IBPS PO 2017 Practice Test – Quant Day 10

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Q(1-5) Study the Pie Charts and answer the following information.

1. What is the average no of boys in School A, B, and C?
   A. 23140
   B. 23440
   C. 23580
   D. 23700
   E. 24130
   
   Answer & Explanation

   E. 24130
   Solution:
   Total no of students:
   A = 25300*19/100 = 48070
   B = 25300*22/100 = 55660
   C = 25300* 18/100 = 45540
   D = 25300*21/100 = 53130
   E = 25300*20/100 = 50600
   No of Girls:
   A = 124000*21/100 = 26040
   B = 124000*22/100 = 27280
   C = 124000*19/100 = 23560
   D= 124000*21/100 = 26040
   E = 124000*17/100 = 21080
   No of Boys: Total Students – Girls
   48070-26040 = 22030
   55660-27280 = 28380
   45540- 23560 = 21980
   53130- 26040 = 27090
   50600- 21080 = 29520
   Average = (22030+28380+21980)/3 = 24130
   
   
2. Which School accounts for the highest no of Boys?
   A. School A
   B. School B
   C. School C
   D. School D
   E. School E
   
   Answer & Explanation

   E. School E
   Solution:
   No of Boys: Total Students – Girls
   48070-26040 = 22030
   55660-27280 = 28380
   45540- 23560 = 21980
   53130- 26040 = 27090
   50600- 21080 = 29520
   
   
3. What is the average no of Boys in all schools together?
   A. 24600
   B. 24800
   C. 25300
   D. 25800
   E. None
   
   Answer & Explanation

   D. 25800
   Solution:
   No of boys 253000-124000 = 129000. Average = 129000/5 = 25800
   
   
4. What is the average of Boys from A,C,D and E together?
   A. 23125
   B. 24655
   C. 25155
   D. 26155
   E. None
   
   Answer & Explanation

   C. 25155
   Solution:
   Total Boys = 129000
   Boys in B = 28380
   Then Total Boys in B,C,D,E is 129000-22030 = 100620
   Average = 100620/4 = 25155
   
   
5. Difference between no of Boys and Girls in which school is Maximum?
   A. School A
   B. School B
   C. School C
   D. School D
   E. School E
   
   Answer & Explanation

   E. School E
   Solution:
   Total no of students:
   A = 25300*19/100 = 48070
   B = 25300*22/100 = 55660
   C = 25300* 18/100 = 45540
   D = 25300*21/100 = 53130
   E = 25300*20/100 = 50600
   No of Girls:
   A = 124000*21/100 = 26040
   B = 124000*22/100 = 27280
   C = 124000*19/100 = 23560
   D= 124000*21/100 = 26040
   E = 124000*17/100 = 21080
   No of Boys: Total Students – Girls
   A:48070-26040 = 22030
   B:55660-27280 = 28380
   C: 45540- 23560 = 21980
   D:53130- 26040 = 27090
   E:50600- 21080 = 29520
   Difference:
   A: 26040 – 22030 =4010
   B: 28380-27280 = 1100
   C: 23560-21980 = 1580
   D: 27090 -26040 = 1050
   E: 29520 – 21080 = 8440
   
   
6. The cost painting a Square wall is directly proportional to its area. Painter charged Rs 10,000 of 10m x 10m. How many walls of 5m x 5m can be Painted for the same cost?
   A. 2
   B. 4
   C. 5
   D. 10
   E. None
   
   Answer & Explanation

   B. 4
   Solution:
   Cost α Area 2
   10,000 = K* 10 2
   K = 100
   Then 10000 = N*100*5*5
   N = 4
   
   
7. A can do a piece of work in 12 days. B can do a piece of work in 8 days. C takes 5/4 th time of which A and B together take. A Worked for 3 hours. B worked 2 Hours. Then C can complete the remaining work
   in how many days?
   A. 2 Days
   B. 3 Days
   C. 4 Days
   D. 6 Days
   E. None
   
   Answer & Explanation

   B. 3 Days
   Solution:
   A and B together work =1/ (1/12 +1/8) = 96/20
   C = 5/4*96/20 =6 days
   3/12 + 2/8+ x/6 = 1
   X =3 days
   
   
8. A and B are 300 Kms apart. Speed of B is 50% more than A. They travel in opposite direction, A started at 8:00AM and B started 9:00AM and they meet at 11:00 AM then speed of B would be?
   A. 50 Km/hr
   B. 75 km/hr
   C. 100 Km/hr
   D. 120 Km/hr
   E. None
   
   Answer & Explanation

   B. 75 km/hr
   Solution:
   300 = S*3 + S*150/100 *2
   S = 50
   Speed of B = 75
   
   
9. In How many ways Eight Rooks can be placed on a standard chess board without attacking each other?
   A. 10080
   B. 20160
   C. 40320
   D. 80640
   E. None
   
   Answer & Explanation

   C. 40320
   Solution:
   No of ways = (8!) 2 /8! = 40320
   
   
10. PIN of Ramesh Bank Locker is 5 digit number. Right most digit in that number is the first digit. Third digit is four times of 1 st digit. Sum of First and 2 nd digit is equal to 3 rd digit.5 th digit is greater than 2 nd digit and less than 3 rd digit. 5 th digit is two more than 4 th digit. Then Ramesh PIN would be?
    A. 53431
    B. 75431
    C. 75862
    D. 53862
    E. Cannot be determined
    
    Answer & Explanation

    C. 75862
    Soluition:
    Easy way verification process