Wipro previous placement questions - 5

Wipro previous placement questions - 5

1. A 10 Liter mixture of milk and water contains 30 percent water. Two liters of this mixture is taken away.  How many liters of water should now be added so that the amount of milk in the mixture is double that of water?

(a) 1.4 
(b) 0.8
(c) 0.4
(d) 0.7
Answer: c
Explanation:
Two liters were taken away So we have only 8 liters of mixture.  
Amount of milk in 8 liters of mixture = 8 × 70% = 5.6 liters
Amount of water in 8 lit of mix = 8 - 5.6 = 2.4 liters. 
Half of milk i.e half of 5.6 = 2.8 liters. 
We need (2.8 - 2.4) liters water more = 0.4 lit

2. A frog can climb up a well at 3 ft per min but due to slipperiness of the well, frog slips down 2 ft before it starts climbing the next minute. If the depth of the well is 57 ft, how much time will the frog take to reach the top?
Answer: 55 min
Explanation:
As per given, in 1 min,frog climbs up 3 ft and slips down by 2 ft.
So the frog climbs only 1 ft in 1 min
So after 54 mins,it would have climbed 54ft.
At the end of 55 mins it climbs up 3 ft to make it 57 ft and come out of the well.
Once it had reached the destination,it will not slip.
So the frog will take only 55 minutes to climb up the well.

3. A rectangle has twice the area of a square. The length of the rectangle is 14 cm greater than that side of the square whereas breadth is equal to side of the square. Find the perimeter of the square?
(a) 42 cm
(b) 14 cm 
(c) 56 cm 
(d) 28 cm
Answer: c
Explanation:
Let side of square be x.
Then for rectangle length = 14 + x   and breadth = x.
It is given
Area of rectangle = 2 × (area of square)
length × breadth = 2(x × x)
(x + 14) × x = 2 × x²
x² + 14x = 2x²
x² = 14x
x = 14.
Perimeter of square = 4 × x = 56

4. A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
(a) 5 hrs
(b) 4 hrs 
(c) 12 hrs 
(d) 6 hrs
Answer: d
Explanation:
He covered 5 km in 1 hour , so he might cover 20 km in 4 hours. 
But he took 10 hours. 
He would have saved 10 – 4 = 6 hours.

5.If half of 5 were 3, that would one-third of 10 be 
(a) 5 
(b) 4 
(c) 3 
(d) 2
Answer: b
Explanation:
Half of 5 is 2.5.  But given as 3. So take 1/2 of 5x = 3 ⇒ x = 6/5
Now 1/3 (10x) = 1/3 × 10 × 6/5 = 4.

6. A butler is promised Rs. 100 and a cloak as his wages for a year. After 7 months he leaves this service, and receives the cloak and Rs.20 as his due. How much is the cloak worth?
(a) 76 
(b) 84 
(c) 92 
(d) 68
Answer: c
Explanation:
Let be the price of cloak is = x
According to the Question he should get 7/12^th of 100 and 7/12^th of cloak. 
712(100)+712(x)=20+x${\displaystyle \frac{7}{12}}(100)+{\displaystyle \frac{7}{12}}(x)=20+x$
⇒ x = 92.

7. A worm is at the bottom of a forty foot hole. It can crawl upwards at the rate of four feet in one day, but at night, it slips back three feet. At this rate, how long will it take the worm to crawl out of the hole?
(a) 29 days 
(b) 37 days 
(c) 35 days 
(d) 39 days
Answer: c
Explanation:
For each day worm climb only 4 - 3 = 1feet.  
After 36 days worm reach the 36 foot. 
Exactly the 37th day worm reach 40 foot and won't slips back. 

8. Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10 percent. Mohan sold it to Sham at a loss of 10 percent while sham sold it to Gopi at a gain of 10 percent. The amount Gopi paid for it would be
Answer: 1782
Explanation:
Cost price = 2000
Selling price = 90% (2000) = 1800.
Mohan sold this to Sham at a loss of 10%. So selling price = 90% (1800) = 1620
Sham sold this at 10% profit. So selling price = 110% (1620) = 1782

9. On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
Answer: 14.82 km
Explanation:
Since 312 inch = 136 km
So 1 inch = 136/312 km
So 34 inch = (136 × 34)/ 312 = 14.82 km

