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

     


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