GATE Questions

Q:

A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

A) 4/3 days B) 2 days
C) 3/2 days D) 4 days
 
Answer & Explanation Answer: A) 4/3 days

Explanation:

Let the total number of documents to be printed be 12.

 The number of documents printed by P in 1 day = 4.

 The number of documents printed by Q in 1 day = 3.

 The number of documents printed by R in 1 day = 2.

 
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

 

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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Filed Under: Time and Work
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4 3880
Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18 B) 24
C) 36 D) 32
 
Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

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Filed Under: Permutations and Combinations
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17 3879
Q:

I have three eyes but only one leg.

I still close one even if you beg. 

What am I?

Answer

A traffic light.


It has three 'eyes' (the red, orange and green lights) and the leg is the pole holding it up. Many people beg the light to stay green as they’re approaching.

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Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5 B) 5 : 4
C) 7 : 6 D) 6 : 7
 
Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
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3 3877
Q:

The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:

A) 21 yrs B) 27 yrs
C) 29 yrs D) 31 yrs
 
Answer & Explanation Answer: A) 21 yrs

Explanation:

Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years

Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years

Age of husband = 81 - 60 = 21 years.

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Filed Under: Problems on Ages
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5 3875
Q:

Excel displays the current cell address in the

A) Title Bar B) Name Box
C) Status Bar D) Formula bar
 
Answer & Explanation Answer: B) Name Box

Explanation:
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Filed Under: Computer
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3 3874
Q:

Q's mother is sister of P and daughter of M who is brother of R. S is daughter of P and sister of T. How is M related to T ?

A) Grand father B) Grand mother
C) Grand father or Grand mother D) Can't be determined
 
Answer & Explanation Answer: A) Grand father

Explanation:

Q's mother is sister of P and daughter of M => P is the child of M.
S is daughter of P and sister of T, so P is parent of T too.
M ----> parent --------> P ------------>parent -------------> T
But given M is brother of R => M is male.

So, M is grandfather of T.

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Filed Under: Blood Relations
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8 3873
Q:

What would be the next number in the sequence 52, 56, 48, 64, 32, ?

A) 96 B) 48
C) 54 D) 81
 
Answer & Explanation Answer: A) 96

Explanation:

The given number series is 52, 56, 48, 64, 32, …

It follows a pattern that,

52

52 + 4 = 56

56 - 8 = 48

48 + 16 = 64

64 - 32 = 32

32 + 64 = 96

Therefore, the required next number in the given number series is 96.

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Filed Under: Number Series
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8 3868