GATE Questions

Q:

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?

A) 5:3 B) 1:4
C) 4:1 D) 9:1
 
Answer & Explanation Answer: D) 9:1

Explanation:

Milk = 3/5 x 20 = 12 liters, water = 8 liters

 

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

 

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

 

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

 

The ratio of milk and water in the new mixture = 16:4 = 4:1

 

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

 

Amount of water removed = 2 liters.

 

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

 

Now 10 lts milk is added => total milk = 18 lts

 

The required ratio of milk and water in the final mixture obtained

 

= (8 + 10):2 = 18:2 = 9:1.

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Filed Under: Alligation or Mixture
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53 36380
Q:

10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

A) 215 days B) 225 days
C) 235 days D) 240 days
 
Answer & Explanation Answer: B) 225 days

Explanation:

Given that

(10M + 15W) x 6 days = 1M x 100 days

=> 60M + 90W = 100M

=> 40M = 90W

=> 4M = 9W.

From the given data,

1M can do the work in 100 days

=> 4M can do the same work in 100/4= 25 days.

=> 9W can do the same work in 25 days.

=> 1W can do the same work in 25 x 9 = 225 days.

 

Hence, 1 woman can do the same work in 225 days.

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45 36286
Q:

Choose the missing terms in the given series from the four alternatives given below.

C, E, G, J, M, Q, ?

A) T B) U
C) P D) V
 
Answer & Explanation Answer: B) U

Explanation:

The letters move 2, 2, 3, 3, 4, 4, ... steps forward.

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Filed Under: Number Series
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10 36004
Q:

Eastern ghats and Western ghats meet at the

A) Annamalai hills B) Palani hills
C) Nilgiri hills D) Cardamom hills
 
Answer & Explanation Answer: C) Nilgiri hills

Explanation:

The Eastern Ghats are a discontinuous range of mountains along India's eastern coast whereas Western Ghats also known as Sahyadri is a mountain range that runs parallel to the western coast of the Indian peninsula.

eastern_ghats_and_western_ghats_meet_at_the1536656083.png image

Eastern ghats and Western ghats meet at the Nilgiri hills in Tamilnadu.

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Filed Under: Indian Geography
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55 35952
Q:

Choose the missing terms in the given series from the four alternatives given below.

GMQ, JOT, MQW, ?

A) PTZ B) ORY
C) VXY D) PSZ
 
Answer & Explanation Answer: D) PSZ

Explanation:

The first letter moves three steps forward. The second letter moves two steps forward. The third letter moves three steps forward.

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Filed Under: Number Series
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7 35823
Q:

Merge cells option can be applied from?

A) Format Cells dialog box Alignment Tab B) Formatting toolbar
C) Both of above D) None of above
 
Answer & Explanation Answer: A) Format Cells dialog box Alignment Tab

Explanation:

Merge_cells_option_can_be_applied_from1554444124.PNG image

 

Steps for merging cells :

1. Select which you want to merge

2. After selecting right click on that highlightened cells to get format cells option.

3. Click format cells to merge get merge option.

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63 35763
Q:

If  1 1 1 1 = R
    2 2 2 2 = T
    3 3 3 3 = E
    4 4 4 4 = N

 

Then  5 5 5 5 = ?

A) Y B) Z
C) T D) X
 
Answer & Explanation Answer: A) Y

Explanation:

If you add all the terms of the LHS of equality, then the last letter of the sum written in words would give you the RHS.

1 + 1 + 1 + 1 = 4 = FOUR

2 + 2 + 2 + 2 = 8 = EIGHT

3 + 3 + 3 + 3 = 12 = TWELVE

4 + 4 + 4 + 4 = 16 = SIXTEEN

 

So, following the same pattern.

5 + 5 + 5 + 5 = 20 = TWENTY

 

That gives us our answer to 5 5 5 5 =  "Y".

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83 35696
Q:

What Asks But Never Answers?

A) Teacher B) Telephone
C) Letter D) Owl
 
Answer & Explanation Answer: D) Owl

Explanation:

An owl.

"What noise does an owl make?

The sound an Owl makes, it sounds like, "Who?" to our ears.

They sounds entire lives asking the same question, but they'll never give any answers.

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Filed Under: Word Puzzles
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16 35641