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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

For the circle shown below, find the length (in cm) of the largest cord of the circle.

 

 

A) 8 B) 12
C) 16 D) 18
 
Answer & Explanation Answer: C) 16

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 3653
Q:

Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ?

A) 24 km B) 50 km
C) 42 km D) 30 km
 
Answer & Explanation Answer: B) 50 km

Explanation:

We know 60 min = 1 hr
Total northward Laxmi's distance = 20kmph x 1hr = 20 km
Total southward Prasanna's distance = 30kmph x 1hr = 30 km
Total distance between Prasanna and Laxmi is = 20 + 30 = 50 km.

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Filed Under: Time and Distance
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3 3652
Q:

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ?

A) 8.7 hrs B) 5.2 hrs
C) 5 hrs D) 7.5 hrs
 
Answer & Explanation Answer: D) 7.5 hrs

Explanation:

Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs

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Filed Under: Time and Work
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3 3650
Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

A) 2 hrs 50 min B) 3 hrs 25 min
C) 3 hrs D) 2 hrs 5 min
 
Answer & Explanation Answer: C) 3 hrs

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

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Filed Under: Problems on Numbers
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2 3649
Q:

If the rate of inflation for the next 20 years is 2.5% per year, what annual income will be needed 20 years from now to have the same purchasing power as a $30,000 annual income today?

A) 39158 B) 49158
C) 59158 D) 69158
 
Answer & Explanation Answer: B) 49158

Explanation:

i=j/m

FV = PV(1+  i)^n

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Filed Under: Compound Interest
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Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

A) 550 B) 575
C) 625 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

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Filed Under: Percentage
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Q:

The variance of a set of data is 169. Then the standard deviation of the data is

 

A) +-13 B) 13
C) 69 D) 84.5
 
Answer & Explanation Answer: B) 13

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A) 1/26 B) 1/13
C) 2/13 D) 1/52
 
Answer & Explanation Answer: A) 1/26

Explanation:

Here in this pack of cards, n(S) = 52

Let E = event of getting a queen of the club or a king of the heart

Then, n(E) = 2

P(E) = n(E)/n(S) = 2/52 = 1/26

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Filed Under: Probability
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