Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

 

A) 60 B) 45
C) 50 D) 65
 
Answer & Explanation Answer: A) 60

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

P can do (1/4)th of work in 10 days, Q can do 40% of work in 40 days and R can do (1/3)rd of work in 13 days. Who will complete the work first?

A) P B) Q
C) R D) Both P and R
 
Answer & Explanation Answer: C) R

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Q:

7 hrs after a goods train passed a station, another train travelling at a speed of 54 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 11 hours. What is the speed of the goods train?

A) 39.6 km/hr B) 49.5 km/hr
C) 33 km/hr D) 26.4 km/hr
 
Answer & Explanation Answer: C) 33 km/hr

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Filed Under: Problems on Trains

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Q:

A man buys a trouser in Rs.1250. By reduction of 20% in the price of trouser, he can purchase a t-shirt also in the same amount that was initially paid for the trouser. Find the price of the t-shirt?

A) Rs. 250 B) Rs. 125
C) Rs. 225 D) Rs. 200
 
Answer & Explanation Answer: A) Rs. 250

Explanation:

Initial amount spent on trouser by the man = Rs. 1250

Now, by the reduction of 20% in 1250, he can buy t-shirt too.

=> t-shirt cost = 20% of 1250 = 20 x 1250/100 = 250

 

Therefore, the price of the t-shirt = Rs. 250.

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Filed Under: Profit and Loss
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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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Q:

The cost price of an article is Rs x. It is marked up by 200%. It is sold at Rs 540 after giving 25% discount. What is the value of x (in Rs)?

A) 360 B) 250
C) 300 D) 240
 
Answer & Explanation Answer: D) 240

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Filed Under: Percentage
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Q:

If A's wealth is 4/9 times of B's and C's is 7/6 times of B's, what is the ratio of C's wealth to A's?

A) (8:21) B) (21:8)
C) (27:14) D) (14:27)
 
Answer & Explanation Answer: B) (21:8)

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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