Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?

1. 30%
2. 125%
3. 25%
4. 20%
5. 16.66%

2.The cost of 11 pencils is equal to the selling price of 10 pencils. Find the loss or profit percent, whatever may be the cost of 1 pencil. 
A.40%
B.10%
C.25%
D.15%
E.25% 


3.A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A.     20 hours   
B.     25 hours
C.     35 hours   
D.     Cannot be determined
E.     None of these


4.What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

1. 6
2. 4
3. 24.5
4. 20.5
5. 12.5

5.The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
A.     276   
B.     299
C.     322   
D.     345
E.      364

 Answer

 1.[d]

The easiest way to solve these kinds of problems is to assume a cost price for the merchant.

To make calculations easy, let us assume that the cost price = $100

The merchant marks his goods up by 50%.

Therefore, his quoted price = cost price + mark up

= $100 + 50% of $100 = 100 + 50 = $150

Now, the merchant offers a discount of 20% on his quoted price

Therefore, amount of discount = 20% of $150 = 20% of 150 = $30

Therefore, he finally sells it for $150 - $30 = $ 120.

We assumed his cost to be $ 100 and he sold it finally for $ 120.

Therefore, his net profit = $ 20 on his cost of $ 100

Hence, his % profit = = 20%.


2.[B] The cost price of 11 pencils = S.P of 10 pencils
Let C.P of 1 pencil is $1 .
C.P of 10 pencils = $ 10
S.P of 10 pencils = C.P of 11 pencils = $ 11
Profit on 10 pencils = 11 – 10 = $1
Profit % = ( 1/ 10) x 100 = 10 %

3.[C]Suppose pipe A alone takes x hours to fill the tank.

Then, pipes B and C will take     x     and     x     hours respectively to fill the tank
                                                  2               4

 1+2+4        =           1
      X                        5
7/X      = 1/5
=> X = 35
 4.[D]From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangled. 9-40-41 is a Pythagorean triplet.

In a right angled triangle, the radius of the circle that circumscribes the triangle is half the hypotenuse.

In the given triangle, the hypotenuse = 41.

Therefore, the radius of the circle that circumscribes the triangle = 41/2= 20.5 units.
 5.[C]
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.