Solved Placement Papers

1) The letters P, Q, R, S, T, U and V, not necessarily in that order represents seven
consecutive integers from 22 to 33.
• U is as much less than Q as R is greater than S.
• V is greater than U.
• Q is the middle term.
• P is 3 greater than S.
Can you find the sequence of letters from the lowest value to the highest value?

Here are some solved questions from ICICI Placement Papers

1) Two people enter a race in whick you run to a point and back. Person A runs 20 mph to and from the point. Person B runs to the point going 10 mph and 30 mph going back. Who came in first?

Answer
Person A came in first.

2) Mark ate half of a pizza on Monday. He ate half of what was left on Tuesday and so on. He followed this pattern for one week. How much of the pizza would he have eaten during the week?

Answer
Mark would have ate 127/128 (99.22%) of the pizza during the week.

3) In the General meeting of "Friends Club", Sameer said, "The repairs to the Club will come to a total of Rs 3120 and I propose that this amount should be met by the members, each paying an equal amount." The proposal was immediately agreed. However, four members of the Club chose to resign, leaving the remaining members to pay an extra Rs 26 each.How many members did the Club originally have?

Answer
The Club originally had 24 members.

4) If you look at a clock and the time is 3:15.What is the angle between the hour and the minute hands? ( The answer to this is not zero!)

Answer
7.5 degrees

Here are some solved questions from ICICI Placement Papers

1) Mrs. Watsherface had a garage sale. A custmer named Gina bought an old lamp and a rug. She  paid a total of $5.25 for everything. The rug cost 25 cents more than the lamp. How much did each cost?

Answer
The lamp cost $ 2.50 and the rug cost $ 2.75

2) SlowRun Express runs between Bangalore and Mumbai, For the up as well as the down journey, the train leaves the starting station at 10:00 PM everyday and reaches the destination at 11:30 PM after three days.Mr. Haani once travelled by SlowRun Express from Mumbai to Bangalore. How many SlowRun Express did he cross during his journey?

Answer
Mr. Haani crossed 7 SlowRun Expresses during his journey.

3) In a certain year, the number of girls who graduated from City High School was twice the number of boys. If 3/4 of the girls and 5/6 of the boys went to college immediately after
graduation, what fraction of the graduates that year went to college immediately after graduation?

Answer
Assume that number of boys graduated from City High School = B
Therefore, number of girls graduated from City High School = 2*B
It is given that 3/4 of the girls and 5/6 of the boys went to college immediately
after graduation.
Hence, total students went to college
= (3/4)(2*B) + (5/6)(B)
= B * (3/2 + 5/6)
= (7/3)B
Fraction of the graduates that year went to college immediately after graduation
= [(7/3)B] / [3*B]
= 7/9
Therefore, the answer is 7/9

4) A mule and a donkey were carrying full sacks on their backs.The mule started complaining that his load was too heavy. The donkey said to him "Why are you complaining? If you gave me one of your sacks I'd have double what you have and if I give you one of my sacks we'd have an even amount."How many sacks were each of them carrying? Give the minimal possible answer.

Answer
The mule was carrying 5 sacks and the donkey was carrying 7 sacks.

Here are some solved questions from Wipro Placement Papers

1) My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction?

Answer
She lost Rs 666.67

2) 12 members were present at a board meeting. Each member shook hands with all of the other members before & after the meeting.How many hand shakes were there?

Answer
132

3) An emergency vehicle travels 10 miles at a speed of 50 miles per hour.How fast must the vehicle travel on the return trip if the round-trip travel time is to be 20 minutes?

Answer
75 miles per hour

4) All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors, & 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business?

Answer
70 students are majoring in both, psychology & business

1) A man has Ten Horses and nine stables as shown here.
[ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ]
The man wants to fit Ten Horses into nine stables. How can he fit Ten horses
into nine stables?

Answer
The answer is simple. It says the man wants to fit "Ten Horses" into nine stables.

Here are some solved questions from Accenture  Placement Papers

1) 3 blocks are chosen randomly on a chessboard. What is the probability that they are in the same diagonal?

Answer
There are total of 64 blocks on a chessboard. So 3 blocks can be chosen out
of 64 in 64C3 ways.
So the sample space is = 41664
There are 2 diagonal on chessboard each one having 8 blocks. Consider one
of them.
3 blocks out of 8 blocks in diagonal can be chosen in 8C3 ways.
But there are 2 such diagonals, hence favourables = 2 * 8C3 = 2 * 56 = 112
The require probability is
= 112 / 41664
= 1 / 372
= 0.002688

2) What is the area of the triangle ABC with A(e,p) B(2e,3p) and C(3e,5p)?
where p = PI (3.141592654)

Answer
A tricky ONE.
Given 3 points are colinear. Hence, it is a straight line.
Hence area of triangle is 0.

3) 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
Meenu weighs 58 Kgs.
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 X Kgs.
X = 29 + X/2
2*X = 58 + X
X = 58 Kgs

4) Consider the sum: ABC + DEF + GHI = JJJ .If different letters represent different digits, and there are no leading zeros, what does J represent?

Answer
The value of J must be 9.Since there are no leading zeros, J must be 7, 8, or 9. (JJJ = ABC + DEF + GHI= 14? + 25? + 36? = 7??)Now, the remainder left after dividing any number by 9 is the same as the remainder left after dividing the sum of the digits of that number by 9. Also,  note that 0 + 1 + ... + 9 has a remainder of 0 after dividing by 9 and JJJ has a
remainder of 0, 3, or 6. The number 9 is the only number from 7, 8 and 9 that leaves a remainder of 0, 3, or 6 if you remove it from the sum 0 + 1 + ... + 9. Hence, it follows that J must be 9.

1) At University of Probability, there are 375 freshmen, 293 sophomores, 187 juniors, & 126 seniors. One student will randomly be chosen to receive an award.
What percent chance is there that it will be a junior? Round to the nearest whole percent.

Answer
19%

1) In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?

Answer
There are total 450 rooms.
Out of which 299 room number starts with either 1, 2 or 3. (as room number 100

Here are some solved questions from TCS Placement Papers

1) Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.

Answer
The answer is 285714.

2) There is a 4-character code, with 2 of them being letters and the other 2 being numbers.How many maximum attempts would be necessary to find the correct code? Note
that the code is case-sensitive.

Answer
The maximum number of attempts required are 16,22,400

3) How many possible combinations are there in a 3x3x3 rubics cube? In other words, if you wanted to solve the rubics cube by trying different combinations, how many might it take you (worst case senerio)?How many for a 4x4x4 cube?

Answer
There are 4.3252 * 10^19 possible combinations for 3x3x3 Rubics and
7.4012 * 10^45 possible combinations for 4x4x4 Rubics.

4) There are 20 people in your applicant pool, including 5 pairs of identical twins.If you hire 5 people randomly, what are the chances you will hire at least 1 pair of
identical twins? (Needless to say, this could cause trouble ;)

Answer
The probability to hire 5 people with at least 1 pair of identical twins is
25.28%

Here are some solved questions from 3i Infotech Placement Papers

1) A person with some money spends 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/-
How much did he have with him in the begining?

Answer
Rs. 250/-

2) Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for  70 cows and 60 days for 30 cows to eat the whole of the grass.
How many cows are needed to eat the grass in 96 days?

Answer
20 cows

3) There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit
is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.

Answer
65292

4) Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5.How many such 3-digit numbers are there?

Answer
There are 45 different 3-digit numbers.