Friday, January 30, 2015

Fake Coins in a bag

You have eight bags, each of them containing 48 coins. Five of these bags contain only true coins, the rest of them contain fake coins. 
Fake coins weigh 1 gram less than the real coins. You do not know what bags have fake coins and what bags have real coins. You can use a scale with precision up to 1 gram. 

Making only one weighing and using the minimum number of coins, ..

How can you find the bags containing the fake coins?

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3 diff Clr Vessels

There are three different color cylindrical vessels: Blue, Red, and Green, with the sizes, as shown. The Red vessel is put into the Blue one, and the Green vessel into the Red one as shown. Each vessel is full of water. 














You can ignore the thickness of the walls of the vessels.

Which vessel contains the largest quantity of water? 


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Two Trains and a fly

Two trains are 200 km apart, and traveling towards each other at 50 km/hour each.
From one train a fly takes off, flying straight above the rails to the other train at the speed of 75 km/hour, bounces off it and flies back to the first train.

"This is repeated till the trains crash together and the fly is smashed."

What distance is the fly able to fly until its meet its tragic end?

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10 Coins

The arrangement below shows 10 coins in three rows of four.











Your task is to re-arrange the same ten coins to make FIVE rows of four.

Each line must be straight and must contain exactly four coins. 

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4 taps to fill water

A pool has four taps. The first tap takes two days to fill the pool, the second tap three days, the third four days and the last one only 6 hours.

How long will it take to fill the pool using all 4 taps at once?

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what was the Time

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. 

What time is it now?

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Thursday, January 29, 2015

Long-haired Mary

Long-haired Mary  works for the Milk Marketing Board. Hairy Mary At The Dairy they call her. That's not very nice, is it? 
Anyway, Mary likes to eat her dinner by candlelight every evening. She saves all the candle ends because when she has collected seven ends, she can melt them down to make a new candle.
At the last count she found that she had 34 candles and 50 candle ends. One candle burns down in one evening. 

For how many evenings can Mary have a candlelit dinner before she has to buy more candles?

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Boiling Eggs

I need to boil eggs for exactly 9 minutes, or else the visiting Guests will complain, and i will lose my job as head chef.
But I have only 2 Hourglasses, one measures 7-minutes, and the other measures 4-minutes. 

How can I correctly measure 9 minutes?

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Fuses

In front of you are several long fuses. You know they burn for exactly one hour after you light them at one end. The entire fuse does not necessarily burn at a constant speed. For example, it might take five minutes to burn through half the fuse and fifty-five minutes to burn the other half. 

With your lighter and using these fuses, How can you measure exactly three-quarters of an hour of time?

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Chain Logic

Below you can see several bits of broken chain. I have been told to join up all the pieces to make a complete necklace using all twenty links.








However, it is a very difficult job, and it takes one minute to cut one link, and two minutes to join it up again. How long will it take me to finish the necklace?


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Car with a person in desert

A car has to carry an important person across the desert. There is no petrol station in the desert and the car has space only for enough petrol to get it half way across the desert.  There are also other identical cars that can transfer their petrol into one another.

How can we get this important person across the desert?


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Magic Rectangular Belt

A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface was 4 cm2. 

What was the original length, if the original width was 9 cm?


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Wednesday, January 28, 2015

Cut into two pieces

How can I cut the board into only two pieces so that they will fill the hole exactly?



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Circumference of the Earth

The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the Earth, touching the ground at all locations.

You come along at night, as a practical joke, and add just 10 meters to its length (one hundredth of one kilometer !) 

It is now one four-millionth longer, and sits magically just above the ground at all locations

How far has it risen ... could a flea, a rabbit or even a man squeeze underneath it?


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Prize money

Aman won a competition and so he got some prize money. He gave Rs. 2000 less than the half of prize money to his son and Rs. 1000 more than the two third of the remaining to his daughter. If both they got same amount, 

What is the prize money Aman got?

(a) 20000                          (b) 25000
(c) 26000                          (d) None of these



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Mixture of two liquids

A jar contains a mixture of 2 liquids A and B in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. 

How many litres of the liquid A was contained in the jar?
(a) 17 litres             (b) 16 litres
(c) 18 litres             (d) 15 litres



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Diameter of a square

In what time would a cistern be filled by three pipes whose diameters are 1cm, 11/3 cm, 2cm, running together, when the largest alone will fill it in 61 minutes, the amount of water flowing in by each pipe being proportional to the square of its diameter?

(a) 36 minutes         (b) 37 minutes
(c) 38 minutes         (d) 35 minutes



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Barchart math pblm

The following bar chart shows the trends of foreign direct investments(FDI) into India from all over the world.