10. Sixteen men complete a work in 24 days while 48 children can do it in 16 days. Twelve men started the work, after 14 days 12 children joined them. In how Many days will all of them together complete the remaining work?
Answer: 12 days
Explanation:
Let man capacity = 2 units/day.  Then total work = 16 × 2 × 24 = 768
Let the children capacity is k units/ days. So total work = 48 × k × 16
Equating above two equations we get k = 1.  So children capacity = 1 unit / day.
Twelve men did 14 days of job. So they completed 12 × 2 ×14 = 336.
Remaining work = 768 - 336 = 432.
Now 12 children joined them. So per day capacity of entire team = 12 × 2 + 12 × 1 = 36.
So they complete the remaining work in 432/36 = 12 days.

11. A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years, the ratio of their present ages is equal to:
a) 3:7 
b) 5:11 
c) 10:3 
d) 10:7
Answer: c
Explanation:
Let the Father's age = x, and Son's = y
x - 5 = 5(y – 5)
x + 2 = 3(y + 2)
Solving we get x/y = 10/3

12. At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party?
Answer: c
Explanation:
Let Original members be x
First One third guest departed i.e x/3
Remaining guests =  x – (x/3) = 2x/3
Now from the remaining (2x/3) two-fifths departed = 2/5(2x/3) = 4x/15
i.e. Now remaining guests will be (2x/3 – 4x/15) = 2x/5
Now from remaining (2x/5) two-thirds departed  = 2/3(2x/5) = 4x/15
Now remaining guests =  (2x/5 – 4x/15) = 2x/15
Given 2x/15 = 6 ⇒ x = 45

13. Ratio between 2 numbers is 5 : 7 and their product is 560.what is the difference between 2 numbers?
Answer: c
Explanation:
x/y = 5/7
x × y = 560 ⇒ x = 560/y
Substituting this value in first equation, we get 560/yy=57${\displaystyle \frac{560/y}{y}}={\displaystyle \frac{5}{7}}$ ⇒560y2=57${\displaystyle \frac{560}{y^2}}={\displaystyle \frac{5}{7}}$ ⇒ y = 28
x = 20
So difference between the numbers could be
x – y = –8
y – x = 8

14. A is 6 times as fast as B and takes 100 days less to complete a work than B. Find the total number of days taken by A and B to complete the work.
Answer:  120/7 days
Explanation:-
According to question A is 6 times as fast as B
So, Ratio of time taken by A and B will be 1 : 6
Let time taken by A is =  x
And time taken by B is = 6x
According to the question A take 100 days less
i.e. 6x – x = 100 
x = 20
So, A takes 20 days and B takes 120 days to complete the work.
A's 1 day work = 1/20
B's 1 day work = 1/120
(A + B)'s 1 day work = 1/20 + 1/120 = 7/120
Total time taken = 120/7 days.

15. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples
Answer: 15
Explanation:
2 O + 3 B + 4 A = 15 - - - - (1)
3 O + 2 B + 1 A = 10 - - - - (2)
Where A,B and O are number of apple, bananas, and oranges respectively.
Adding 1 and  2,
5 O + 5 B + 5 A = 25 ⇒ 1 O + 1 A + 1 B = 5 
now, 
3O + 3A + 3B = 5 × 3 = 15 

16. What is the next number of the following sequence
123, 444, 888, 1776, 8547, . . . . . . 
Answer: 16005
Explanation:
1) 123 + 321 = 444
2) 444 + 444 = 888
3) 888 + 888 = 1776
4) 1776 + 6771 = 8547
5) 8547 + 7458 = 16005

17. Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51. How many runs he made in the 51st innings
Answer: 101
Explanation:
Gavaskar average 50 in 50 innings so, total runs scored by him = 50 × 50 =  2500.
Now after 51st innings, his total runs = Average is, 51 × 51 = 2601.
So runs scored in 51st innings = 2601 – 2500 = 101 runs

18. There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that atleast two blue socks have been chosen?
Answer: 20
Explanation:
Number of red socks = 30 × 60% = 18
If you draw out 18 socks there's a possibility that all of them are red
If you draw out 19 socks one of them has to be a blue one
And if u draw 20 socks then definitely 2 of them are blue socks
So the answer is 20.

