Honeywell latest Placement Question papers

Quantitative aptitude

 

1. Jojo weighs twice as much as Manju. Milbi's weight is 60% of Binoy's weight. Don weighs 50% of linson's weight. Linson weighs 190% of Jojo's weight. Which of these 5 persons weighs the least?

Ans-Milbi

 

2. The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Ans-50 degree

 

3. In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m?

Ans-77.5 seconds

 

4. Solve the inequality 33x-2 > 1

 

5. In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?

Ans-41

 

6. Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

Ans-10

 

7. If a sum of money grows to 144/121 times when invested for two years in a scheme where interest is compounded annually, how long will the same sum of money take to treble if invested at the same rate of interest in a scheme where interest is computed using simple interest method?

Ans-22 years

 

8. Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in these two bonds?

Ans-Rs2750

 

9. 60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 kms using 1200 cc engine?

Ans-120 litres

 

10. A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn Rs.2340, what ill be C’s share of the earnings?

Ans-Rs520

 

11. The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?

Ans-47.32

 

12. 'a' and 'b' are the lengths of the base and height of a right angled triangle whose hypotenuse is 'h'. If the values of 'a' and 'b' are positive integers, which of the following cannot be a value of the square of the hypotenuse?

Ans-23

 

13. What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '5'?

Ans-415

 

14. An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

Ans-5*((2/3)^4)*(1/3)

 

15. A piece of equipment cost a certain factory Rs. 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

(1) 2,00,000

(2) 1,05,000

(3) 4,05,000

(4) 6,50,000

 

16. Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

Ans-5

 

17. Sudhil can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Sudhil is helped by Ram and Singhal every 3rd day, how long will it take for them to complete the job?

Ans-15 days

 

18. A father can do a certain job in x hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the father take to do the job?

Ans-9 hours

 

19. A merchant marks his goods up by 60% and then offers a discount on the marked price. If the final selling price after the discount results in the merchant making no profit or loss, what was the percentage discount offered by the merchant?

Ans-37.5 % discount

 

20. A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?

Ans-404.80

 

21. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

Ans-1260

 

22. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?

Ans-32

 

23. There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

Ans-15624

 

24. A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?

Ans-Rs 210 and Rs 6

 

25. There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?

 

26. The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?

Ans-Rs 420

 

27. The average temperature on Wednesday, Thursday and Friday was 250. The average temperature on Thursday, Friday and Saturday was 240. If the temperature on Saturday was 270, what was the temperature on Wednesday?

Ans-300

 

28. The average weight of a class of 24 students is 36 years. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?

Ans-61 kg

 

29. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

Ans-240 meters

 

30. I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

Ans-3 hours

Infosys Aptitude Tests

Below are three numeric puzzles dealing with some basic arithmetic calculations.

Question 1

Find X's age which equals the number of grand children of a man who has 4 sons and 4 daughters. Each daughter of the man's wife have 3 sons and 4 daughters and each son of the man's wife have 4 sons and 3 daughters.

a) 40
b) 56
c) 64
d) none of these

Answer : b) 56

Solution :

We have to find the number of grand children of the man.
Given that, he had 4 sons and 4 daughters.
Each son has 4 sons and 3 daughters and each daughter has 3 sons and 4 daughters.
Therefore total number of grandsons = 4x4 + 4x3 = 16 + 12 = 28
And total number of grand daughters = 4x3 + 4x4 = 28
Total number of grandchildren is 28+28 = 56.
Hence the required age is 56.

Question 2

A man have many daughters, each daughter have as many sons as her sisters. The product of the number of daughters and grandsons of the man lies between 40 and 50. Find the number of daughters of the man.

a) 6
b) 4
c) 3
d) 8

Answer : b) 4

Solution:

Let N be the number of daughters of the man.
Then each daughter has N-1 sisters.
Given that, each daughter has as many sons as her sisters.
That is, each of them has N-1 sons.

Number of grandsons of the man = N(N-1)
And the required product = N(N-1) x N = N x N(N-1) which lies between 40 and 50.
If N = 1 then N x N(N-1) = 0.
f N = 2 then N x N(N-1) = 2 x 2(1) = 4
If N = 3 then N x N(N-1) = 3 x 3 x 2 = 18
If N = 4 then N x N(N-1) = 4 x 4 x 3 = 48
If N = 5 then N x N(N-1) = 5 x 5 x 4 = 100
Therefore the possible value of N is 4.
Hence the man has 4 daughters.

Question 3

Two men A and B have equal number of daughters and A have 1 more son than B. Each son and daughter of A have 2 sons and 2 daughters and each son and daughter of B have 3 sons and 3 daughters. If A and B have equal number of grandchildren then find the number of sons of B.

a) 3
b) 4
c) 5
d) none of these.

Answer : d) none of these

Solution :

Let D be the number of daughters of A and B.
Let S be the number of sons of A.
Then S-1 be the number of sons of B.