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Tuesday, January 27, 2015

8 friends around square table

8 friends, P, Q, R, S, T, V, W and Y are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. The ones who sit at the four corners face the centre while those who sit in the middle of the sides face outside.
P, who faces the centre, sits third to the right of V. T, who faces the centre, is not an immediate neighbour of V. Only one person sits between V and W. S sits second to right of Q. Q faces the centre. R is not an immediate neighbour of P.

Who sits second to the left of Q?
(1) V         (2) P 
(3) T         (4) Y 
(5) Cannot be determined

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Summer camp

In a summer camp of a school, there were eight friends A, B, C, D, E, F, G and H. Who have taken dinner at a round table. The arrangement of these eight friend is in the following manner -
(i)   A is second left of F and not immediate of C and H.
(ii)  D is in front of G who is third right of B
(iii) F and B opposite each other. 

Who is 3rd right of A?
(1) C               (2) H 
(3) E               (4) G  
(5) None of these

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5 roommates with tasks

Five roommates Rahul, Santhosh, Teja, Uday, and Vinay each do one housekeeping task mopping, sweeping, laundry, vacuuming, or dusting one day a week, Monday through Friday.

* Vinay does not vacuum and does not do his task on Tuesday.
* Santhosh does the dusting, and does not do it on Monday or Friday.
* The mopping is done on Thursday.
* Teja does his task, which is not vacuuming, on Wednesday.
* The laundry is done on Friday, and not by Uday.
* Rahul does his task on Monday.

What task does Teja do on Wednesday?

A. vacuuming
B. dusting
C. mopping
D. sweeping
E. laundry

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Executives at a Company-who is secretary?

At a company, parking spaces are reserved for the top executives: CEO, president, vice president, secretary, and treasurer with the spaces lined up in that order. The parking lot guard can tell at a glance if the cars are parked correctly by looking at the color of the cars. The cars are yellow, green, purple, red, and blue, and the executives names are Anuhya, Bharat, Cherry, David, and Eswar.

* The car in the first space is red.
* A blue car is parked between the red car and the green car.
* The car in the last space is purple.
* The secretary drives a yellow car.
* Anuhya's car is parked next to David's.
* Eswar drives a green car.
* Bharat's car is parked between Cherry's and Eswar's.
* David's car is parked in the last space.

Who is the secretary?

A. Eswar            B. David            C. Cherry
D. Bharat           E. Anuhya

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what will be CI

What will be the compound interest earned on an amount of 
Rs. 5000 in 2 years?

I.The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000.
II.The compound interest and the simple interest earned in one year is the same.
III.The amount became more than double on compound interest in 10 years.

A. I only
B. I and II only
C. II and III only
D. I and III only
E. None of these

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Diff between SI&CI

An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?

I. The rate of interest was 8 p.c.p.a.
II. The total amount of simple interest was Rs. 1200.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

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Same relation Sequence

7952 : 1211 : 23
Which set of numbers below has the same relationship to each other as the numbers above?
a. 3482 : 2408 : 16          b. 3496 : 1254 : 39               c. 8278 : 1510 : 25 
d. 8217 : 9090 : 99          e. 9487 : 1612 : 37

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Monday, January 26, 2015

Replace the '?'

63 ( 97 ) 49
56 ( 73 ) 24
?   ( 36 ) 54
What number should replace the question mark?

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Longest word in English lang

What is the longest word in the English language that can be produced from the ten letters below? No letter may be used more than once.

H T E R C I K F A O

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Decimal math pblm

Solve the below math::
What is the value of 3/8 + 5/16 as a decimal??

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Diff % of Apples&oranges

At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. 
What is the difference between the percentages of apples left in the two market stalls?

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weight of marble

A marble statue is being carved by a sculptor. In the first week 35% is cut away, in the second week 20% of the remainder is cut away and in the third week 25% of the remainder is cut away and polished to produce the final statue. The weight of the final statue is 48.75 lbs. 
What was the weight of the original piece of marble?

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Missing section

A  G  D  K  G  R  K
F   R  N  L  A  B   D
L   B  B  F   F  N  N
K  N  R  A   L  D  B
D  D  G  G  K  K  R
N  K   A            L  G
B   L   F            F   A

Which is the missing section?

1)   D   R           2) R   D      3)  D   R         4) R   D
       B   N               N   B           N   B             B   N


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Probability math pblm

You have two bags each containing six balls. The first bag contains balls numbered 1 to 6 and the second bag contains balls numbered 7 to 12. A ball is drawn out of bag one and another ball is drawn out of bag two. 
What are the chances that at least one of the balls drawn out is an odd-numbered ball?

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pair of anagrams

Identify the pair of anagrams from the list of words below.
corniest, esoteric, serotine, ordinate, obtained, monsters, proteins, antipode, bisector, rationed, ptomaine, senorita, baritone

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