Accenture Previous questions - 4

Accenture Previous questions - 4

1. There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?

a. 4/9
b. 1/3
c. 5/4
d. 5/9
Answer : d
Explanation:
Bag A 6 red + 3 pink
Bag B 2 red + 7 pink
Probability of picking 1 pink from bag A is 3/9
Probability of picking 1 pink from bag B is 7/9
Total = 3/9 + 7/9 = 10/9
And probability of selecting a bag is 1/2
So finally probability of choosing a pink flower = 1/2(10/9) = 5/9

2. The sum of a number and its square is 1406. What is the number?
1) 38
2) 39
3) 37
4) 29
Answer: 3
Explanation:
By option Verification 37 + 37 × 37 = 1406

3. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A. 40
B. 400
C. 5040
D. 2520
Answer: C. 5040
Explanation:
The Word LOGARITHMS is contain 10 letters.
To find how many 4 letter word we can find from that = 10 × 9 × 8 × 7 = 5040.

4. At 6′o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock
Answer: 66
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 30/5 = 6 secs
At 12 o'clock, there are 11 intervals,
So total time for 11 intervals = 11 × 6 = 66 secs.

5. A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village
Answer: 20 km
Explanation:
Average speed = (2 ×a × b)/(a + b) here a = 25 b = 4
Average speed = 2 × 25 × 4/(25 + 4) = 200/29 kmph.
Distance covered in 5 hours 48 minutes = Speed × time
Distance = (200/29) × (29/5) = 40 kms
Distance covered in 5 hours 48 minutes = 40 kms
Distance of the post office from the village = (40/2) =20 km.

6. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.
Answer: 120
Explanation:
12 months  ==   Rs 200 + shirt --(1)
9 months    ==   Rs 120 + shirt --(2)
After subtracting equation (2) from (1) we get,(shirt is cancelled)
3 months = Rs 80
12 months = (80 × 12)/3= 320
Hence from equation (1) we get 320 = 200 + shirt
Therefore shirt = 120 Rs/-

7. In a class there are 45 pupil, out of them 12 are in debate only and 22 in singing only. Then how many in both?
Answer: 11
Explanation:Total pupil = 45
Debate + Singing = 12 + 22 = 34
The intersection for two = 45 – 12 – 22 = 11 play both games.

8. Silu and Meenu were walking on the road. 
Silu said, "I weigh 51 Kgs. How much do you weigh?"
Meenu replied that she wouldn't reveal her weight directly as she is overweight.
But she said, "I weigh 29 Kgs plus half of my weight."How much does Meenu weigh?
Answer: 58
Explanation:
It is given that Meenu weighs 29 Kgs plus half of her own weight.
It means that 29 Kgs is the other half. So she weighs 58 Kgs.
Solving mathematically, let's assume that her weight is A Kgs.
A = 29 + A/2
2 × A = 58 + A
A = 58 Kgs.

9.  What is the 56743 rd term in the series 1234567891011121314…….?
a) 1 
b) 3 
c) 7 
d) 5
Answer: C
Explanation:
1 to 9 = 9 no.s 1 digit each no.
9 to 99 = 90 no.s 2 digit each,Total digit = 90 × 2 = 180 terms
99 to 999 = 900 no.s 3 digit each,total digit = 900 × 3 = 2700
999 to 9999 = 9000 no.s 4 digit each,total digit = 9000 × 4 = 36,000
Till Now 999,we have = 9 + 180 + 2700 = 2889 digits
Upto 9999 we have = 2889 + 36000 = 38889 digits
56743 – 38889 = 17854
After 9999 each no. has 5 digit
So 17584/5= 3570 with remainder 4.
3570th no after 9999 =9999+3570=13569
Next term=13570.
4th digit =7 so answer=7

10.  A cycled from P to Q at 10 kmph and returned at the rate of 9 kmph. B cycled both ways at 12 kmph. In the whole journey B took 10 minutes less than A. Find the distance between P and Q.
Answer: 3.75 km
Explanation:
Let the distance between P and Q = d km
A - time = d/10 + d/9 = 19 d/90 hours
B - time = 2 d/12 = d/6 hours
10 minutes = 1/6 hours
Thus 19 d/90 – d/6 = 1/6
(19 d – 15 d)/90 = 1/6
4 d/90 = 1/6
thus d = 15/4 km = 3.75 km

11. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A. 18
B. 24
C. 42
D. 81
Answer:
Explanation:
Just go in reverse order.
Check the options with th subtracting 18 from each option for getting reverse number.
42 – 18 = 24 (which is in reverse).
So answer is 42.

