GATE Questions

Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days B) 15 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

 

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
n2 + 39n - 550 = 0
 n2+ 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Filed Under: Arithmetical Reasoning
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Q:

A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days.

A) 8 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.

 

Volume of tank = 20 × 15 × 5 = 1500 Cu.m.

 

Number of days required =1500/750 = 2 days.

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Filed Under: Time and Work
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Q:

The safest hammers are those with heads that are

A) cast steel and chiseled B) alloy and drop-forged steel
C) welded and alloyed D) chiseled and drop forged
 
Answer & Explanation Answer: B) alloy and drop-forged steel

Explanation:
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Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ?

A) 36 B) 40
C) 42 D) 38
 
Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

 

=> A & B together completes 1/10 of work in 4 days

 

=> 1 work can completed in ------ ? days

 

Let it be x days

 

=>  4110=x1

 

=> x = 40 days.

 

Hence, A & B together can complete the work in 40 days.

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Filed Under: Time and Work
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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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Q:

Number Challenge

18921670_1321859587921142_9198649458573070542_n1499236265.jpg image

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:

Sum of all numbers in each row and columns must be 15.

In last row to gt sum as 15 missing number must replaced by 1. 

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Filed Under: Number Puzzles
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Q:

What is harder to catch the faster you run?

A) Breathe B) Fire
C) Water D) Time
 
Answer & Explanation Answer: A) Breathe

Explanation:

It is very hard to catch breathe when you run fast.

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Q:

What happens during the process of translation?

A) Transfer RNA is made from messenger RNA B) Copies of DNA molecules are made
C) The cell uses information from messenger RNA to produce proteins D) Messenger RNA is made from DNA
 
Answer & Explanation Answer: C) The cell uses information from messenger RNA to produce proteins

Explanation:

Translation is the process by which a protein is synthesized from the information contained in a molecule of messenger RNA (mRNA). During translation, an mRNA sequence is read using the genetic code, which is a set of rules that defines how an mRNA sequence is to be translated into the 20-letter code of amino acids, which are the building blocks of proteins.

 

In short, during the process of translation source language text is conveyed to destination language.

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