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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Karan purchased one dozen pens for Rs. 120 and sold a pack of 3 pens for Rs.35 each. What is his gain?

A) 16.67% B) 20%
C) 15% D) 33.33%
 
Answer & Explanation Answer: A) 16.67%

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Filed Under: Profit and Loss
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Q:

Area of the circle inscribed in a square of diagonal 6√2 cm (in sq cm) is

A) 9 Π B) 6 Π
C) 3 Π D) 9√2 Π
 
Answer & Explanation Answer: A) 9 Π

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Filed Under: Area
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Q:

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is

A) 35 Km B) 21 Km
C) 9 Km D) 12 Km
 
Answer & Explanation Answer: D) 12 Km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22 B) 44
C) 20 D) 40
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Sum of factors of 4b2c2-(b2+c2-a2)2 is 

A) a + b + c B) 2(a + b + c)
C) 0 D) 1
 
Answer & Explanation Answer: B) 2(a + b + c)

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?

A) 65 B)  59
C) 69 D) 80
 
Answer & Explanation Answer: C) 69

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Filed Under: Problems on Numbers
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Q:

If a stall sells a pizza at Rs 200 he makes 20% loss if he wants to make 10% profit then at what price (in Rs) should he sell?

A) 250 B) 300
C) 275 D) 325
 
Answer & Explanation Answer: C) 275

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Q:

What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ?

A) 28450 B) 26340
C) 32640 D) 36450
 
Answer & Explanation Answer: C) 32640

Explanation:

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

 

The formula to find sum of all numbers in a permutation is

 

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

 

No of 1 s depends on number of digits

 

So,the answer us

 

111 x 20 x (0+1+2+3+4+5) = 33300

 

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

 

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

 

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

 

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

 

Hope u understood why we use 4. Each number can be formed in 4x1 ways

 

So, the final answer is 33300-660 = 32640

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Filed Under: Permutations and Combinations
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