IPMAT Rohtak 2020 Question Paper

7 boys who are standing in a row are : {Kavikanth, Anurag, Bipin, Jayanth, Gourav, Komal , Ramu} .

Kavikant is standing left to Anurag but right to Bipin : "Bipin Kavikanth Anurag"
Jayant is standing right to Gourav and left to Bipin : " Gourav Jayanth Bipin Kavikanth Anurag"
Komal is standing right to Anurag and left to Ramu : " Gourav Jayanth Bipin Kavikanth Anurag Komal Ramu"

Therefore the order is : {Gourav Jayanth Bipin Kavikanth  Anurag  Komal  Ramu} .

Hence, the middle person standing in a row is Kavikanth.

Out of 78 people, Salman Khan is standing at 20th position from right .
Karan Johar is standing 25th from left ~~ (78-25+1) from rights i.e 54th position from right.

Therefore, No of people standing between 20th position and 54th position will be equal to {54-20-1} = 33

The series is 12, 38, 116, 350, 1052, ?

12

38 = 12*3 + 2

116 = 38*3 + 2

350 = 116*3 + 2

1052 = 350*3 + 2

The next term will be 1052*3 + 2 = 3158

Option I shows : N is the father of C and M is the sister of N. Hence this has to be wrong.

Option II : C is the brother of N & N is the father of M . Hence this has to be wrong.

Option III : M is the sister of F & F is the father of C . hence this also wrong.

Option IV : M is the father of N, N is the sister of C & C is the brother of F, this implies C is a male and N is female such that {M,N} are kids of M (father)

Therefore answer is option IV.

Option I : Confessing is supposed to be first step to fixing theft , daring to fight isn't the same thing.
Option II : The same way you confess to theft is you admit to fault.
Option III : Committing murder doesn't fix anything instead confessing would have been same.
Option IV : Agreeing to a mistake is wrong sentence, instead admitting to mistake would have been appropriate.

Therefore, Option II is the answer.

Statement I : Some Yachts are Boats : this is a wrong statement from above representation.
Statement II : Some submarines are Boats : This is true.
Statement III : Some submarines are ships : This is also true.
Statement IV : Some Yachts are ships : This is wrong statement.

Therefore, Only II & III follows.

It is given that Some google is twitter .
No twitter is facebook but all facebook are whatsapp .

The above implies that , though No twitter is facebook , some twitter could be whatsapp which is a possibility. And given some google is twitter implies there could be some google which is part of twitter and the same part being an inclusion in whatsapp . Hence conclusion I - Some whatsapp are google is a possibility.

Conclusion II : some twitter can never be facebook is also true because it is given that twitter and facebook are exclusive sets in the statements .

Therefore, both Conclusion I & II follows.

There are 7 different cars : {Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford, Fargo} .

Given, Cadillac is next to the right of Fargo . Fargo is 4th to the right of Fiat : this implies " Fiat - - - Fargo Cadillac"
It is also given that Fiat which is third to the left of Ambassador, is at one end : this implies :
                               Fiat  -  -  Ambassador Fargo Cadillac  - 
It is given Maruti car is in between Ambassador and Bedford :
                       Fiat  Bedford  Maruti  Ambassador Fargo Cadillac  Mercedes.

Therefore, the cars adjacent to Cadillac are { Fargo & Mercedes}.

There are 7 different cars : {Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford, Fargo} .

Given, Cadillac is next to the right of Fargo . Fargo is 4th to the right of Fiat : this implies " Fiat - - - Fargo Cadillac"
It is also given that Fiat which is third to the left of Ambassador, is at one end : this implies :
                                   Fiat - - Ambassador Fargo Cadillac -
It is given Maruti car is in between Ambassador and Bedford :
                     Fiat  Bedford  Maruti  Ambassador  Fargo  Cadillac  Mercedes.

Option I : Maruti is next left of Ambassador. Hence this is right statement.
Option II Bedford is next left of Fiat. This is wrong because Fiat is at end , there is no car on its left.
Option III : Bedford is at one end. This is wrong because the end cars are Fiat and Mercedes.
Option IV : Fiat is next second to the right of Maruti. This is wrong because 2nd right to Maruti is Fargo.

Therefore, answer has to be option I.

A : + , B: - , C:x

(10C4) (A) (4C4)B6 = (10x4) + (4x4)-6

                            =  40 + 16 - 6 = 50