**
**
**6.....Infosys whole test paper with answer
**

1.There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down.

Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no. of steps in the escalator while it is staionary.

Solution (not sure):

If A takes 1 step in one second, then B takes 3 steps in one second. If A takes t1 seconds to take 50 steps, then B takes 150 steps in t1 seconds.

For B, to take 150 steps he requires t1 seconds,

then to take 75 steps he requires t1/2 seconds.

So now, s1=50, t1 = t1 & s2=75, t2=t1/2

ans= (s1*t2 ~ s2*t1) / (t1 ~ t2) which gives 100.

so 100 steps is the answer

**2.Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Dave just told the biologist that Cathy was on her way with doughnuts. Ann is sitting across from the doctor and next to the chemist. The doctor was thinking that Boobie was a goofy name for parent's to choose,but didn't say anything. What is each person's occupation?**

Ans: Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor, Cathy must be the author and Ann the biologist. The doctor didn't speak, but David did, so Bobbie is the doctor and Dave the chemist.

**3.Strike off any digit from each number in seven rows (need not be at same place) and combine the same operations with 3 digit numbers to get the same addition. After this strike off another digit from all and add all the No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the ' no.s in 7 rows at each stage**

1 2 3 4

+ 3 4 5 5

----------

4 6 8 9

- 2 3 4 5

----------

2 3 4 4

+ 1 2 5 4

------------

3 6 9 8

------------4.

**4.There are N coins on a table. There are two players A&B. You can take 1or 2 coins at a time. The person who takes the last coin is the loser. A always starts first.**

**1. If N=7, then**

a) A can always win by taking two coins in his first chance.

b) B can win only if A takes two coins in his first chance.

c) B can always win by proper play.

d) none of the above.

**2. A can win by proper play if N is equal to**

a) 13

b) 37

c) 22

d) 34

e) 48

Ans: E.

**3. B can win by proper play if N is equal to**

a) 25 b)26 c) 32 d) 41 e) none

**4. if N<4, can A win by proper play always?**

**5.ABCDE are sisters. Each of them gives 4 gifts and each receives 4 gifts No two sisters give the same combination ( e.g. if A gives 4 gifts to B then no other sisters can give four to other one.)**

(i) B gives four to A.

(ii) C gives 3 to E.

How much did A,B,C,E give to D?

Ans: Donor no of gifts A 1 B - C 1 D 2

**6 Mathematician has x apples. If he arranges them in rows of 3 one will be left. The same is the case with 5,7,9 apples. But when he arranged them in rows of 11, non will be left. Find the no. of apples.**

Ans: 946. (Hint: 11*6 11*11 11*16 11*21 =2E......11*76 =3D946).

**7.Every day a cyclist meets a train at a particular crossing. The road is straignt before the crossing and both are travelling in the same direction. Cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train.**

Ans:60 kmph.

**8.There is a 5digit no. 3 pairs of sum is eleven each.Last digit is 3 times the first one. 3 rd digit is 3 less than the second. 4 th digit is 4 more than the second one.**

Find the digit.

ans : 25296.

**9. There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total no. of the breads plus 1/2 of a bread.**

Similarly 2nd, 3rd,4th and 5fth also did the same. After the fifth one no. of breads remained are 3. Initially how many breads were there?

ans : 31.

**10 Find a five digit number subject to following conditions:-**

a. It contains 2 prime no digits.

b. 3rd digit is the lagest.

c. 1st digit = (3 rd digit - 1).

c. Sum of 4th digit and 5th digit is less than 1st digit.

d. Value of the 5th digit lies between the value of 1st digit and 2nd digit, 5th digit is one half of the 4th digit.

Ans: 71842

**11.4 persons are there caledd JOHN, JACOB, PITER, and WILLIAMS. 4 laungages are there named ENGLISH, ITALIAN, GERMAN, FRENCH. Conditions:-**

a. There is no common language for all.

b. Except one language, no language is spoken by more than two.

c. One can know either German or FRENCH but not both.

d. John can't speak ENGLISH But John can act as interpreter between JACOB and PITER. Jacob knows GERMAN but he can tailk with WILLIAM who doesn't know a word of GERMAN.

e. No common language between JOHN, PITER, and WILLIAMS.

Which two languages does each person speaks?

Hint: ITALIAN IS SPOKEN BY THREE PERSONS (This hint is given in Question paper)

**12.A rope ladder was left down from a ship. 12 steps of the ladder were exposed at 10:00 am. The queen who was going to visit the ship, said she would visit at 1:00 pm as she would have to climb lesser number of steps then. The tide in the sea increases from morning to afternoon at the rate of 1.2 meters per hour. The distance between any 2 steps of the ladder is 0.4 mts. How many steps will the queen have to climb?**

**13A person needs 6 steps to cover a distance of one slab. If he increases his foot length (step length) by 3 inches he needs only 5 steps to cover the slabs length. What is the length of the each slab.**

Ans: 31 inches.

**14.A theif steals half the total no of loaves of bread plus 1/2 loaf from a backery. A second theif steals half the remaing no of loaves plus 1/2 loaf and so on. After the 5th theif has stolen there are no more loaves left in the backery. What was the total no of loaves did the backery have at the biggining.**

Ans: 31.

**15.Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are atleast 5 years older than me. Now, Sam says you are atleast 39. All the statements by the two are false. How old are they really?**

Ans: Mala = 38 yrs; Sam = 41 yrs.

**16.A tourist wants to go from A to B. There are four ways to do this:-**

1. To take a wagon. The wagon stops for half an hour at a station in between a & b and then goes to b.

2. To walk to B. If he leavs A at the same time the wagon leaves, he will be between by the wagon by 1 mile to reach B.

3. To walk from A at the same time the wagon leaves from A. He will arrive at the mid station at the time when the wagon is prepared to leave.

He can take the wagon from there. This will take shortest time.

4. To go on upto the mid station & to walk from there. He will reach at B 15 minutes before the wagon.

What is the distance between A & B?.

**17There is a 18 strong building and 4 people live in it. They are dentist, lawyer, accountant, architect. Dentist floor is 5 times the lawyer's floor. Account is below dentist. If archetect moves two floors up he will be midway between dentist and account. If architect moves to midway of the building (9th floor) then he will be middle of dentist & lawyer. Ground floor can be ignored i.e. floor 0.**

Ans: Dentist 15. Accountant 13. Archetect 12. Lawyer 3.

**18A frog jumps 3 ft comes back 2ft in a day. In how many day it will come out of 30ft deep well?**

Ans: 28 day.

**19 When the actual time pass 1 hr, wall clock is 10 min behind it. When 1 hr is shown by wall clock, table clock shows 10 min ahead of 1 hr. When table clock shows 1 hr, the alarm clock goes 5 min behind it. When alarm clock goes 1 hr, wrist watch is 5 min ahead of it. Assuming that all clocks are correct with actual time at 12 noon, what will be time shown by wrist watch after 6 hr?**

Ans: 5:47:32.5 (n X 60 )50/60 X 70/60 X 55/60 X 65/60.

**20.In the 4 digits 1,2,3,4, how many 4 digited numbers are possible which are divisible by 4? Repeatations are allowed.**

Ans: 64.