Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36 B) 25/36
C) 5/6 D) 1/6
 
Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

E = (2,3) (2,6) (4,3) (4,6) (6,3) (6,6) (3,2) (3,4)(3,6) (6,2)(6,4)

n(E) = 11P(E) = 11/36Required probability = 1-11/36 = 25/36

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Filed Under: Probability
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Q:

On which dates of December, 2018 will be Wednesdays?

A) 4, 11, 18 & 25 B) 5, 12, 19 & 26
C) 3,10, 17 & 24 D) 6, 13, 20 & 27
 
Answer & Explanation Answer: B) 5, 12, 19 & 26

Explanation:
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Filed Under: Calendar
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16 3538
Q:

A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?

A) 40/3, 40 B) 20/3, 20
C) 30, 20/3 D) 50/3, 25
 
Answer & Explanation Answer: A) 40/3, 40

Explanation:
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Filed Under: Time and Work
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Q:

18 as a decimal?

A) 0.375 B) 0.247
C) 0.214 D) 0.125
 
Answer & Explanation Answer: D) 0.125

Explanation:

Here  18 in decimal means 8th part in 1.

We know that 110 = 0.1

Then,   18 = ?

=> ? = 18 x 0.1110= 0.1 x 108= 0.5418= 0.125

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Filed Under: Decimal Fractions
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4 3537
Q:

Two number P & Q are 20 % and 28 % less then a number X. What is the percentage the number Q is smaller then the number P?

A) 10% B) 23%
C) 12% D) 13%
 
Answer & Explanation Answer: A) 10%

Explanation:

Let the number X is 100

Then, PÃ 80 QÃ 72

So, Percentage decrease from P to Q is à 8/80=0.1-100=10%

1 is the right choice.

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1 3534
Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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Q:

In PQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be

A) 5:11 B) 6:5
C) 11:6 D) 11:5
 
Answer & Explanation Answer: A) 5:11

Explanation:
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Filed Under: Ratios and Proportions
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1 3527
Q:

Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

A) 12 B) 13
C) 15 D) 19
 
Answer & Explanation Answer: B) 13

Explanation:
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Filed Under: Simple Interest
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