Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

If an = 1n + 1 + 1 then find the value of a1 + a3 + a5.

 

 

A) 17/12 B) 27/12
C) 37/12 D) 47/12
 
Answer & Explanation Answer: D) 47/12

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13! B) 15 × 14 × 14!
C) 14 × 12 × 12! D) 15 × 13 × 13!
 
Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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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:

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
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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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Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60% B) 50%
C) 70% D) 45%
 
Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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Filed Under: Profit and Loss
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