Mixed Quantitative Aptitude Questions Set 43

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

1. Three pipes A, B and C can fill a cistern in 6 hours . After working together for 2 hours, C is closed and A and B fills it in 7 hours more .Find the time taken by C alone to fill the cistern.
   A) 10 hours
   B) 17 hours
   C) 14 hours
   D) 8 hours
   E) 11 hours
   
   View Answer

     Option C
   Solution:
   A + B + C = 6 hours =  (1/6)* 2 (for 2 days ) = (1/3) work
   Remaining = 1 – (1/3) = (2/3) work
   A + B  = (2/3) work —– 7 hours
   A + B = 7*(3/2) = (21/2) hour
   Remaining time taken by C alone = (1/6) – (2/21) = 42/3 = 14 hours
   
2. Rs.12600 is invested in 3 parts in such a way that the S.I. on first part at 2% p.a. for 3 years is equal to S.I. on second part at 3% p.a. for 4 years is equal to S.I. on third part at the rate of 4% p.a. for 5 years are equal . Find the S.I. on second part.
   A) 3200
   B) 4890
   C)4000
   D) 3550
   E) 3500,
   
   View Answer

     Option  E
   Solution:
   A/ B = 6/3  and  B/C = 6/10
   A:B:C = 10:5:3
   For A = (12600/18)*10 = 7000
   For B = (12600/18)*5 = 3500
   For C = (12600/18)*3 = 2100
   
3. The population of  a town is 5000. Suppose the number of males increase by 5% and the females by 10%,then the population becomes 6000. Find the number of males in the town.
   A) 2000
   B) 1200
   C) 9000
   D) 7000
   E) 3000
   
   View Answer

     Option A
   Solution:
   Average % increase = (1000/5000)*100 = 20%
   Male  —————- Female
   5%———————-10%
   ————–20%
   10%——————–15%
   Therefore , Male : Female = 2:3
   Population of males = (5000/5)*2 = 2000
4. A reduction of 10% in the price of sugar enables a person to obtain 15 kg more for Rs. 300. What is the reduction price per kg? Find also the original price per kg.
   A) Rs.(7/5)
   B) Rs.(6/4)
   C) Rs. (15/7)
   D) Rs. (20/9)
   E) Rs.(17/5)
   
   View Answer

     Option D
   Solution:
   The fall in price , there is a saving of 10% on Rs. 300 i.e. Rs.30
   For Rs.30 ——– 15 kg of sugar
   Reduced price per kg = Rs.30 / 15 = Rs.2
   Original Price = 2 *(100/100-10) = Rs. (20/9)
   
5. The profit % of A and B are same on selling an articles at Rs. 2400 each but A calculates his profit on the S.P. while B on its C.P. this profit is equal to 23% each. What is the difference between their profits ?
   A) 80
   B) 103
   C) 112
   D) 133
   E) 145
   
   View Answer

     Option B
   Solution:
   SP1 = (123/100)*CP1
   => 2400 = (123/100)*CP1
   => CP1 = 1951
   CP2 = (123/100)*SP2 = 2952
   CP1 + CP2 = 4903
   Total SP =4800, Profit = 103
   
6. After covering a distance  of 30km with a uniform speed there is some defect in a train engine and therefore , its speed is reduced to (4/5) of its original speed . Consequently, the train reaches its destination late by 45 mins. Had it happened after covering 18 km more, the train would have reached 9 minutes earlier. Find the speed of the train.
   A) 45km/hr.
   B) 35km/hr.
   C) 30km/hr.
   D) 50km/hr.
   E) 58km/hr.
   
   View Answer

     Option C
   Solution:
   Diff. of speed = 18 km
   18/(4/5)S -18/S = 9/60
   => S = 30km/hr.
   
7. A train running at a speed of 25km/hr takes 18 sec  to pass a railway platform and it takes 13.5 sec to pass a man who is running at a speed of 5 km/hr in the same direction. Find the length of the train and length of the platform.
   A) 30km
   B)50km
   C) 33km
   D)45km
   E) 40km
   
   View Answer

     Option B
   Solution:
   Dist. =  length + platform’s length `
   => 75 + length = 18*(25/18)*5
   => length = 50 km
   
8. A is thrice as efficient as B. A started the work and work for 6 days tehn it is replaced by B . B then worked for 9 days and they together complete 50% of the work then B alone can do the whole work in how many days.
   A) 48 days
   B) 52 days
   C) 60 days
   D) 65 days
   E) 54 days
   
   View Answer

     Option E
   Solution:
   A : B = 3 : 1
   A : B = 6 : 9 = 6*3 : 9*1 = 27 unit
   50% = 27
   100% = 54
   Therefore, B alone take = 54/1 = 54 days
   
   
9. A , B and C can complete a piece of work in 10, 12 and and 15 days resp. A left the work 5 days before the completion of the work B left two days after A had left . Find the number of days required to complete the work.
   A) 10 days
   B) 7 days
   C) 12 days
   D) 18 days
   E) 15 days
   
   View Answer

     Option B
   Solution:
   10,12,15==== 60 ==== 6x , 5x ,4x
   (x-5)/10 + (x-3)/12 + x/15 = 1
   => x = 7 days
   
10. The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years. What was the average age of family at the birth of the youngest members?
    A) 14 years
    B) 20 years
    C) 15 years
    D) 18 years
    E) 11 years
    
    View Answer

      Option D
    Solution:
    6 * 22 = 132 , 6 * 7 = 42
    132 – 42 = 90/5 = 18 years
    

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