Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

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

Explanation:

Let the present age of P be 8x and Q be 5x After 4 years, P's age = 8x + 4 and Q's age = 5x + 4 8x+4/5x+4 = 4/3 24x+12 = 20x+16 => 4x = 4=> x = 1 Present age of P = 8 years Present age of Q = 5 years Required ratio = 15 : 5 = 3 : 1

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Filed Under: Problems on Ages

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Q:

When a discount of 20% is given on an African safari ticket, the profit is 43%. If the discount is 28%, then the profit is

A) 71 percent B) 113.3 percent
C) 13.6 percent D) 28.7 percent
 
Answer & Explanation Answer: D) 28.7 percent

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

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Q:

What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 10,000 at 40% per annum compounded quarterly and annually?

A) 461 B) 346
C) 463 D) 641
 
Answer & Explanation Answer: D) 641

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

The average of four consecutive odd numbers is 40. What is the largest number?

A) 42 B) 45
C) 43 D) 44
 
Answer & Explanation Answer: C) 43

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

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Q:

If a=101 then the value of a(a2-3a+3) is 

A) 1000000 B) 1010101
C) 1000001 D) 999999
 
Answer & Explanation Answer: C) 1000001

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Select the odd number from the given alternatives.

A) 133 B) 253
C) 231 D) 209
 
Answer & Explanation Answer: A) 133

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Selling price of a fan is Rs 4644. If profit percentage is 29%, then what is the cost price (in Rs) of fan?

A) 5900 B) 3500
C) 3800 D) 3600
 
Answer & Explanation Answer: D) 3600

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

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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