Project Manager Questions


Q:

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?

A) 15 B) 20
C) 5 D) 10
 
Answer & Explanation Answer: B) 20

Explanation:

Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.
So, there is one way of doing it.
Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of numbers = (1  5  4) = 20.

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8 205
Q:

A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ?

A) 12 p.m. on Wednesday B) 2 p.m. on Thursday
C) 3 p.m. on Thursday D) 2 p.m. on Wednesday
 
Answer & Explanation Answer: B) 2 p.m. on Thursday

Explanation:

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

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Q:

Statement: There is a substantial increase in the number of accidents causing deaths and severe injuries due to malfunctioning of the traffic signals.
Course of action:
a. The traffic police should immediately post traffic personnel at the junctions.
b. The signal system should immediately be repaired or replaced.

A) Only a follows B) Either a or b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: B) Either a or b follows

Explanation:

Clearly, either the traffic signals should be made to function properly or traffic personnel should be deployed to guide vehicular movement in the right way. So either I or II follows.

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Q:

Statement: The air and rail services have been severely disrupted due to thick fog in the northern part of the country.
Courses of action:
a. The rail and air services should be temporarily suspended in the region.
b. People should be advised to make their travel plan keeping in mind the probable disruption resulting in delay or cancellation of services.
c. The government should immediately install modern machines which will enable itto guide the rail and air services even if the thick fog develops.

A) Only a follows B) a and b follows
C) Only b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

Keeping in mind the safety and convenience of passengers, both 'a' and 'b' follow. 'c' clearly suggests a remedy to the problem and hence it also follows.

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Q:

Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts.

Based on these statements which of the following conclusions is true?

A) All frustrated people are drug addicts B) Frustrated people are whimsical
C) All drug addicts are artists D) Some artists may be drug addicts
 
Answer & Explanation Answer: D) Some artists may be drug addicts

Explanation:
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