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Logical Connectivity 289
3. Manisha will eat the orange if Rajesh does not 7. (i) Doing well in CAT implies doing well in JMET.
cook. (ii) Good JMET results ensure that you get into one
Based on the information above which of the of the IITs or IISc.
following must be true (iii) Poor CAT results do not get you an admission
(a) Manisha will not eat the orange if Rajesh cooks. into any of the IIMs.
(b) If Manisha did not eat the orange, then Rajesh (a) Doing poorly in CAT always implies doing
did cook. poorly in JMET.
(c) If Manisha ate the orange, then Rajesh did not (b) Good CAT result ensures that one gets an
cook. admission into the IIMs.
(d) If Rajesh does not cook, Manisha will eat the (c) Admissions to the IITs or IISc may mean that
orange one has done well in CAT.
4. Look at the sentences given below (d) Anyone getting admission in one of the IIMs is
(i) If the contract is valid, then X is liable. guaranteed to get admission in one of the IITs
(ii) If X is liable, he will be bankrupt. or IISc.
(iii) If the bank loans him money, he will not go 8. In all family photos, if Geeta is present, her two
bankrupt. sisters are also present. A certain photo features five
Select the statement that is consistent with the above members of his family. Among the people in that
statements photo are Geeta’s parents with their son. Which of
(a) The contract is valid and the bank will loan him these statements is necessarily true?
money. (a) Geeta is present in the photo
(b) The contract is valid and the bank will not loan (b) Geeta is absent from the photo
him money. (c) Geeta may or may not be present in the photo
(c) The contract is not valid and he will go bankrupt. (d) The two sisters of Geeta are present in the
(d) The contract is not valid and he is liable. photo
Direction (Qs. 5–9): If all the three statements, marked 9. If a student sees a teacher in the class he would
(i), (ii) and (iii) are true, then which one of the following not sleep in the class, One day, a student does not
deductions, marked (1), (2), (3) and (4) can be MOST see a teacher in the class. Which of the following
LOGICALLY deduced: statements is true?
5. (i) Whenever milk is kept in front of a child, he/she (a) The student will sleep in the class.
starts crying.
(ii) Children cry if they are hungry. (b) The student will not sleep in the class.
(iii) Unhappy children are hungry. (c) Can not conclude anything.
(a) When hungry, a child likes milk. (d) None of these
(b) A child crying means he/she is unhappy. Direction (Qs.10–16):
(c) A happy child does not cry. Compound Statement:
(d) An unhappy child usually cries. Type 1: “If X then Y and Z”
6. (i) Whenever there is a fire, the fire alarm goes off This statement implies that:
(ii) If the sprinklers do not start, the fire alarm does (i) (X → Y and Z)
not go off. (ii) (~ Y or/and ~Z → ~ X)
(iii) If the sprinklers start, an automatic alarm is set
off at the fire department. Type 2: “If X then Y or Z” or “Whenever X then Y or Z”
(a) If an automatic alarm is set off at the fire This statement implies that:
department, that means there must be a fire. (i) (X → Y or Z)
(b) If the sprinklers do not start, the automatic alai- (ii) (~ Y and ~ Z → ~ X)
in at the fire department is not set off. (iii) (X and ~ Y → Z)
(c) Whenever there is a fire, an automatic alarm is
set off in the fire department. (iv) (X and ~ Z → Y)
(d) If there is no fire, no automatic alarm is set off Type 3: “Unless X, Y and Z” or “ Either X or Y and Z”
in the fire department. This statement implies that: