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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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Filed Under: Arithmetical Reasoning
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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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Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Filed Under: Numbers
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5 4586
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 4584
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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Filed Under: Permutations and Combinations
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5 4581
Q:

Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

A) 350 kms B) 450 kms
C) 900 kms D) 700 kms
 
Answer & Explanation Answer: C) 900 kms

Explanation:

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

 

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

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Filed Under: Boats and Streams
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14 4581
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 4570
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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