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- Question
- 5 years ago, the average age of Ram and Shyam was 20 years. Now, the average age of Ram, Shyam and Mohan is 30 years. What will be Mohan's age 10 years hence?
Options- A. 50 years
- B. 45 years
- C. 40 years
- D. 35 years
- Correct Answer
- 50 years
ExplanationLet us assume the present age of Ram R, Shyam S and Mohan M.
5 years ago, Ram age = R - 5
5 years ago, Shyam age = S - 5
5 years ago, Mohan age = M - 5
According to question,
5 years ago, the average age of Ram and Shyam was 20 years,
(5 years ago, Ram age + 5 years ago, Shyam age) /2 = 20
(R - 5 + S - 5 )/2 = 20
R + S = 40 + 10 = 50 ................(1)
Now Again according to question,
Now , the average age of Ram, Shyam and Mohan is 30 years
(R + S + M)/3 = 30
R + S + M = 90
Pu the value of R + S from equation (1)
50 + M = 90
M = 90 - 50 = 40
The present age of Mohan = 40 years
10 years hence, the age of Mohan = 40 + 10 = 50 years - 1. Unless you study, you can not crack CAT
(i) you cracked CAT
(ii) You could not crack CAT
(iii) You did study
(iv) you didn't study
Options- A. (i) and (iv)
- B. (ii) and (iii)
- C. (iv) and (i)
- D. None of these Discuss
- 2. Whenever Ram reads late into the night, his father beats him.
A. His father does not beat Ram.
B. Ram reads late into the night.
C. Ram reads early in the morning.
D. Ram's father beats him in the morning.
Options- A. CD
- B. BD
- C. AB
- D. None of these Discuss
- 3. Either Ravana is a demon, or he is a hero.
A. Ravana is a hero.
B. Ravana is a demon.
C. Ravana is not a demon.
D. Ravana is not a hero.
Options- A. CD only
- B. BA only
- C. CD and BA
- D. DB and CA Discuss
- 4. Ram will either buy a Car or a Flat which one of the following can be concluded from this?
Options- A. Ram bought a Flat so he will not buy a car.
- B. Ram bought a Car so he will not buy a Flat.
- C. Ram did not bought Car so he must have bought Flat.
- D. None of these Discuss
- 5. Unless students are agree, the class will continue and Institute will remain open.
Options- A. Students are agree it implies that either class will not continue or institute will not close.
- B. The class will not continue or the institute is closed implies that students are agree.
- C. Students are not agree and the class will not continue implies that institute will remain closed.
- D. None of these. Discuss
- 6. Manisha will eat the orange if Rajesh does not cook.
Bases on the information above which of the following must be true
Options- A. Manisha will not eat the orange if Rajesh cooks.
- B. If manisha did not eat the orange, then Rajesh did cook.
- C. If Manisha ate the orange, then Rajesh did not cook.
- D. If Rajesh does not cook, Manisha will eat the orange Discuss
- 7. If I talk to my professors, then I do not need to take a pill for headache.
A. I talked to my professors.
B. I did not need to take a pill for headache.
C. I needed to take a pill for headache.
D. I did not talk to my professors.
Options- A. AB only
- B. DC only
- C. CD only
- D. AB and CD Discuss
- 8. Unless boss is present employees don't work
(i) Boss is present
(ii) Boss is not present
(iii) Employee work
(iv) Employee don't work
Options- A. (i) and (iv)
- B. (ii) and (iv)
- C. (iv) and (i)
- D. None of these Discuss
- 9. In all family photos, if Geeta is present, her two sisters are also present. A certain photo features five members of his family. Among the people in that photo are Geeta's parents with their son. Which of these statements is necessarily true?
Options- A. Geeta is present in the photo
- B. Geeta is absent from the photo
- C. Geeta many or many not be present in the photo
- D. The two sisters of Geeta are present in the photo Discuss
- 10. If it is not raining then I will not walk slow but I will walk at least 4 km.
Options- A. If it is raining then I will walk slow but I will not walk 4 km.
- B. If it is raining then I will not walk slow but I will not walk 4 km.
- C. If I am walking slow or not walking for 4 kms then it is raining.
- D. None of these Discuss
More questions
Correct Answer: (ii) and (iii)
Explanation:
This is the case of "unless X, Y" so in this case negation of one statement will be followed by other statement.
Correct Answer: None of these
Explanation:
None of the given options relates logically to the given statements.
Correct Answer: DB and CA
Explanation:
It is an example of either a or b type:
CD a ? - b that is logically incorrect.
BA a ? b that is also logically incorrect.
DB b ? a that is also logically correct
CA - a ? b that is also logically correct
Correct Answer: Ram did not bought Car so he must have bought Flat.
Explanation:
It is the case of "Either X or Y" hence (~ X ? Y) and (~ Y ? X) hence option (C) is correct.
Correct Answer: The class will not continue or the institute is closed implies that students are agree.
Explanation:
This belongs to Type 3:- "Unless X, Y and Z" This statement implies that:
(i) (~ X ? Y or Z)
(ii) (~ Y or/and ~ Z ? X) Given in option (B)
Correct Answer: If manisha did not eat the orange, then Rajesh did cook.
Explanation:
The conclusion should be if Manisha ate the orange, then Rajesh did not cook.
Correct Answer: AB and CD
Explanation:
Same as above Ab and CD are logically correct.
Correct Answer: (ii) and (iv)
Explanation:
It is the case of "Unless X , Y" the conclusion is:
Boss is not present means employees don't work. [ii and iv]
Employee work means boss is present. [iii and i]
Correct Answer: Geeta is absent from the photo
Explanation:
Let X be the event that Geeta is present in the photo and event Y that her sister are present. Given that X ? Y.
As per the given information in the photo already has three people (Geeta's parents with their son 3 persons so remaining can be only 2 persons). Thus, Geeta cannot be in the photo.
Correct Answer: If I am walking slow or not walking for 4 kms then it is raining.
Explanation:
This is the situation of "If X then Y and Z" it implies that:
(i) (X ? Y and Z)
(ii) (~ Y or/and ~ Z ? ~ X ) given in option (C)
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