GATE Questions and Answers with Explanation

Q:

A boat can move 5 km/hr in still water. If the river is running at 1 km/hr, it takes it 75 min to move to a place and back. How far is the place?

A) 3 kms	B) 5 kms
C) 6 kms	D) 4 kms

Answer & Explanation Answer: A) 3 kms

Explanation:

Let the place be at a distance of 'd' kms

From the given data,

$\frac{d}{5 - 1} + \frac{d}{5 + 1} = \frac{75}{60} kms \frac{d}{4} + \frac{d}{6} = \frac{5}{4}$

5d/12 = 5/4 => d = 3 kms.

Hence, the place is 3 kms far.

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Filed Under: Boats and Streams
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21 5743

Q:

Find the odd one out of the following words ?

A) cruise	B) crusade
C) expedition	D) campaign

Answer & Explanation Answer: A) cruise

Explanation:

Cruise = a sea voyage for pleasure. All other words are related to ‘journey on land, sea with an aim’.

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Filed Under: Analogy
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3 5737

Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in $11 \frac{1}{9}$ days, in how many days will Q alone do the same work ?

A) 24 days	B) 25 days
C) 20 days	D) 19 days

Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L^{2} - 245 L + 500 = 0$

L = 25 days.

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Filed Under: Time and Work
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11 5735

Q:

$112 \times 5^{4} =$

A) 68947	B) 69874
C) 70000	D) 76000

Answer & Explanation Answer: C) 70000

Explanation:

$112 \times 5^{4} 112 \times {(\frac{10}{2})}^{4} = \frac{112 \times 10000}{2^{4}} = 1120000 / 16$

= 70,000.

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Filed Under: Simplification
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13 5734

Q:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

A) 28	B) 22
C) 18	D) 12

Answer & Explanation Answer: B) 22

Explanation:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

=> 63.5% of 8925 + ? % of 5325 = 6830

=> 6830 ~= 5320 + ?(5325)/100

=> ? ~= 22

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Filed Under: Percentage
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6 5728

Q:

Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?

A) 96 days	B) 48 days
C) 24 days	D) 12 days

Answer & Explanation Answer: A) 96 days

Explanation:

Let number of days Charan can do the same work alone is 'd' days.

According to the given data,

$\frac{5}{12} + \frac{7}{16} + \frac{14}{d} = 1 \frac{14}{d} = 1 - \frac{(20 + 21)}{48} \frac{14}{d} = \frac{48 - 41}{48} d = \frac{14 x 48}{7} d = 96 days$

Therefore, Charan alone can complete the work in 96 days.

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Filed Under: Time and Work
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6 5721

Q:

Succus Entericus is the name given to

A) Intestinal juice	B) Appendix
C) A junction b/w ileum and large intestine	D) None of the above

Answer & Explanation Answer: A) Intestinal juice

Explanation:

Succus Entericus is the other name for the for the digestive intestinal juice secreted by the duodenum.

Succus_Entericus_is_the_name_given_to1558073828.png image

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Filed Under: Biology
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3 5720

Q:

200 D for P G in M

Answer

Logically the given letter equation implies that, 200 Dollars for Passing GO in Monopoly.

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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6 5712

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