Now, number of grandsons of A = 2S + 2D.
Number of granddaughters of A = 2S + 2D
Number of grand children of A = 2S + 2D + 2S + 2D = 4S + 4D.

Number of grandsons of B = 3(S-1) + 3D = 3S + 3D - 3
Number of granddaughters of B = 3(S-1) + 3D = 3S + 3D - 3
Number of grand children of A = 3S + 3D - 3 + 3S + 3D - 3 = 6S + 6D - 6

And, 4S + 4D = 6S + 6D - 6
2S + 2D = 6
S + D = 3

Then the possibilities of (S,D) are (1,2), (2,1), (0,3), (3,0)
We have to find the value of S-1.
S-1 cannot be a negative number, so (0,3) is not possible.

Therefore, possible S-1 values are 0,1,2.
Hence the answer is option d.

Accenture Sample Problems Based On Random Events

Below are three problems which are based on the probability of random events (with similar concepts).

Question 1

There are two bags labeled I and II containing roses - 19 white and 30 yellow. If you are allowed to move the flowers between the bags, what will be the maximum probability of getting a white rose from a bag chosen at random?
a)11/16
b)16/21
c)15/18
d)13/16

Answer : a)11/16

Solution:

Part 1 : Let us arrange roses such that the probability of picking a white rose will be maximized
For such problems you can follow a general rule to arrange items:
Consider there are two bags bag A and bag B. Lets say bag A contains P number of a item1 and bag B contains Q number of item1.
Arrangement to maximize the probability of choosing item1 : Put 1 number of item1 in one bag and move remaining (P - 1) item2 to other bag.
Arrangement to minimize the probability of choosing item1 : Put 1 number of item2 in one bag and move remaining (Q - 1) item2 to other bag.
In our case, we have to find arrangement to maximize the probability of choosing a white flower
Therefore, we have to keep 1 white flower in 1 bag(say bag 1) and move remaining 18 white flowers to another bag(say bag 2).

Part 2 : Based on arrangement we made (refer part 1), find the probability of choosing a white flower
In the above scenario, Probability to choose a white flower = Probability of choosing bag I x Probability of choosing white flower from bag I + Probability of choosing bag II x Probability of choosing white flower from bag II ...(1)
Since there are only two bags, the probability of choosing bag I = probability of choosing bag II = 1/2
Probability of choosing white flower from bag I = number of white flowers in bag I / total number of flowers in bag I = 1/1 = 1
Probability of choosing white flower from bag II = number of white flowers in bag II / total number of flowers in bag II = 18/(18+30) = 18/48 = 6/16
Substituting the above values in eq 1, we get.

Probability to choose a white flower = 1/2 x 1 + 1/2 x 6/16 = 11/16

Question 2

Meera is testing Sona's proficiency in probability and poses the following question:" There are two boxes containing 25 pens and 33 pencils of same size. You can move the pencils between the boxes so that when you choose a box at random and a pencil at random from the chosen box the probability of getting a pencil minimized. Then that minimum probability is:" Can you help Sona to find the answer?

a)11/38
b)21/19
c)21/13
d)13/11

Answer : a)11/38

Solution:
This is very similar to first problem except that the condition is reversed. Here we have to find an arrangement such that probability of choosing a pencil at random is minimized. That arrangement would be to put 1 pen in 1st box and 24 pens with 33 pencils in 2nd box.
In above arrangement, probability of choosing a pencil = Probability of choosing box1 x Probability of choosing a pencil from box1 + Probability of choosing box2 x Probability of choosing a pencil from box2
= 1/2 x number of pencils in box1 / total number of items in box1 + 1/2 x number of pencils in box2 / total number of items in box2
= 1/2 x 0/1 + 1/2 x [33/(33+24)] = 0 + 11/38 = 11/38

Hence the answer is 11/38.

Question 3

A fruit seller has 32 oranges and 14 apples in two bags separately and he is allowed to move the oranges and apples between the bags. Now find the Ratio of the maximum probability of picking a bag and an apple from the chosen bag at random to the minimum probability of picking a bag and an orange from the chosen bag at random.
a)25:28
b)18:15
c)29:16
d)25:18

Answer : c)29:16

Solution :

Part :1 To find the maximum probability of picking a bag randomly and an apple from the chosen bag
(As discussed above problem 1)
To maximize the probability of apple, put 1 apple in one bag and move 13 apples to the bag of orange.
Then the required probability 1/2 + [1/2 x 13/45 ] = 1/2 x (1+13/45) = 1/2 x (58/45) = 29/45.

Part :2 To find the minimum probability when picks an orange at random from a chosen bag
(As discussed in problem2)
To minimize the probability of orange, put 1 apple in one bag and 13 apples with 32 orange in second bag.
Then the minimum probability of getting orange = 0 x 1/2 + 1/2 x 32/45 = 16/45

Part : 3 To find the required ratio
Required ratio = maximum probability / minimum probability = (29/45) / (16/45) = 29 / 16

Hence the answer is 29:16.