Quantitative Aptitude - Arithmetic Ability Questions

Q:

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

A) Rs 3350 B) Rs 3250
C) Rs 2700 D) Rs 2800
 
Answer & Explanation Answer: C) Rs 2700

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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?

A) 37.5 B) 42.5
C) 45 D) 50
 
Answer & Explanation Answer: D) 50

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?

A) 16.66 B) 20
C) 33.33 D) 14.28
 
Answer & Explanation Answer: A) 16.66

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If the product of two numbers is 2646 and their LCM is 42 then their HCF is

A) 64 B) 26
C) 46 D) 63
 
Answer & Explanation Answer: D) 63

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

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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

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Q:

If cot(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 -­ cosA)] B) cosecA -­ cotA
C) √[(1 -­ cosA)/2] D) √[(1 + cosA)/2]
 
Answer & Explanation Answer: A) √[(1 + cosA)/(1 -­ cosA)]

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The ratio of present ages of L and N is 7 : 5. If the age of N after seven years will be 32 years, then what is the present age (in years) of L?

A) 49 B) 35
C) 28 D) 42
 
Answer & Explanation Answer: B) 35

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)?

A) 82 B) 72
C) 92 D) 62
 
Answer & Explanation Answer: C) 92

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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