Aptitude Questions - 4 (for Bank Exams)

Aptitude Questions – 4 (For Bank Exams)

1.                   Find the reminder when 333666777888999 divided by 3 or 9 or 11?

Ans: Reminder 5 when divided by 11.  

Rule of divisibility for 3 and 9 – I f the sum of the digits divisible by 3 or 9 then the whole number is divisible by 3 and 9.

Rule of divisibility for 11 --- If the difference between the sum of the odd placed numbers and even placed numbers is either zero or divisible by 11 then the whole number is divisible by 11.

In this case the difference is 5 and that’s the reminder.

2.                   Which is the biggest perfect square amongst the following

(a) 15129,    (b) 12348,            (c) 23716,             (d) 20736

Ans: (c)

3.                   The greatest area of the following:

(a) The radius of circle is 4

(b) The square of diagonal is 4

(c) The square of side is 4

Ans: (a)

4.                   The area of the maximum size of the circle inscribed within a 10 inch square?

Ans: 78.57 sq. inch  ( The radius of the circle will be half the side of the square)

5.                    A gold density is 19 times greater than the water and for copper it is 9 times. At

what ratio you can mix gold and copper to get 15 times denser than water?

                       Ans: 3 : 2

                       Using the rule of alligation we have for Gold 15 – 9 = 6 parts and for Copper

                       19 – 15 = 4 parts. Thus the ratio is 3 : 2

6.                   Find the value of (1.99)2

Ans: 3.9601

7.                   There is a room with 6' x 8'. A one foot tile is fixed along the 4 walls in one row. How

many more one foot tiles are required  to finish the work.

Ans. 24 Tiles

Since all along the wall one foot tile is already fixed, the dimension of the room now is reduced to  -> 4 * 6 = 24 sq.ft.

8.                   Two persons can finish a job in 8 days. First person alone can finish the work in 24

days. How many days does the second person take to finish the job?

Ans: 12 days

Let the two persons be A and B.

A in one day does 1/24 job and B in one day 1/B job.

They both together finish the job in 8 days.

Hence the job done together in one day is 1/8. Thus we have an equation

1/24 + 1/B = 1/8 -> 1/B = 1/8 – 1/24 = 1/12.

1/B = 1/12. B will alone finish the job in 12 days.

9.                   A person's salary is getting reduced by 20%. What percentage should be added to

get back his original salary?

Ans: 25%

Use the formula ----  100R/100-R (where R is the percentage of reduction)

10.               Two persons start from the same point and walk in opposite directions with 5km/hr and

       5.5km/hr speed respectively. What is the distance separating them after 2 and half hrs?

       Ans: 26.25 km

       Relative speed between the two is ---- 5 + 5.50 = 10.50 km/hr. (They walk in opp.

                     direction.

      Thus the distance between them after 2.30 hours will be 10.50 * 2.30hrs = 26.25 km.    

11.               A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he covers with a speed 4km/hr. Total time of travel is 9 hours. What is the maximum distance he can cover?

Ans: 40.50 km.

Average speed is ---(5 + 4)/2 = 4.50 km. ( Note: He covers the total distance in two equal half)

Distance/ Speed is = Time.  Let X be the distance.

Thus ------  x/4.5 = 9 hrs. solving we get … X = 40.50km

12.               Initially two cups of same volume are present with milk filled upto 3/5th and 4/5th

of their volumes. Water is then filled. Then two mixtures are mixed. Find the ratio of water to milk in the mixture.

Ans: 3 : 7

A simple question. Let the volume of the two cups be 5 each. Then total volume is 10. The total volume of Milk in these two cups initially is 3 + 4 = 7parts. The remaining is 3 parts now filled with water.

Thus the ratio of water and milk is ------- 3 : 7.

13.               16 grams of radioactive material decays into 8 grams in 10 years. How long will it

take to decay to 1 gram?

Ans: 70 years.

16 gm reduced to 8gm in 10yrs. So 8 gm get decayed.
For decaying 1 gm it takes 10/8 years. For decaying 8 gm it takes 10/8*8
Remaining 8 gm need to decay 7 to get 1 gm remaining.
For decaying 7 gm it will take
10/8*8*7 = 10*7 = 70 years
 

14.               In a rectangle the length is increased by of the original length. By what proportion

should the width be reduced so that the area will be the same?

Ans: 50%

Assume the original Length and Breadth as 5 and 4. The area is 5 * 4 = 20.

The new length is 5 + 5 = 10. To retain the same area the breadth should be 2.

Breadth reduced from 4 to 2 or 50%.

15.               A person’s salary is decreased by steps of 20%, 15% and 10%. What will be the percentage decrease, if the salary is decreased in a single shot?

Ans: 38.8%

Successive percentage change is given by the formula ->  x + y + xy/100 where x and y are the two successive percentages.

Applying this after the second decrease, the percentage change is ->  -20 - 15 + 300/10 =  -32%

After the third decrease the change will be:

-32 – 10 + 320/100 = - 38.8%