Aptitude and Reasoning Questions

Q:

Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls

A) 0.5 B) 0.75
C) 0.25 D) 0.8
 
Answer & Explanation Answer: B) 0.75

Explanation:

P(red ball) = 5/12

P(white ball) = 4/12

P(red or white ball) = 5/12 + 4/12 = 3/4 = 0.75

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Filed Under: Probability

1 4039
Q:

Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)

A) (i) B) (ii)
C) both (i) and (ii) D) none
 
Answer & Explanation Answer: A) (i)

Explanation:

PW = 100×Amount100+R×T

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

8 4038
Q:

An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?

A) 2000 B) 3000
C) 2500 D) 3500
 
Answer & Explanation Answer: A) 2000

Explanation:

Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

 

Therefore, s + b = 5000 ... eqn (1)

 

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

 

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

 

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

 

Or 150s + 250b = 10,50,000 ... eqn (2)

 

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

 

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

 

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

 

2000 small packets were sold.

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 4036
Q:

1.52 x 0.0225 = ?

A) 0.0375 B) 0.3375
C) 3.275 D) 32.75
 
Answer & Explanation Answer: B) 0.3375

Explanation:
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Q:

125% as a Fraction?

A) 1/4 B) 3/4
C) 5/4 D) 7/4
 
Answer & Explanation Answer: C) 5/4

Explanation:

Literally any percentage means divide by 100.

So 125% = 125100. That can be reduced to 5/4.

To convert to a decimal, you can do long division, dividing 5 into 4.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

5 4032
Q:

If 27th December 2009 was a Thursday, then what day of the week was it on 1st March 2010?

A) Thursday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: B) Friday

Explanation:
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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT

23 4031
Q:

What is the number of decimal places in a cube root of a number having 27 decimal places ?

A) 3 B) 6
C) 9 D) 27
 
Answer & Explanation Answer: C) 9

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?

A) 48 B) 24
C) 64 D) 32
 
Answer & Explanation Answer: C) 64

Explanation:

Total number of balls = 2 + 3 + 4 = 9

Total number of ways 3 balls can be drawn from 9 = 9C3

No green ball is drawn = 9 - 3 = 6 = 6C3

Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

= 9C3 - 6C3

= 9x8x7/3x2  -  6x5x4/3x2

= 84 - 20

= 64 ways.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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