GATE Questions

Q:

What should be replaced in the place of '?' in the following series ?

JAK, KBL, LCM, MDN, ?

A) MEN B) NEM
C) NEO D) OEP
 
Answer & Explanation Answer: C) NEO

Explanation:

This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.

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Filed Under: Number Series
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6 30639
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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7 30603
Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  ?

A) 215 B) 268
C) 254 D) 216
 
Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

 

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
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27 30567
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 30441
Q:

11 letter Indian city is I am

Hints ::

2,4,10 is a Unit of Length .

Last 6 letters is a Fruit Name.

9,5,3 is a Soap Name.

1,8,3 is used by a Student

7,8,3 letters is a Bird Name.

6,7,5,3 is an organ in the Face.

 

From the above given Hints Find that Indian City Name?

Answer

PONDICHERRY is the Indian City with 11 Letters.


Fruit Name : CHERRY


Soap Name : RIN


Bird Name : HEN


Organ : CHIN


Used by Student : PEN

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160 30339
Q:

Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev?

A) 12 B) 14
C) 22 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Let Rajeev's present age be  x years.

Rajeev's age after 15 years = (x + 15) years.

Rajeev's age 5 years back = (x - 5) years

Then ATQ, 

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

 

Hence, Rajeev's present age = x = 10 years.

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Filed Under: Problems on Ages
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48 30274
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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15 30195
Q:

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ?

A) 38 B) 39
C) 40 D) 41
 
Answer & Explanation Answer: C) 40

Explanation:

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

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Filed Under: Profit and Loss
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57 30088