Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

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

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Q:

If a saree is sold for Rs 2880 the seller will face 10% loss, at what price (in Rs) should he sell to gain 20% profit?

A) 4830 B) 3840
C) 3480 D) 4380
 
Answer & Explanation Answer: B) 3840

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The average weight of Shubha, Govinda and Reshma is 65 kg. If the average weight of Shubha and Govinda be 63 kg and that of Govinda and Reshma be 70 kg, then the weight of Govinda is

A) 41 B) 71
C) 88 D) 46
 
Answer & Explanation Answer: B) 71

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Which number is 30% less than 80% of 800?

A) 524 B) 192
C) 448 D) 368
 
Answer & Explanation Answer: C) 448

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

70% of the cost price of a article is equal to the 40% of its selling price. What is the profit or loss percentage?

A) 63% loss B) 70% loss
C) 75% profit D) 80% profit
 
Answer & Explanation Answer: C) 75% profit

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

To travel 708 km, an Express train takes 6 hours more than Rajdhani train. If however, the speed of the Express train is doubled, it takes 3 hours less than Rajdhani train. What is the speed of Rajdhani train?

A) 59 km/hr B) 78.7 km/hr
C) 39.3 km/hr D) 98.3 km/hr
 
Answer & Explanation Answer: A) 59 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Parvesh is three times as efficient as Dinesh. Parvesh takes 20 days less than Dinesh to complete a book. If both of them work together, then in how many days the book will be completed?

A) 7.5 B) 8
C) 10 D) 6.5
 
Answer & Explanation Answer: A) 7.5

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

The quadratic equation 1+a2x2+2abx+b2-c2=0 has only one root. What is the value of c21+a2 ?

A) a2 B) b2
C) c2 D) ab
 
Answer & Explanation Answer: B) b2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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