Quantitative Aptitude Answer With Explanation For Bank Exam

1.What number should be added to or subtracted from each term of the ratio 17:24 so that it becomes equal to 1:2?
[1]5 is subtracted
[2]10 is added
[3]7 is added
[4]10 is subtracted

2.Find the average of all numbers between 6 and 34 which are divisible by 5
 [1]   15
 [2]   20
 [3]   25
 [4]   30

3.The ratio of weekly incomes of A and B is  9:7 and the ratio of their expenditures is 4:3. If each saves Rs.200/- per week, then the sum of their weekly incomes is:
[1]Rs.3200/-
[2]Rs.4,200/-
[3]Rs.4,800/-
[4]Rs.56,00/-

4.Aman is noticed by a Sumen from a distance of 200 m. The Amen starts running and the Sumen chases him. The Amen and the Sumen at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
[1] 100 m
[2] 150 m
[3] 190 m
[4] 200 m 

5.If 30% of A is added to 40% of B, the answer is 80% of B.What percentage of A is B?
[1] 30%
[2]40%
[3]70%
[4]75%




Answer
1.[4]Let the number x be subtracted then,
17 - x = 1
 24- x    2
=>34 - 2x = 24 - x  => x = 10

2[2].Average = (10+15+20+25+30)=100=20 
                          5                          5

3.[1]et the weekly income of Aand B respective be Rs.9x and Rs.7x and their expenditure be Rs.4y and Rs.3y
According to question
9x - 4y = Rs.200/------(1)
7x - 3y = Rs.200/------(2)
By solving of eq.(1) and (2)
x = Rs.200/-     u = Rs.400/-
So,sum of their weekly incomes = 9x +7x = 16x
= 16* 200 = Rs.3,200

4.[1]Relative speed of the Amen and Sumen  =  (11 – 10) km/hr = 1 km/hr

Distance covered in 6 minutes  = {(1/60 * 6)} km   = {1/10} km = 100 m

Distance between the Amen and Sumen = (200 – 100) m = 100 m. 

5.[4] A * 30 + B * 40 = B * 80
             100       100         100
      => A * 30 = B * 80 - B * 40
               100          100       100

     =>A * 30 = B * 40       
              100        100
    =>3A = 4B
Required percent = 3/4 * 100 = 75%