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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Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46 B) 44
C) 42 D) 40
 
Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Q:

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A) 333 sq.mts B) 330 sq.mts
C) 362 sq.mts D) 432 sq.mts
 
Answer & Explanation Answer: D) 432 sq.mts

Explanation:

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

 

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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Q:

Read the data given below and answer the questions based on it.

 

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

 

What is the percentage of students who passed in all subjects?

A) 8 B) 12
C) 7 D) 10
 
Answer & Explanation Answer: C) 7

Explanation:
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Q:

Calculate the future value of $3,000 invested at 7% for 5 years

A) 4207.66 B) 5207
C) 4376 D) 5687
 
Answer & Explanation Answer: A) 4207.66

Explanation:

F=P(1+i)^n

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Q:

Which is the correct ascending order of the given numbers?

 

A) 2/3, 5/6, 3/4 B) 3/4, 2/3, 5/6
C) 2/3, 3/4, 5/6 D) 5/6, 3/4, 2/3  
 
Answer & Explanation Answer: C) 2/3, 3/4, 5/6

Explanation:
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Q:

The costs of daily ticket of local train is Rs 160 and Monthly Pass costs Rs 2912. If I buy the Monthly Pass and travel for 26 days in a month then I save?

A) 25 percent B) 22 percent
C) 18 percent D) 30 percent
 
Answer & Explanation Answer: D) 30 percent

Explanation:
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Q:

What is the value of cosec 120°

A) 2/√3 B) 2
C) -2/√3 D) -2
 
Answer & Explanation Answer: A) 2/√3

Explanation:
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