# Aptitute Test Interview Questions and Answers (58) - Page 3

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##### Find next number in the series 105, 85, 60, 30, 0, -45, -90,_?

Explanation:
105-20=85; 85-25=60; 60-30=30; 30-35=-5; -5-40=-45; -45-45=-90;
##### Find next number in the series 6, 24, 60,120, 210

NOTE: This is objective type question, Please click question title for correct answer.
##### Find next number in the series 1, 5, 13, 25,_

NOTE: This is objective type question, Please click question title for correct answer.
##### Simplify: (893+786)^2 -(893-786)^2 / (893*786)= ?

FORMULA SUBSTITUTION:

NUMERATOR: (A+B)^2 -(A-B)^2 = 4AB

DENOMINATOR:AB

=> 4AB/AB=4

THE ANSWER IS 4
##### (36785)^2350 +(96387)^350 What is the Unit Digit in the above mentioned expression ?

short cut:

1st portion:untit digit=>
5^2350 only considered power number:(2350-1)/4=remainder 1
5^1+remainder=5^1+1=5^2=25
so unit digit =>5

2nd portion :unit digit=>
7^350 only considered power number:(350-1)/4=remainder 1
7^1+remainder=7^1+17^2=49
so unit digit=>9

Answer=1st portion unit digit+2nd portion Unit Digit
==> 5+9=14

(Important:(Any Power number-1)/4)
##### If a^2+b^2=117 and ab=54 then find the value of a+b/a-b.

(a+b)^2=a^2+b^2+2ab
= 117+2*54=225
=> a+b=15

(a-b)^2=a^2+b^2-2ab
= 117-2*54=9
=> a-b=3

then a+b/a-b
=15/3=5
##### A Worker agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.

Answer is 150 men.

Explanation :

1 day work = 2/(7*90)
1 hour work=2/(7*90*8)
1 man work=2/(7*90*8*75)

The Remaing work 5/7 has to be completed in 60 days , because the total number of days allowed for the completion of the work is 150 days.

so we have ,

(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7
where x is the number of men working after the 90th day.

We get x = 225

Since we have 75 men already,

Answer = 225- 75
It is enough to add only 150 men.
##### What is one thing that you as a developer will never compromise on?

NOTE: This is objective type question, Please click question title for correct answer.
##### Two people will take 2 hours to paint 2 rooms.How many people required to paint 18 rooms in 6 hours ?

6 people is the answer..See How.,

2 people can paint 2 rooms in 2 hours..Similarly,
6 people can paint 6 rooms in same 2 hours.

so the same 6 people can paint 18(6*3)rooms in 6(2*3)hours.
##### You have to measure exactly 4 liters of water, but you only have a 3-liter bottle and a 5-liter bottle. How do you do it?

Fill the 3-liter bottle and pour it into the empty 5-liter bottle.
Fill the 3-liter bottle again, and pour enough to fill 5-liter bottle. This leaves exactly 1 liter in the 3-liter bottle.
Empty the 5-liter bottle; pour the remaining 1 liter from the 3-liter bottle into the 5-liter bottle.
Fill the 3-liter bottle and pour it into the 5-liter bottle. The 5-liter bottle now has exactly 4 liters.
##### There are 3 switches outside a Room in which one of them are functional to a light bulb which is inside that room.How can you find the right switch if you only allowed into the room once ?

Here is the simplification how it works,

First switch on the 1st switch and wait for 5 minutes. Then switch it off and turn on 2nd switch. Now get in the room Immediately and Observe the light bulb.

If it is 'on', then 2nd switch is right.

If it is 'Off', check the bulb if it is Hot or not. If it is 'Hot', then 1st switch is right(because you switched it on for 5 min and bulb gets heated that time) and if 'Cold', then 3rd switch is correct one.
##### There is a new building having 100 rooms in it. A painter was hired to paint the numbers 1 to 100 on the doors.How many times he have to paint the number '8'?

20 times, because 8 comes twenty times in upto 100 numbers. They are,

8,18,28,38,48,58,68,78,80,81,82,83,84,85,86,87,88,89,98.
##### There are some Apples to the Apple tree. After a strong wind on the tree, there were no Apples on the tree and on the ground. Why?

Simple, Tree's got 2 apples earlier. After the wind, 1 Apple fell down.

So there is only 1 apple each on the Tree and on the Ground. Not Apples
##### A 6-Feet taller Man found dead by Hanging himself to the Fan in an Empty room. There are no things found in the room except the puddle of water. The Fan is 12-feet from the bottom. How did he hung himself?

As we said that there is the puddle of water in the Room. That means, He stood on the big Ice Slabs and Hung himself. Those Slabs melted and became the as water later on.
##### In a Cricket Game, Two Batsman playing each on 94* . They need 7 runs to win the Game in 3 balls. How can they both make Hundred without getting out or Retired-Hurt ?

Yes, there is only one possible way that should happen in the Game.

Ball-1 : First batsman hits the ball and it passes the Wicket-Keeper and touches the Keeper's Helmet. Umpire signs 5 runs to the batsman which moves him to 99.

Ball-2 : Makes a Quick single and Finishes his Hundred by putting the Game on Tie.

Ball-3 : Another Batsman(on 94*) will go for a Six to finish the Game as well as his Hundred.
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