Wipro previous placement questions - 4

Wipro previous placement questions - 4

1. 30 men take 20 days to complete a job working 9 hours a day. how many hour a day should 40 men work to complete the job?

a. 8 hrs

b. 7 1/2 hrs

c. 7 rs

d. 9 hrs

Answer: 6.75

Explanation:
Let the capacity of man in hour is 1 unit. Then total work = 30 × 20 × 9
40 men in 20 days working t hours a day can complete = 40 × 20 × t
⇒ 40 × 20 × t = 30 × 20 × 9
⇒ t = 6.75 hours. 

2. If radius of a circle is diminished by 10% then its area is diminished by

a) 10% 

b) 19% 

c) 20% 

d) 36%

Answer: b

Explanation:

Let old radius = 10 units. 

New radius is diminshed by 10%. So new radius = 90% (10) = 9 units. 

Old area = π × r² = 100π

New area = π × 9² = 81π

Change =  19π/100π ×100 = 19%

Alternatively:
For any two dimensional diagram the percentage change is calculated by the formula: (a+b+ab100)%$\left(a+b+{\displaystyle \frac{ab}{100}}\right)\mathrm{\%}$
Substitute a = -10, b = -10. 

3. The ratio between speed of the two trains is 7:8. If the 2nd train runs 400 km in 4 hrs, what is the speed of the 1st train?

a) 85 kmph

b) 87.5 kmph

c) 90 kmph

d) 92.5 kmph

Answer: b
Explanation:
Speed of 2nd train = 400/4 = 100 kmph

Since the ratios are in 7 : 8

Speed of First train = 7/8 × 100 = 87.5 kmph

4. A car travelling 5/7th of its actual speed covers 42 km in 1 hr 40 min 48 sec. what is the actual speed of the car?

a) 30 kph

b) 35 kph

c) 25 kph

d) 40 kph

Answer: b

Explanation: 

Let the Actual Speed = x

It is travelling with 5/7 of its actual speed = 5x/7. 
Converting the time into seconds = 3600 + 2400 + 48 seconds. 

Covers a distance with speed = 42/(3600 + 2400 + 48) 

= 424048${\displaystyle \frac{42}{4048}}$ × 3600 = 25 kph
Given 5x7${\displaystyle \frac{5x}{7}}$  = 25 kph

So Actual Speed = 25 × (7/5) = 35 kph

5. The ratio of the present ages of Sunita and Vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence? 

1) 15:19 

2) 13:15 

3) 16:19 

4) 17:19 

5) None of these

Answer: 3
Explanation:
Present age sunita : vinita = 4 : 5

Let their age is 4x and 5x respectively..

After 6 yrs their age ratio will be 14 : 17

Therefore 4x+65x+6=1417${\displaystyle \frac{4x+6}{5x+6}}={\displaystyle \frac{14}{17}}$

⇒ x = 9

Therefore their present ages are 36,45 respectively.

After 12 yrs their ages will be 48, 57 respectively.

⇒ Ratio after 12 years will be 48: 57 = 16: 19 = 16 : 19 

6. If the price of petrol increases by 25% and Kevin intends to spend only 15% more on petrol. By how much percent should he reduces the quantity of petrol that he buys?

Answer: 8%

Explanation:

Let Petrol Price 100 per Liter and Quantity he purchases equals to 100 Liters

Then total expenditure = 100 × 100 = 10000

Petrol Price is increased by 25%.  So new price = 125 per litre

And he increases the expenditure by 15%.  So expenditure limit = 11500

Now his quantity = 11500/125 = 92 liters

So the quantity is reduced by 8%

7. What is it answer?& it is a letter.

01100101 

10000011 

01110010 

01111001 

01110101.

Answer: 

Explanation:

It is ASHOK as 01100101 10000011 01110010 01111001 01110101

65 83 72 79 75 

A S H O K

8. If the circumference of a circle is 200 units, Then what will the length of the arc described by an angle of 20 degree ?

Answer: 11.11

Explanation:

The angle formed by a circle is 360 degrees.
Length of the arc = θ360${\displaystyle \frac{\theta }{360}}$ × Circumference of the circle.
So Length of the arc = 20360×200${\displaystyle \frac{20}{360}}\times 200$

So, the length of the arc described by 20 degree angle is 11.11 units.

