Quantitative Aptitude Questions for IBPS/RRB Exam Set – 7

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1. The ratio of salary of A and B one year ago was 3:5 The ratio of their individual salaries of last year and present year are 2:3 and 4:5 respectively. If the total of their present  salary is 12900 find A present salary?
   A)1200
   B)2200
   C)1400
   D)5400
   
   Answer

   Answer – D) 5400
   Explanation : A new + b new=12900
   B new=5/4 bold
   B old=5/3A old
   A old=2/3A new
   A new(1+50/36)=12900
   A new= 12900*36/86=5400
   
   
   
2. In two mixture the ratio of gold and silver are 2:3 and 5:8 . If 10 kg of first and 26 kg of 2^nd mixture are mixed then find the ratio of  gold and silver in new mixture?
   A)11/7
   B)7/11
   C)7/5
   D)7/2
   
   Answer

   Answer – B) 7/11
   Explanation :
   (2/5*10+5/13*26 )
   ———————   =  7/11
   (3/5*10+8/13*26)
   
   
   
3. In a wildlife sanctuary cows are more than horse but less than wolves the no. of wolves are equal to hens. The no. of hens are 1/3 the number of deer and rabbit are the highest in number  what is the ratio of wolves and deer?
   A)1/6
   B)1/5
   C)1/4
   D)1/3
   
   Answer

   Answer – D) 1/3
   
   
   
4. A and B can do a piece of work in 6days B and C in 5 days   C and A in 10 days how long will they all work separately  ?
   A)15,15/2,15
   B)30,15,15/2
   C)30,15/2,15
   D)15/2, 15, 30
   
   Answer

   Answer – C) 30, 15/2, 15
   Explanation :
   lcm of 6,5,10 is 30
   A alone =   2/(1/6+1/10-1/5)=30days
   B alone=2/(1/5+1/6-1/10)=15/2days
   C alone=2/(1/5+1/10-1/6)=15days
   
   
   
5. In how many ways a person can select one or more of the given 7 cars from a showroom?
   A)126
   B)127
   C)128
   D)129
   
   Answer

   Answer – B) 127
   Explanation :2⁷-1=127
   
   
   
6. Two trains of 150m each first crosses each other in opposite direction in 10sec. and when they are in same direction  they took 20 sec to do so . Find  the speed of fast and slow train?
   A) 7.5m/s , 22.5m
   B) 5.7m/s , 22.5m
   C) 7.5m/s , 25.2m
   D) 7.2m/s , 22.2m
   
   Answer

   Answer – A) 7.5m/s , 22.5m/p
   Explanation :
   150{1/10-1/20}=7.5m/sec
   150{1/10+1/20}=22.5m/sec
   
   
   
7. A can cultivate 1/5^th of a ground  3 days and B can cultivate 1/3^rd of the same ground in 10 days . A  and B work together can cultivate 8/5^th of the field in?
   A)15
   B)10
   C)16
   D)12
   
   Answer

   Answer – C) 16 days
   Explanation :
   A’s one day work=1/5*1/3=1/15
   B’s=1/30
   A+B=1/10
   8/5^th can be done in (8/5)*10=16days
   
   
   
8. Two pipes A and B can fill a tank in 20 and 60 hr respectively. both  the pipes are opened to fill the tank but when the tank was 2/3^rd full a leak develop in the tank through which 1/4^th water supplied by both pipes goes out. Find the total time taken to fill the tank.
   A)14 (2/3)
   B)16(3/2)
   C)14(3/2)
   D)16(2/3)
   
   Answer

   Answer – D) 16 (2/3)
   Explanation :
   Time taken to full 2/3^rd= 2/3{20*60/20+60}= 10hr
   Time taken to fill 1/3^rd=5hr
   Now 1/4^th water drain out .
   {1-1/4}=3/4 water supplied by A and B
   Actual  time to fill the remaining 1/3^rd water=5*4/3=20/3hr
   Total time=10+20/3= 50/3=16 (2/3)
   
   
   
9. Ruby invested an amount of Rs. 5,800 for 2 years. At what rate of compound  interest will she get an amount of Rs. 6394.5 at the end of two years?
   A)2%pa
   B)3%pa
   C)4%pa
   D)5%pa
   
   Answer

   Answer – D) 5%pa
   
   
   
10. 20x² – x – 12 = 0
    20y² + 27y + 9 = 0
    A)x > y
    B)x ≥  y
    C)x < y
    D)x ≤  y
    E)x = y or no relation
    
    Answer

    Answer – E) x = y or no relation