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DI Question A Day archive and detailed solutions of each day is available here

[TheCat]

Directions for Q. 1 to Q. 5: Refer the data:
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. collected by J was the square of an integer.
(iv) Total no. collected by K was either the square or cube of an integer.



1. The no. collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64



2. The no. collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36



3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9



4. The number (or numbers) collected by how many in the group was (or were) prime numbers?
(1) 0 (2) 1 (3) 2 (4) 3



5. The numbers collected by which pair among the following together adds to the cube of an integer?
(1) K&L (2) J&N (3) M&N (4) M&L

[TheCat]

Doubt in di #51.
3 collected the same number as K and M together.

is this statement mean k+m= j+l+n = 50 as the total number is 100..

[ishacool]

Originally Posted by TheCat

Doubt in di #51.
3 collected the same number as K and M together.

is this statement mean k+m= j+l+n = 50 as the total number is 100..

i also have the same doubt.

[Apple]

Mr. House would like to visit his old friend Mr. Street, who is living in the main street of a small village. The main street has 50 houses divided into two blocks and numbered from 1 to 20 and 21 to 50. Since Mr. House has forgotten the number, he asks it from a passer-by, who replies "Just try to guess it." Mr. House likes playing games and asks three questions:
1. In which block is it?
2. Is the number even?
3. Is it a square?
After Mr. House has received the answers, he says: "I'm still doubting, but if you'll tell me whether the digit 4 is in the number, I will know the answer!". Then Mr. House runs to the building in which he thinks his friend is living. He rings, a man opens the door and it turns out that he's wrong. The man starts laughing and tells Mr. House: "Your advisor is the biggest liar of the whole village. He never speaks the truth!". Mr. House thinks for a moment and says "Thanks, now I know the real address of Mr. Street".


1. What is the address of Mr. Street?


1.
House no. 14
2.
House no. 9
3.
House no. 4
4.
House no. 25


2. What was the address Mr. House was told by the passer-by to go to?


1.
House no. 9
2.
House no. 16
3.
House no. 25
4.
House no. 49

answers:
14
25

Apple

[hanuman]

Answers for Solid DI #52

1) 14 option 1
2) 25 option 3

[ninja_talli]

Same answers here!
1) 14 option 1
2) 25 option 3

But for a time, i marked the answers as
1) 14 option1
2) 49 option4 :- Wrong

Good Question!

@apple, @thecat, guys good that you are posting the Qs here too... a lot of ppl don't check their daily Qs but do browse thru this thread (i know atleast 2 )

[ajay_citm]

Hey ppl m not able to arrive at the ans
pls tell me where i m wrong
suppose passers by tells Mr house that its in first block
looking at his doubt that he may be dicey in two 4 in the house no
only possibilites are 4,14 but considering that he would have got a
concrete ans for whether its a square its not possible
so he would have been told that its in 2nd block
here 24,34,40-49 are possibilities which create him confusion
but as passers by always tells lie
house is in 1st block .....
help rq for further debugging

[ninja_talli]

Originally Posted by ajay_citm

Hey ppl m not able to arrive at the ans
pls tell me where i m wrong
suppose passers by tells Mr house that its in first block
looking at his doubt that he may be dicey in two 4 in the house no
only possibilites are 4,14 but considering that he would have got a
concrete ans for whether its a square its not possible
so he would have been told that its in 2nd block
here 24,34,40-49 are possibilities which create him confusion
but as passers by always tells lie
house is in 1st block .....
help rq for further debugging

ummm, how about if i explain my method and you find out the problem in yours

Qs
1. In which block is it?
2. Is the number even?
3. Is it a square?
At this point he still can't get it, hence more than one option with 4 as a digit
4. Having 4 as a digit
Here he has a single option only

If block 1,even,square->4,16 ->4
If block 1,odd,square->1,9 ->Not possible (no 4)
If block 1,even,not-square->2,6,8,10,12,14,18,20 ->14
If block 1,odd, not square -> not possible

If b2,e,sq->36 -> np
If b2,o,sq->25,49->49
If b2,e,nsq->22,24...,34,...->np(more than one option with 4)
If b2,o,nsq->np

Now out of the three, there should be a contrasting pair (i.e. even in one, odd in other, square in one, not square in other...)
4,16 wala caselet and 25,49 wala caselet make up the pair

going by the options in the Qs, 4 and 25 is the correct/incorrect set...

[ishacool]

Solid DI #53

Directions for questions 1 to 2: A very big building in which thousand apes are living is lighted by thousand lamps. Every lamp is connected to a unique on/off switch, which are numbered from 1 to 1000. At some moment, all lamps are switched off. But because it is becoming darker, the apes want to turn on the lights. They will do this in the following way.

Ape 1 presses all switches that are a multiple of 1.
Ape 2 presses all switches that are a multiple of 2.
Ape 3 presses all switches that are a multiple of 3.
Ape 4 presses all switches that are a multiple of 4. etc., etc.


1. How many lamps are switched on after ape 1000 pressed his switches?
1. 31 2. 10 3. 0 4. 1,000

2. Which is a lamp number, which is switched on at the end?
1. 824 2. 512 3. 961 4. No Such Lamp