important aptitude questions

Welcome to your important aptitude questions

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1. 

How many words of 11 letters could be formed with all the vowels present only in the even places, and the consonants only in the odd places, using letters of the english alphabet? Each letter may appear only once . the vowels are A,E,I,O,U and the consonants are the remaining letters of the alphabet. In the answer ,n! Donotes n factorial (or 1*2*…*n)

2. 

Jake can dig a well in 16 days paul can dig the same well in 24 days. Jake ,paul and hari together dig the well in 8 days. Hari alone in dig the well in

3. 

The difference between the ages of two of my three grandchildren Is 3. My elder grandchild is three times older than the age of my youngest grandchild and my eldest grandchild’s age Is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?

4. 

Given that 1 < a< b< c< d, Which of the following is largest ?
In this question , x^y stands for x raised to the power of y. For example , 2^3=8 and 4^1.5=8
exp(x) is e (approx 2.7183) raised to the power x. Thus exp(2.303) is approximately 10.

5. 

The average temperature of may, July and august was 31 degrees. The average temperature of July, august and October was 30 degrees, if the temperature of May was 30 degrees , find the temperature October (in degrees)

6. 

A and B completed a work together in 5 days. Had A worked at twice his own speed and B half his own speed, it would have taken them 4 days to complete the job. How much time would it take for A alone to do the job?

7. 

A child was looking for his father. He went 90 metres in the East before turning to his right. He went 20 metres before turning to his right again to look for his father at his uncle’s place 30 metres from this point. His father was not there. From here he went 100 metres to the North before meeting his father in a street. How far did the son meet his father from the starting point?

8. 

A road network covers some cities.city c can be reached only from city a or city b.the distance from a to c is 65 kms and that from B to C is 30 kms. The shortest distance from a to b is 58 kms. The shortest distance from city P to A is 420 kms and the shortest distance from city P to B is 345 kms. The shortest distance from city P to city C in kms is:

9. 

Your friend places 1oo cards in a row, one at which contains the Jack of the club that you need to guess. You pick the card at position 15. The host removes all the cards except the card chosen by you at position 15 and another card at position 87. He now says. One of these two cards is the Jack of Clubs. What Is the probability that the card Is at position 87?

10. 

In a test with 26 questions, five points were deducted for each wrong answer and eight points were added for every correct answer. How many were answered correctly if the score was zero?

11. 

A pizza restaurant has a tradition of creating specialty pizzas all of the same thickness, and in the shape of the perfect circle it also divides them up into exactly equal slices even if the number of slices per pizza is sometimes unusual. It sells small medium ,large and extra large pizzas. The diameter are 8,11,13 and 15 inches respectively they are each divided into 4,9,12, and 13 slices respectively. Which pizza has the largest slice?

12. 

Eesha’s father was 34 years of age when she was born.her younger brother, Shashank, now that he is 13,is very proud of the fact that he is as tell as her, even though he is three years younger than her. Eesha’s mother , who is shorter than Eesha,was only 29 when Shashank was born .what is the sum of the ages of Eesha’s parents now?

13. 

Fishing is a serious environmental issue.It has been determined by the scientists that if the net of a trawler has mesh size x cm by x (square mesh) then the percentage of fish entering the net that are caught in the net is (100-0.02x^2-0.05x.for example if the mesh size is zero 100% of the fish that enter the net will be caught. The trawler with net with a square mesh that was suspected of using an illegal size net dropped its net to the ocean floor near the damand and coast guard officials arrested the crew.the scientists later looked at the size of the fish caught and estimated that the net used by the trawler at least 97.93% of the fish entering the net would be caught. What is the maximum value of x for the net by the trawler?

14. 

Let N be the greatest number that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively. What is the remainder if N is divided by 7?

15. 

In a group of 5 families, every family has a certain number of children, such that the number of children forms an arithmetic progression with a common difference of one, starting with two children in the first family. Despite the objection of their parents every child in a family has three times as many pets to look after as the number of offspring in the family. What is the total number of pets in the entire group of five families.

16. 

How many number plates can be made if the number plates have two letters of the English alphabet (A-Z) followed by two digits (0-9) if the repetition of digits or alphabets is not allowed?

17. 

There Is a circular bookshelf under a stair in a Govt library. The wall is 0 ft. height the distance of the base of the stairs from the comer of the room is 8ft. What is the radius of the circular bookshelf in feet?

18. 

A store is selling a jacket on sale at 30% off the marked price. A matching pair of pants is on sale at 40% off the marked price. If the marked price of the pants is Rs. 8500 less than the marked price of the jacket and the total sale price of both items is Rs. 23500, then what is the marked price of the jacket?

19. 

Initially, when Sona and Tina left for a shopping expedition , Sona had three times the money than Tina had. They bought things amounting to Rs. 480 altogether, out of which Tina’s share was 65%. At the end of shopping, Sona was left with 4 times the amount that Tina had. What was the amount with Tina at the beginning?

20. 

A certain number of teams took part in a competition each team in the competition must play one game with each of the other teams, how many teams took part in the competition if they played 55 games in all?

21. 

A certain sum of money is sufficient to pay either George’s wages for 15 days or mark’s wages for 10 days, for how long will it suffice it both George and mark work together?

22. 

Rs. 3000 is distributed among A, B and C such that A gets 2/3rd of what B and C together get and C gets ½ of what A and B together get. Find C’s share.

23. 

The 260th term of the series a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f,….is:

24. 

Raj divided 50 in to two parts such that the sum of their reciprocal is 1/12 we get the parts as

25. 

George can do some work in 8 hours. Paul can do the same work in 10 hours while Hari can do the same work in 12 hours. All the three of them start working at 9 AM. while George stops work at 11 am,the remaining two complete the work,approximately when will the work be finished?