Mixed Quantitative Aptitude Questions Set 166

1. If A can complete a work in 30 days, B can do the same work in 36 days, If after doing 5 days, leaves the work.Find in how many days B will do the remaining work ?
   40
   20
   50
   30
   10
   Option D
   A = 1/30, B = 1/42
   6 days work = 5*1/30 = 1/6
   Remaining = 5/6
   B = 5*36/6 = 30 Days
   
   
    



2. P is 20 % more efficient than Q, how much time will they working together take to complete a job which P alone could have done in 20 days ?
   9
   12
   10
   13
   11
   Option E
   P : Q = 100 : 120
   10/12 = 20/x
   12/10 = x/20
   X = 24
   Q = 1/24 or 20*120/100 = 24
   P+Q = 1/20 + 1/24
   = 24+20/480 = 44/480 = 10.91 = 11 days (Approx.)
   
   
    



3. The ratio of the number of boys to that of girls in a school is 3:2. If 30% of boys and 70% of girls appeared in an examination, the ratio of students appeared in the examinations to that not appeared in the examination is:
   21 : 23
   23 : 28
   29 : 27
   23 : 21
   23 : 27
   Option E
   3:2 = 30:20
   30% boys = (30/100) × 30= 9
   70% girls = (70/100) × 20 = 14
   (9+14) : (50-23) = 23 : 27
   
   
    



4. The prices of two articles are in the ratio 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article is:
   Rs. 48
   Rs. 61
   Rs. 52
   Rs. 40
   Rs. 45
   Option D
   Let the price of two articles are 3X and 4X.
   After increment the ratio will be:
   110% of 3x/(4X+4) = 3/4
   x=10
   Thus the CP of second article = 4X = 4*10 = Rs. 40
   
   
    



5. The average salary of 120 employees of a company is Rs.15,000 per month. If the no of juniors is thrice the no of seniors and average salary of juniors is 1/3rd of the average salary of seniors then find the average salary of seniors ?
   25000
   41000
   30000
   32000
   28000
   Option C
   120 = 1:3 =30:90 = Senior : Junior
   120*15000 = 30*x+ 90 *x/3
   18,00,000 = 90x+90x/ 3
   54,00,000*3 = 180x
   X = 30000
   
   
    



6. In a class the average weight of 20 students is 60 kg. Also if the weight of the teacher is added, the average is increased by 2kg. Find the teacher’s weight ?
   90
   95
   102
   100
   110
   Option C
   x/20 =60; x = 1200
   x/21 = 62; x = 1302
   1302 – 1200 = 102 kg
   
   
    



7. The average income of A, B and C is Rs. 12,000 per month and average income of B, C and D is Rs. 15,000 per month. If the average salary of D be twice that of A, then the average salary of B and C is in Rs.?
   14,200
   12,000
   13,500
   11,500
   10,500
   Option C
   A + B + C = 12000*3
   B + C + D = 15000*3
   D – A = 3000*3 = 9000
   D = 2A
   D = 18000 and A = 9000
   Average salary of B and C,
   = (45000-18000)/2 = 13,500
   
   
    



8. The average age of a family of 9 members is 22 years. Arun is the youngest and his age is 6 years, then what was the average age of the family just before Arun was born?
   15
   20
   16
   18
   14
   Option D
   Average Age = (9*22 – 9*6)/8 = 18
   
    



9. The average of four numbers is 24.5. of the four numbers, the first is 1.5 times the second, the second is 1/3 rd of the third, and the third is 2 times the fourth number. Then what is smallest of all those numbers?
   10
   16
   19
   14
   20
   Option D
   First = 1.5x Second = x Third = 3x Fourth = 1.5x
   average = 24.5 = (1.5x+x+3x+1.5x)/4
   x = 14
   
   
    



10. From a pack of 52 cards, 2 cards are drawn at random. What is the probability that either both are red or both are kings?
    53/223
    53/220
    55/221
    52/221
    55/219
    Option C
    Required Probability = 26C2/52C2 + 4C2/52C2 - 2C2/52C2 = 55/221