Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

A) 6/7 B) 7/6
C) 5/6 D) 6/5
 
Answer & Explanation Answer: B) 7/6

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Filed Under: Simplification
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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Filed Under: Numbers
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Q:

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A) 81 m B) 80 m
C) 75 m D) 72 m
 
Answer & Explanation Answer: D) 72 m

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Filed Under: Area
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Q:

The sum of present age of father and his son is 60 yrs. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?

A) 45 B) 25
C) 20 D) 33
 
Answer & Explanation Answer: C) 20

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Filed Under: Problems on Ages
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Q:

In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B's score now?

A) 235 B) 230
C) 240 D) 225
 
Answer & Explanation Answer: C) 240

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Filed Under: Average
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Q:

The average revenues of 11 consecutive years of a company is Rs 77 lakhs. If the average of first 6 years is Rs 72 lakhs and that of last 6 years is Rs 84 lakhs, What is the revenue for the Sixth year.

A) Rs 91 lakhs B) Rs 87 lakhs
C) Rs 85 lakhs D) Rs 89 lakhs
 
Answer & Explanation Answer: D) Rs 89 lakhs

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Q:

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

 

A) 50 and 54  B) 54 and 72 
C) 48 and 80  D) 56 and 64
 
Answer & Explanation Answer: C) 48 and 80 

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

A) 6/15, ­-10/3 B) 6/5, ­-10/3
C) 7/2, ­-8/7 D) -10/7, 14/5
 
Answer & Explanation Answer: A) 6/15, ­-10/3

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Filed Under: Problems on Numbers
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