Quantitative Aptitude - Arithmetic Ability Questions

Q:

When a number is increased by 38, it becomes 119% of itself. What is the number?

A) 200 B) 456
C) 570 D) 342
 
Answer & Explanation Answer: A) 200

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 5306 B) 2147
C) 4205 D) 4308
 
Answer & Explanation Answer: D) 4308

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Filed Under: Odd Man Out
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Q:

If N = 0.369369369369... and M = 0.531531531531..., then what is the value of (1/N) + (1/M)?

A) 11100/2419 B) 111/100
C) 1897/3162 D) 2419/11100
 
Answer & Explanation Answer: A) 11100/2419

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Filed Under: Problems on Numbers
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Q:

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

 

A) 4 B)  5  
C)  6   D) 3.5
 
Answer & Explanation Answer: D) 3.5

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Filed Under: Time and Work
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Q:

If a merchant offers a discount of 40% on the list price, then he makes a loss of 10%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?

A) 4 percent loss B) 14 percent profit
C) 5.5 percent loss D) 20 percent profit
 
Answer & Explanation Answer: D) 20 percent profit

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT

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Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

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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
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Q:

What is the remainder when 6910 is divided by 81?

A) 25 B) 23
C) 21 D) 19
 
Answer & Explanation Answer: A) 25

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Filed Under: Problems on Numbers
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