Quantitative Aptitude - Arithmetic Ability Questions

Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1980
Q:

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

A) Rs. 400 B) Rs. 350
C) Rs. 300 D) Rs. 100
 
Answer & Explanation Answer: C) Rs. 300

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

3 1980
Q:

The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

A) x + 1 B) x + 2
C) 2.5x D) x + 2.5
 
Answer & Explanation Answer: A) x + 1

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

3 1980
Q:

If on a Sale there is 30% discount on the marked price of Rs 2500, but the sale is done at Rs 1400 only. What additional discount (in %) did the customer get?

A) 10 B) 20
C) 15 D) 25
 
Answer & Explanation Answer: B) 20

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

0 1979
Q:

If l + m + n = 9 and l2+m2+n2 = 31, then the value of lm + mn + nl will be

A) 22 B) 50
C) 25 D) -25
 
Answer & Explanation Answer: C) 25

Explanation:
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Filed Under: Simplification

0 1979
Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 15 – 225 B) 25 – 625
C) 35 – 1225 D) 45 – 2525
 
Answer & Explanation Answer: D) 45 – 2525

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

1 1979
Q:

The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

A) 12.7 cm B) 7.7 cm
C) 10.7 cm D) 5.7 cm
 
Answer & Explanation Answer: D) 5.7 cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 1978
Q:

Determine the value of  'a' which satisfies the equation 9a + 40a = 41a

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

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

1 1978