9. The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.

Answer: 25 y

Explanation:

Average age of 39 students = 15 yrs

Total age of 39 students = 39 × 15 = 585 yrs

Avg age of 39 students + teacher =15+ (3/12) =15.25 years

So the total age of (39 student + 1 teacher) or 40 persons = 40 × 15.25 = 610 years

So age of teacher = 610 – 585 = 25 years

10. A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?

Answer: 7 h 32 min.

Explanation:

2.47 PM = 14.47

Total time = 14.47 – 7.15 = 7 hrs 32 min

11. In a row of boys Anand is eleventh from the left and Deepak is fifteenth from the right. When Anand and Deepak interchange their positions, Anand will be fifteenth from the left, which of the following will be Deepak's position from the right?

Answer: 19

Explanation:

Anand is 11th from left and Deepak is 15th from right side
10 boys - Anand - x boys - Deepak - 14 boys. 

After changing the position Anand's position is 15th from left. (Put Anand in Deepak position). So x is 3. Now Deepak position from the right is 14 + 1 + 3 + 1 = 19th.  

12. A transport company's vans each carry a maximum load of 13 tonnes. 12 sealed boxes each weighing 9 tonnes have to be transported to a factory. The number of van loads needed to do this is

option

a) 11

b) 12

c) 8

d) 9

Answer: b

Explanation:

12 as all boxes are sealed.

13. Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?

Answer: 288 miles

Explanation:

Time taken for trip from home to mountains = 9 h

Time taken for trip from mountains to home = 4 h

Let distance from home to mountains = x miles

let avg speed from home to mountains = y miles/h

Given avg speed on the trip home is 40 m/h faster than speed from home to mountains = y + 40 m/h

⇒ (x/9) = y and (x/4) = y + 40

by solving this, we get y = 32 m/h and the distance x=32 × 9 = 288 miles.

14. If N = 2³×3⁴ , M = 2²×3×5, then find the number of factors of N that are common with the factors of M.

a. 20

b. 18

c.  6

d.  8

Answer: c

Explanation:

N = 2³×3⁴

M = 2²×3×5
By taking common powers we get 2²×3

So common factors = (2 + 1)(1 + 1) = 6. 
(formula for number of factors of a number)

15. Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?

A. 15

B. 20

C. 25

D. 65

E. 75

Answer: E

Explanation:

Susan can type 2 pages in 1 min

Mary can type 0.5 pages in 1 min

so, both of them work together they type 2.5 pages in 1 min

so,in 30 min they type (30 × 2.5) = 75 pages

16. a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.

(a) 1/25

(b) 24/25

(c) 13/25

(d) 2/25

Answer: b

Explanation:

Total outcomes = 25 × 25 = 625

Probability of getting a and b are equal= 25 [ ∴ (1,1),(2,2),(3,3).....(25,25)]

Probability of a and b or not equal = 1−25625$1-{\displaystyle \frac{25}{625}}$ = 600625${\displaystyle \frac{600}{625}}$ = 2425${\displaystyle \frac{24}{25}}$

17. Worker W produces n units in 5 hours. Workers V and W work independently but at the same time, produce n units in 2 hours. How long would it take V alone to produce n units?

Answer: 10/3 h

Explanation:

w's 1 hours production = n/5

(w + v)'s 1 hours production = n/2

v's 1 hour production = n/5 + V = n/2

v's 1 hour production = n/2 – n/5 = 3n/10= n/(10/3)

Ans = 10/3 hours

18. If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time

(a) 0.8

(b) 0.48

(c) 0.6

(d) 0.14

Answer: b
Explanation:
Probability that A speaks truth is 80/100 = 0.8 

Probability that B speaks truth is 60/100 = 0.6 

Since both A and B are independent of each other 

So probability of A intersection B is P(A) × P(B) =0.8 × 0.6 = 0.48

19. Carrey rented a car for Rs.20 plus Rs.0.25 per kilometer driven. Samuel rented a car for Rs.24 plus Rs.0.16 per kilometer driven. If each drove d km. and each was charged exactly the same amount for the rental, then d equals ?

(a) 44.4

(b) 34.4

(c) 49.4

(d) 54.4

Answer: a
Explanation:
20 + 0.25 × d = 24 + 0.16d

Solving we get d = 44.4