Quantitative Aptitude - Arithmetic Ability Questions

Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days B) 37.5 days
C) 17.5 days D) 35 days
 
Answer & Explanation Answer: B) 37.5 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

A) 140 B) 60
C) 80 D) 120
 
Answer & Explanation Answer: B) 60

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

25% discount is offered on an item. By applying a promo code the customer wins 4% cash back. What is the effective discount?

A) 28 percent B) 29.12 percent
C) 29 percent D) 5 percent
 
Answer & Explanation Answer: A) 28 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?

A) 250 B) 200
C) 150 D) 100
 
Answer & Explanation Answer: A) 250

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If a-1a=7,then a2+1a2=?

A) 54 B) 51
C) 53 D) 52
 
Answer & Explanation Answer: B) 51

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If Rs 7,800 is to be divided between A, B and C in the ratio 1/2 : 1/3 : 1/4, then how much share will B get (in Rs)?

A) 3600 B) 1800
C) 2400 D) 1200
 
Answer & Explanation Answer: C) 2400

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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