GATE Questions

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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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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Q:

The clipboard

A) is a Cache memory B) is a feature that stores user information
C) is used to temporarily store, items that has been cut or copied D) is a feature that saves file temporarily
 
Answer & Explanation Answer: C) is used to temporarily store, items that has been cut or copied

Explanation:

A clipboard is a temporary storage area for items that the user wants to cut or copy from one place to another.

 

For example, in a word processor application, the user might want to cut text from one part of a document and paste it in another part of the document or somewhere else, it is temporarily stored in clipboard.

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Q:

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m1 = -p

m2= -3

The condition for the two lines to be parallel is m1=m2

p = 3

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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 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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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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7 4559
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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