In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Byadmin July 18, 2022

Question:
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

[A].

[B].

[C].

[D].

Answer: Option A

Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E	= event that the ball drawn is neither red nor green
	= event that the ball drawn is blue.

n(E) = 7.

P(E) =	n(E)	=	7	=	1	.
	n(S)		21		3

Aptitude | Permutation And Combination

In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?

Question: In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?
[A].

360
[B].
480
[C].
720
[D].
5040

Answer: Option C

Explanation:

The word ‘LEADING’ has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

Video Explanation: https://youtu.be/WCEF3iW3H2c

Read More In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?
Aptitude | Numbers

-84 x 29 + 365 = ?

Question:
-84 x 29 + 365 = ?

[A].

2436
[B].
2801
[C].
-2801
[D].
-2071

Answer: Option D

Explanation:

Given Exp. = -84 x (30 – 1) + 365

= -(84 x 30) + 84 + 365

= -2520 + 449

= -2071

Read More -84 x 29 + 365 = ?
Alligation Or Mixture | Aptitude

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

Question: 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
[A].

18 litres
[B].
24 litres
[C].
32 litres
[D].
42 litres

Answer: Option B

Explanation:

Let the quantity of the wine in the cask originally be x litres.

Then, quantity of wine left in cask after 4 operations = x 1 – 8 4 litres.

x

x(1 – (8/x))4 = 16

x 81

1 – 8 4 = 2 4

x 3

x – 8 = 2

x 3

3x – 24 = 2x

x = 24.

Read More 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
Aptitude | Problems On Ages

A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

Question:
A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

[A].

32 years
[B].
36 years
[C].
40 years
[D].
48 years

Answer: Option C

Explanation:

Let the mother’s present age be x years.

Then, the person’s present age = 2 x years.

5

2 x + 8 = 1 (x + 8)

5 2

2(2x + 40) = 5(x + 8)

x = 40.

Read More A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Aptitude | Problems on Numbers

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

Question:
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

[A].

145
[B].
253
[C].
370
[D].
352

Answer: Option B

Explanation:

Let the middle digit be x.

Then, 2x = 10 or x = 5. So, the number is either 253 or 352.

Since the number increases on reversing the digits, so the hundred’s digits is smaller than the unit’s digit.

Hence, required number = 253.

Read More A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Aptitude | Calendar

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Question: If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
[A].

Sunday
[B].
Saturday
[C].
Tuesday
[D].
Wednesday

Answer: Option A

Explanation:

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).

Read More If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Given Exp.	= -84 x (30 – 1) + 365
	= -(84 x 30) + 84 + 365
	= -2520 + 449
	= -2071

Then, quantity of wine left in cask after 4 operations =		x		1 –	8		4	litres.
					x

		x(1 – (8/x))4		=	16
		x			81

		1 –	8		4	=		2		4
			x					3

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