IPMAT Rohtak 2019 Question Paper

The question is to just write down the number asked of a particular cell/position.

Step VII of input is already given : 95 84 78 76 67 38 18 13
Therefore, the numbers which comes between 3rd and 5th number from left is 4th number from left which is equal to 76.

Let Current ages of Tanya & her grandfather be X, Y respectively.
Given :
16 yrs ago : (Y-16)  =  8(X-16)
8 yrs later : (Y+8) =  3(X+8)

By solving above both equations we arrive at X = $$\dfrac{\ 128}{5}$$ , Y = $$\ \dfrac{\ 464}{5}$$

Therefore 8 yrs ago the ratio will be $$\dfrac{\ X-8}{Y-8}$$ = $$\dfrac{\ 88}{424}$$ = $$\dfrac{\ 11}{53}$$

As clock loses 4 minutes each day . 
Feb 25th, 2008 at 2pm it was set right . 2008 is a leap year so it will have 29 days in Feb .
So no of days between 25th Feb and 3rd march = 7 days .
In 7 days clock loses 7x4 = 28 minutes .

So now clock shows 1:32 pm on 3rd March 2008 at 2 pm.

As clock loses 4 minutes each day , it implies clock loses 4/24 minutes per each hour i.e it loses 1/360 minute for every one minute . This can imply that for every one hour clock moves only {60-$$\dfrac{\ 4}{24}$$} = $$\dfrac{\ 359}{6}$$ minutes for every hour.

lets assume 'X'  hours before 2 pm the clock shows 9 am , this implies :
1:32 pm - $$\dfrac{\ 359\left(X\right)}{6}$$ minutes = 9:00 am
$$\dfrac{\ 359\left(X\right)}{6}$$ minutes = 4 hrs 32 mins 
$$\dfrac{\ 359\left(X\right)}{6}$$ minutes = 272 mins
Therefore, X = $$\dfrac{\ 6\left(272\right)}{359}$$ hours = $$\dfrac{\ 1632}{359}\ $$ hours.

So, the time at which clock shows 9 am is actually {2 pm - $$\dfrac{\ 1632}{359}\ $$ hours } .
Now, lets the value which we need to add to get the right time at 9 am be "Y" minutes , then it implies :
    {2 pm - $$\dfrac{\ 1632}{359}\ $$ hours } = 9 am + Y minutes

   300 = $$\dfrac{\ 1632}{359}\ $$ hours  + Y minutes 

Hence, Y = 300 - $$\dfrac{\ 1632\left(60\right)}{359}\ \min$$
           Y =  $$\dfrac{\ 9780}{359}$$ minutes.

From given statement we can infer that $$R \geq S$$ & $$R \leq U$$
So, $$S\le\ R\le\ U$$.

From this we can say Either II or III is true, because we cannot firmly establish equality b/w any of two among 3.

Conclusion I : U > V, but this cannot be definite because we only know U & V are lesser than Q.

Conclusion II : B < C is true because it is given that A<P=C & B<A so this implies B<A<P=C.

Conclusion III : Q > D is true because it is given P=C<Q & $$D\le\ P=C$$ this will imply $$D\le\ P=C\ <\ Q$$ .

Therefore , Only II & III follows.

Statement I: Only children's chairs are stuffed with beans.

Nothing in the facts talks about children’s chairs vs other chairs. We only know “some chairs are stuffed with beans.”

Therefore, statement I can not be concluded. 

Statement II: All stuffed tigers are stuffed with beans.

We only know “most stuffed toys are stuffed with beans,” not all stuffed toys, nor specifically tigers.

Hence, this statement also can not be concluded.

Statement III: Stuffed monkeys are not stuffed with beans.

We have no information about stuffed monkeys.

Therefore, this statement also can not be concluded. 

Therefore, none of the statements is a known fact.

Atul is 12th from right and 4th from left in a line of "N" members standing :
   N = 12+4-1 = 15 members 
Hence, to make it 28 we need to add another 13 members .

I. B is between E and C ~ {EBC or CBE}

II. B is to the right of E ~ {EBC} .. But till now we don't know where A & D are sitting .

III. D is between A and E. ~~ {ADEBC} .. The middle position is occupied by E.

Therefore all I,II,III statements are required to find who's sitting in middle .

Statement 1 : S = G - 6 

Statement 2 : GB born in 1982

Statement 3 : SB = 1990 , GB is 8 yrs younger than G i.e  G = GB - 8 

By using all 3 statements we can say G = 1982-8 = 1974  &  S = 1974 - 6 = 1968.
Therefore, all I, II, III together are required to deduce the age.

IMTITJU is written as TMIIUJT :
On observing above we can say that its a 7 letter word in which 1st and 3rd letter are interchanged and 5th and 7th letter are interchanged.

Now using same above logic TEMREMP (7 letter word) can be written as "METRPME"
Therefore, Option B is the answer.