GATE Questions

Q:

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?

A) 2 hrs 24 min B) 2 hrs 44 min
C) 1 hrs 24 min D) 1 hrs 24 min
 
Answer & Explanation Answer: A) 2 hrs 24 min

Explanation:

Given that three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.

Now, required time after which they met for the first time = LCM of (16, 24 & 36) min

Now, LCM of 16, 24, 36 = 144 minutes = 2 hrs 24 min.

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Filed Under: Time and Work
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15 4580
Q:

Number Challenge

Diamond_number1498884346.jpg image

A) 9 B) 11
C) 13 D) 15
 
Answer & Explanation Answer: B) 11

Explanation:

Half the Product of Number in the upper & lower box gives the number in the middle box.

i.e. 18 x 4/2 = 36

15 x 6/2 = 45

In the same way 

8 x N/2 = 44 => N = 11.

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10 4578
Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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7 4578
Q:

Statements : In a recent survey report, it has been stated that those who undertake physical exercise for at least half an hour a day are less prone to have any heart ailments.

Conclusions :

a) Moderate level of physical exercise is necessary for leading a healthy life.
b) All people who do desk-bound jobs definitely suffer from heart ailments.

A) Only a follows B) Both a & b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: A) Only a follows

Explanation:

The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow.

Hence, concusion a only follows the given statement.

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3 4577
Q:

The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

A) 2580 B) 3687
C) 4320 D) 5460
 
Answer & Explanation Answer: C) 4320

Explanation:

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

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5 4573
Q:

3.2% of 500 × 2. 4% of ? = 312

A) 812.5 B) 829.75
C) 749.85 D) 799.5
 
Answer & Explanation Answer: A) 812.5

Explanation:

Given 3.2% of 500 × 2. 4% of ? = 312Then,3.2 x 500100 x 2.4 x ?100 = 31216 x 2.4x?100 = 3129.6 x ?25 = 3129.6 x ? = 7800? = 78009.6? = 812.5

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Filed Under: Percentage
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7 4568
Q:

Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ?

A) 6 B) 7
C) 9 D) 11
 
Answer & Explanation Answer: A) 6

Explanation:

Let rate = R% and time = R years.

 

Then, (1200 x R x R) / 100 = 432

 

=> R = 6.

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Filed Under: Simple Interest
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3 4565
Q:

Dhoni ,Raina ,Kohli and Sikhar have all played 5 innings each and each scored 131 runs.The players Score Card is given below : 100,90,85,80,30,25,20,20,15,15,10,10,10,3,3,3,2,1,1,1.

 Given hints are:

 1. Dhoni & Raina have scored different runs in 4 innings however in one innings they have scored same runs.

2. Shikhar & Kohli have also scored different runs in 3 innings however their indivitual score is same throughout 2 innings(meaning each has scored same run twice in 2 innings). 

3. Shikhar's highest score is greater than that of Kohli's highest score.

4. Only Shikhar has scored more than 1 run in each innings.

5. Raina's hiighest score is greater than that of Dhoni's highest score.

Questions :

1. Who scored century in one innings ?
2. Who scored 35 runs in 2 consecutive innings ?
3. Who scored 30 runs in one innings ?

Answer

Scores of individuals :


Dhoni= 80,30,10,10,1
Raina=100,25,3,2,1
Kholi=85,20,15,10,1
Shikhar=90,20,15,3,3


Above combination satisfies all conditions given in the question.


Answer 1) Raina


Answer 2) Kohli and Shikhar


Answer 3) Dhoni

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