married and left the family. If after 2 years son gets married and his wife will join the family then the sum of their ages is 137.If the sum of ages of Daughter and Son’s wife is 41. Then what would be the age son’s wife when daughter was married?
   1. 22
   2. 21
   3. 20
   4. 18
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 4. 18
   Explanation:
   F+M+S+D -8*4 = 100
   F+M+S+D = 132
   After two years
   F+M+S+6+W = 137
   F+M+S+W =131
   D-W =1
   D+W =41
   D= 21 W =20
   Age =20-2 =18
   
   
   
8. A solid sphere of 8cm is melted to form a number of small cones and number of cylinders in the ratio of 2:1.The radius of each cone thus formed is equal to its height. The radius of each cylinder is equal to half of its height. The radius of cone and cylinder are equal. The height of the cylinder is 4cm. The number of small cones formed is?
   1. 32
   2. 64
   3. 128
   4. 256
   5. None
   
   Answer & Explanation

   Answer – 2. 64
   Explanation:
   4/3*83 = 2nr3 (1/3+1)
   r =2
   n =32
   Cones = 2n =64
   
   
   
9. x’ workers are employed to complete a work. From second day onwards, one worker left every day. The work was finished when the last worker was left. If no worker is left after work started, then they would have finished the work in 55% of the time. Then how many workers are employed initially?
   1. 10
   2. 11
   3. 12
   4. 15
   5. 20
   
   Answer & Explanation

   Answer – 1. 10
   (x+x-1+x-2+ ………+2+1)= x*x*55/100
   x (x+1)/2 = x*x*55/100
   x =10
   
   
   
10. In a flowing river, Ramesh can row 30 Km downstream in 10 hrs less than Upstream. But the downstream journey would take 2 hrs less than Upstream to cover the same distance at double the speed. What is his speed of the river in km/hr?
    1. 1 Km/hr
    2. 2 Km/hr
    3. 3 Km/hr
    4. 4 Km/hr
    5. Cannot be determined
    
    Answer & Explanation

    Answer – 2. 2 Km/hr
    10 = 30/S-R – 30/S+R
    2 = 30/2S-R – 30/2S+R
    R =2