Quantitative Aptitude - Arithmetic Ability Questions

Q:

The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is

(use π=227)

A) 301.71 cm3 B) 310.71 cm3
C) 301.17 cm3 D) 310.17 cm3
 
Answer & Explanation Answer: A) 301.71 cm3

Explanation:
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Filed Under: Simplification
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Q:

A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ? 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

A's Salary  = 40% of B = 40% of (25% of C) = 40/100[(52/100)*100] % of C = 10% of C.

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Filed Under: Percentage

228 77262
Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Area of the park = (60 x 40) = 2400m2

Area of the lawn = 2109m2 

Area of the crossroads = (2400 - 2109) = 291m2 

Let the width of the road be x metres. Then,

60x+40x-X2=291 

x2-100x+291=0 

  (x - 97)(x - 3) = 0
   x = 3.

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Filed Under: Area
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Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5% B) 13.5%
C) 11.5% D) 14.5%
 
Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

 

We know that S.I. = PTR/100

 

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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Filed Under: Simple Interest
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466 77219
Q:

Direction: What should come in the place of question mark (?) in the following number series?

7, 10, 16, 28, ?, 100

A) 34 B) 40
C) 52 D) 60
 
Answer & Explanation Answer: C) 52

Explanation:

The pattern followed is +3 , +6 , +12 , +24 , +48

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

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Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7 B) 1/7
C) 3/4 D) 4/5
 
Answer & Explanation Answer: A) 2/7

Explanation:

Probability_35.jpg

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Filed Under: Probability

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Q:

12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working  and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

A) 8 B) 12
C) 16 D) 24
 
Answer & Explanation Answer: B) 12

Explanation:

1 man's 1 day work =1/96 ; 1 woman's 1 day work = 1/192

Work done in 6 days=6896+8192=6×18 =34 

Remaining work = 1/4

(8 men +8 women)'s 1 day work = 1896+8192 =1/8

Remaining work =1/4 -  1/8 = 1/8

 

 1/96 work is done in 1 day by 1 man

 

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) =12 men

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Filed Under: Time and Work

323 75196
Q:

40% of 75 + 80% of 25 = K% of 250

 

Find the value of K?

A) 10 B) 20
C) 30 D) 35
 
Answer & Explanation Answer: B) 20

Explanation:

From the given data,

 

40100 x 75 + 80100 x 25 = K100 x 25030 + 20 = 5K250 x 2 = 5KK = 1005 = 20

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Filed Under: Percentage
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