GATE Questions

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 36238
Q:

Find the next number in the given number sequence?

9, 19, 21, 43, 45, ...

A) 88 B) 54
C) 91 D) 49
 
Answer & Explanation Answer: C) 91

Explanation:

The given number series 9, 19, 21, 43, 45, ... follows a pattern that

ALternately (x 2 + 1) and  (x 1 + 2)

9 x 2 + 1 = 19

19 x 1 + 2 = 21

21 x 2 + 1 = 43

43 x 1 + 2 = 45

45 x 2 + 1 = 91

 

Hence, the next number in the given sequence is 91.

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Filed Under: Number Series
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8 36085
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 35835
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 35673
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 35560
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 35358
Q:

What is the common ratio of the following geometric sequence?

4, 2, 1, 0.5, 0.25, 0.125,...

A) 0.5 B) -1
C) 1.5 D) -0.5
 
Answer & Explanation Answer: A) 0.5

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

 

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

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Filed Under: Problems on Numbers
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3 35329
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 35313