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Crictical mathematics question, can you solve it?

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It has a set of 50 questions in which reasoning, everyday mathematics and science, and achievers section ( H.O.Ts) are present. If you are sharp minded , then solve it.

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CLASS 9
PAPER 1


SECTION 01 LOGICAL REASONING
Directions: (1-3) Study the following information carefully and answer the questions given
below:
Abhi, Raman, Kalindi, Rohit, Gauri, Sameer and Chetan participate in a series of car races.
Everyone finishes each race and there are no ties. Raman’s place is exactly ahead of Kalindi.
Gauri’s place is exactly after Rohit. Either Abhi’s place is first and Sameer’s place is last, or
Sameer has first and Abhi has last place.

1. If Gauri’s place is exactly ahead of Raman, then which of the following positions could be the
Rohit’s position?
(A) 2nd
(B) 4th
(C) 2nd or 3rd
(D) 2nd or 3rd or 4th
Ans. [C]
Abhi/Sammer > Chetan > Rohit > Gauri > Raman > Kalindi > Sameer/Abhi or
Abhi/Sammer > Rohit > Gauri > Raman > Kalindi > Chetan > Sameer/Abhi

2. Find the option that cannot be true?
(A) Raman is 3rd
(B) Raman is 6th
(C) Rohit is 2nd
(D) Gauri is 4th
Ans. [B]
Raman is 6th
Raman > Kalindi and either Abhi or Sameer is at last position.

3. If exactly two positions are there between Abhi and Kalindi, then find the true statement.
(A) Abhi becomes 1st
(B) Sameer becomes 1st
(C) Raman becomes 2nd
(D) Rohit becomes 5th
Ans. [D]
Abhi/Sammer > Chetan > Raman > Kalindi > Rohit > Gauri > Sameer/Abhi


Directions (4-5): Study the following information carefully and answer the questions given
below:

,‘X $ Y’ means ‘X is the brother of Y’
‘X % Y’ means ‘Y is the son of X’
‘X & Y’ means ‘X is the daughter of Y’
‘X Ans. Y’ means ‘Y is the father of X’
‘X ! Y’ means ‘X is the sister of Y’
‘X ? Y’ means ‘Y is the mother of X’

4. Find the false statement.
(A) Q Ans. R ? S means Q is grand son/daughter of S
(B) S & T ? U means U is grandmother of S
(C) N & M ! P means P is the brother of M
(D) N ! P % Q Ans. R means R and P are couple
Ans. [C]
N & M ! P, from this we don’t know the gender of P


5. ‘G is the paternal uncle of H’ is true in which option?
(A) M Ans. G $ R % H
(B) H & N ! G $ M
(C) O $ G $ M & H
(D) H & M $ G $ O
Ans. [D]
In, H & M $ G $ O, we can find that G is paternal uncle of H.

Directions (6-10): Find out which of the following conclusions logically follows.
6. Statements: Some dogs are pets, No lion is a tiger, No tiger is a dog.
Conclusions:
I. All tigers are pets is a possibility
II. Some pets are not tigers
(A) Only I follows
(B) Only II follows
(C) Either I or II follows
(D) Both I and II follow
Ans. [D]




7. Statements: All books are pillows, Some fans are TVs, No TV is a book.
Conclusions:
I. Some books are not fans
II. Some TVs are definitely not pillows

, (A) Only I follows
(B) Only II follows
(C) Either I or II follows
(D) Neither I nor II follows
Ans. [D]




8. Statements: I. Some shirts are jeans, Some jeans is a pajamas, Some jeans are tees.
Conclusions:
I. All jeans being tees is a possibility.
II. At least some pajamas are jeans.
(A) Only I follows
(B) Only II follows
(C) Either I or II follows
(D) Both I and II follow
Ans. [D]




9. Statements:
No drinks are burgers. Some fries are drinks, Some toffees are burgers.
Conclusions:
II. All fries being burgers is a possibility.
III. Some toffees are fries.
(A) Only I follows
(B) Only II follows
(C) Either I or II follows
(D) Neither I nor II follows
Ans. [D]




10. Statements: All biscuits are chocolates, All chocolates are milk, No bread is a biscuits.
Conclusion:
I. No biscuits is a bread.
II. All milk being bread is a possibility.

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